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30ｷ36ｦ0 7 7 ｭ6 70ｷ3 ｮ6ｧ8056 50ｷ300 縺6 5 ｯ05 7 07 ｯ 7 ｭ ｯ04 ｭ03 ｰ 0ｷ36ｦ06 7 繖 70ｷ306 6 5 0 ﾀ0503070060 08 ｮ0303 縺0 ｧ090609 0403 閨0303 003 ｧ 0060503 陦ｧ 06 ﾀ09 ｧ ﾀ04 縺06 閨06-0006003 ｧ ｧ 04 罍ｧ006 縺03 0403 0 00 ｧ05 ｧ 06 ﾀ090308 05060300605 罍ｧ ｧ ｧ 0 05060 05 ｧ- 06 ﾀ0903006 0 00 ｧ 06. 6 50 0006 09 07 閨030503 04 05 07 04 罍ｧ0406 閨06003 0703 縺0060003, 0304 縺06 閨0600060 ｧ07 ｧ 陦縺0605 ｧ06 09 0509 ｧ06 040307 ﾀ0060 ｧ07 050603 罍ｧ ｧ, 00603030803 陦ｧ00306 閨0007 縺0600060 ｧ07 0403 ﾀ0006 閨06060 ｧ08. 6 5 090300906 09 07 閨030503 04 05 07 08 ｮ0303 縺0 ｧ09 09 04 罍ｧ0406 閨06003 (0403 ﾀ0006 06-0503) ｧ 閨0007 0403040503 縺060 ｧ07, ﾀ03 ﾀ05 040007060 ｧ06 0309030003 03 閨00308 05 縺0605 ｧ 04 ﾀ060503 0 0506 罍ｧ 00 08 ｮ0303 縺0 ｧ09 09. 705 03 ﾀ0303060003 ﾀ0504 0403003070605 04 縺060403 04 05060006 04 0403 閨0303 縺06 閨0007 03030503 04 0900 ﾀ ﾀ06 ｧ 閨0007 閨030 000 ｧ08 0 ｧ08 ｧ00 ｧ 閨0007 0403040503 縺060 ｧ08 0406 縺06 0903005 縺0300040030 ｧ 030305 0 ｧ. 07 縺03006 05030503, 04 罍ｧ 05 09030 ﾀ04 縺06 閨0600060 ｧ ｧ 0006050903 0304 縺06 閨0600 ｧ0504 0 ｧ0 ｧ0060, 00603030803 陦ｧ- 00308 閨0007 06 ﾀ0403060 ｧ07 0906 罍ﾀ, 09030503 縺0308 00307003 縺0609030060 閨0304 0504 03 0 ｧ- 09 0 ｧ00 ｧ 閨0007 03030503 0 0406 06 縺0 ｧ08 07 09060004050605 08. 08 ｮ0303 縺0 ｧ0909 003070605 03030504 ｧ ﾀ04030004 0304 0 09 09 閨0007 03030503 0403 縺06-09030403 陦ﾀ0504030 04 縺060403 04 05060007, 05 09 ｧ 閨0007 ﾀ 003 ﾀ050307050600040030503 ｧ 06 060 ｧ07 0906 罍ﾀ 0403 ﾀ000608 0 05060 05 ｧ09 ｧ 0403 040506 08, 05 09 09 09 0403 05 ｧ 04 ﾀ06 ｧ ｧ0060605 030504060503, 00609030503 縺0306 ｧ 縺0600060 ｧ07 ｧ, 09 縺03006 05030503, 0903 000305 ｧ0 0 04 050609 ﾀ0506 ｧ00 ｧ 04 0305040605 08 003 0609 0 ｧ07 09 ｧ08 縺0600060 ｧ06. 70503006 0706 ﾀ0403 ﾀ0303 ﾀ0504060605 09 0509 ｧ06 040307 ﾀ0060 ｧ07 050603 罍ｧ ｧ. 05 ｯ 7 ｭ6 7 縺07ｨC0ｷ30ｷ3 0ｷ3 0 ｧ06 0 ﾀ0503070060503 08 ｮ0303 縺0 ｧ09 09 03 ﾀ06006 ﾀ05040006003 04 ﾀ0407 ｧ ﾀ 00030503- ｧ ﾀ000600030 ｧ 070409 0 ｧ, 0403 ﾀ050604 ｧ0400 ｧ0 ｧ 04 0 00 陦縺06 ﾀ 0305 0 05060 05 ｧ- 06 ﾀ09 ｧ08 09 0706 陦, 03 ｧ0300 ｧ03050609, ﾀ0506 閨060050304 ｧ 04 縺060403 04 0506000608 00 ｧ 00308 040506 0304 703 ﾀ ﾀ ｧ ｧ. 6 5 ﾀ0407 ｧ ﾀ 05060, 0503 040503, 6 5 ﾀ ｧ00 ｧ07 7 04000304 ｧ 03 ｧ003 罍ﾀ09030503, 060403, 04003 060706 00605 ﾀ 0 0 ｧ, 縺06 0909 ｧ07 04 縺06 閨060004003 0306 縺0607003 0305006 ﾀ00 ﾀ04 09 050609 ﾀ0506, 03 ﾀ06006 ﾀ0504 ｧ04 00 ｧ0004 003040308 0 0303, 0406 罍ﾀ050906 ｧ 030703 縺000060 ｧ06, 006 04003 ﾀ07 04 罍ｧ 0505030 0 ｧ09 09 ｧ08 ﾀ06006 ﾀ050406000308 ｧ 0060060 ｧ08 04 050609 ﾀ05, 09 縺03006 ｧ ﾀ04 0400060 ｧ08 006 06000308 030406 050309. 0303 ﾀ ｧ05 060 ﾀ0403 ｧ0 04 罍ｧ07050030 閨030005030 0403 罍ｧ0504 0030403006 040309030006-0 ｧ06 06 0 ｧ08 ﾀ07 05050305 00 ｧ 縺030903 ｧ 0406 ﾀ0500308 04 0 05060 05 ｧ 06 ﾀ09030 0303 03-04 0 ｧ ｧ 08 ｮ0303 縺0 ｧ0909, 05060 0303000606, 0503 060503 04 縺06 閨03 閨0600606 ｧ 0 ｧ06 03030003 04 987 05.

30600 04 繖 7 縺6ｧ80ｷ3 ｯ0ｷ3 ｪ ｭ ｮ07 縺00 06 ｭ0503 ｭ ｯ 70ｷ300 7 76ｧ805 ｮ0705 ｮ ｯ0ｷ3 x. 070303 罍陦ｧ0 0503 0503 09 ｧ 0 04 縺0700308 ｧ 0 040003 ﾀ0903 ﾀ05 ｧ. 7 ﾀ ﾀ0503070 ｧ06 00607 閨06 閨0406007 0503 09 0 ｧ. 7 ﾀ ﾀ0503070 ｧ06 d 00607 閨06 0503 09 0 ｧ A(x ) ｧ B(x ) 0 03 ﾀ ｧ: d = jx, x j = (x, x ) : () : 6 50600 ｧ ｧ0 AB ( 00050603 ｧ 06 ﾀ09 07) 0 04 04000600030503 0305 縺06 09 0 03 ﾀ ｧ: AB = x, x : () 3. 7 ﾀ ﾀ0503070 ｧ06 d 00607 閨060503 09 0 ｧ A(x ; y ) ｧ B(x ; y ) 0 040003 ﾀ- 0903 ﾀ05 ｧ: d = (x, x ) +(y, y ) : (3) 4. 7 03 06 09 09 ｧ ｧ 0 03 ﾀ ｧ 090303 罍陦ｧ0 05 0 04 04000600030503 0305 縺06 09, ｧ00 ｧ 040609-0503,! AB 0 040003 ﾀ0903 ﾀ05 ｧ ﾀ0 00030 A(x ; y ) ｧ 0903009030 B(x ; y ): 04 x,! AB = X = x, x ; 04 y,! AB = Y = y, y : (4). 703 ﾀ05 縺03 ｧ0504 0 ｧ ﾀ0003040308 03 ﾀ ｧ 0503 09 ｧ A(,5), B(+4) ｧ C(,) ｧ 0 0805 ｧ 040600 ｧ ｧ003 AB, BC ｧ AC 0305 縺06 090304 0 03 ﾀ ｧ. 7 縺030406 罍ｧ0504, 0503 AB + BC = AC.. 6 5030403000 ｧ0504 04 縺06 閨03 閨0600606 0604 070060 ｧ06 閨0007 0503 0609 A(+), B(,4) ｧ C(+5). 3. 703 ﾀ05 縺03 ｧ0504 05 縺0606050300040 ｧ09 ﾀ 0406 縺00 ｧ0 0 ｧ A(,4; ), B(0;,) ｧ C(3; 3) ｧ 0304 縺06 閨0600 ｧ0504 060503 0406 罍ｧ00605 ｧ 06050003. 4. 6 70309 0504, 0503 05 縺0606050300040 ｧ09 ﾀ 0406 縺00 ｧ0 0 ｧ A(,3;,), B(0;,) ｧ C(,; 5) 04 縺07003060503000400308. 5. 703 ﾀ05 縺03 ｧ0504 0503 09 ｧ A(,4; 0), B(,; 4) ｧ0503 09 ｧ A, B, ﾀ ｧ0-00605 罍ｧ 00306 00030 0305003 ﾀ ｧ05060004003 03 ﾀ ｧ Oy. 6 503 ｧ ﾀ00 ｧ0504 0406 罍ｧ00605 05 040609 ｧ ｧ ABB A. 6. ｯ03 09 B ﾀ ｧ000605 罍ｧ 0 A(4;,) 0305003 ﾀ ｧ05060004003 03 ｧ ﾀ ﾀ060905 罍ｧ ﾀ03 0406 縺04030503 090303 罍陦ｧ0 050030503 060500. 7 0805 ｧ 閨00 ｧ006 AB.

30 0600.. 縺0 00 ｧ05 ｧ 06 ﾀ09 07 05060300605 罍ｧ07 0 040003 ﾀ0903 ﾀ05 ｧ 7. 7 0805 ｧ 0503 0906, 06 0006000606 0 5 06 陦ｧ0 ｧ09 09 09 0305 0503 09 ｧ A(; ), 05 09 ｧ 0305 03 ﾀ ｧOy. 8. 7 03 ﾀ ｧ 03 罍陦ｧ0 05 0 0805 ｧ0503 0906, 06 000600060603050503 09 ｧ A(4;,) 0 5 06 陦ｧ0 ｧ09. 70307 ﾀ0 ｧ0504 0403 ﾀ05 縺03060 ｧ060, 0403 06006 04030006 0605 ﾀ07 閨04 縺0600060 ｧ07. 9. 7 03 ﾀ ｧ 03 ﾀ09 ｧ ﾀ ﾀ 0 0805 ｧ 0503 0906, 06 0006000606 03050503 09 ｧ A(a; b) 0 c 06 陦ｧ0 ｧ09. 0ｷ3 ﾀ ﾀ0006 閨0304 0504 縺0600060 ｧ06 04 罍ｧ c>jbj, c = jbj ｧ c<jbj. 0. 7 03 ﾀ ｧ Ox 0 0805 ｧ 0503 0906, 03 陦ｧ0 09030403 06 0006000606 03050 00 090303 罍陦ｧ0 05 ｧ 0305 0503 09 ｧ A(8; 4).. 7 0805 ｧ 0906005 ｧ 陦ｧ06 ﾀ 09 縺0605, 0304 ｧ ﾀ 00030503 0309030003 05 縺060605030004-0 ｧ09 ﾀ 0406 縺00 ｧ0 0 ｧ A(4; 3), B(,3; ) ｧ C(;,6).. 6 7 003 0503 09 ｧ A(; 6) ｧ B(0; ); 0403 ﾀ05 縺03 ｧ0504 0406090503,! AB, 060503,!,! 09030040300600503 0 03 ﾀ0708 ｧ 0403 ｧ ﾀ00 ｧ0504 04 x AB, 04 繦 AB ｧ 閨00 ｧ006 AB. 3. 6 5 0503 0906 A(; 5) 04 罍ｧ000307060 ﾀ ｧ00, 04 縺03060909 ｧ ｧ 09030503 縺0308 0 03 ﾀ ｧ 090303 罍陦ｧ0 05 04003: X =3 ｧ Y =3. 0504 縺06 閨0600 ｧ0504 090300609 0406090503,! AB, ｧ 0303 07 060060503 ﾀ ｧ0006, ｧ 040600 ｧ ｧ006 ﾀ ｧ0003. 4. 6 5 0503 0906 A(,3;,) 04 罍ｧ000307060 ﾀ ｧ00, 04 縺03060909 ｧ07 09030503 縺0308 Y = =,, 04 縺03060909 ｧ07 X 0403000307 ｧ050600040. 0504 縺06 閨0600 ｧ0504 090300609 0406090503,! AB, ｧ 0303 07 060060503 ﾀ ｧ0006, 06 ﾀ00 ｧ 0606 040600 ｧ ｧ0 040 5. 5 ). 7 ｧ ﾀ0003040308 03 ﾀ ｧ 0403 ﾀ05 縺03 ｧ0504 0503 09 ｧ A(), B(,3) ｧ C(,) ｧ 0 0805 ｧ 040600 ｧ ｧ003 AB, BC ｧ CA 0305 縺06 090304 0 03 ﾀ ｧ. 7 縺030406 罍ｧ0504, 0503 AB + BC + CA =0. 6. 7 040003 ﾀ0903 ﾀ05 ｧ 0403 ﾀ05 縺03 ｧ0504 0503 09 ｧ A(,7; 0) ｧ B(0; ) ｧ0503 09 ｧ A ｧ B, ﾀ ｧ000605 罍ｧ 00306 0503 09 0 A ｧ B 0305003 ﾀ ｧ05060004003 03 ｧ ﾀ ﾀ060905 罍ｧ ﾀ03 0406 縺04030503 ｧ 05 縺060504060503 090303 罍陦ｧ0 0500308 0605000304. 6 503 ｧ ﾀ00 ｧ0504 0406 罍ｧ00605 05-040609 ｧ ｧ ABB A. 7. 7 03 ﾀ ｧ 03 罍陦ｧ0 05 0 0805 ｧ 0503 0906, 03 陦ｧ0 09030403 06 0006000606 0305 0-00 090303 罍陦ｧ0 05 ｧ 0305 0503 09 ｧ A(,; 5). 8. 7 03 ﾀ ｧ 03 ﾀ09 ｧ ﾀ ﾀ 0 0805 ｧ 0503 0906, 06 0006000606 03050503 09 ｧ A(,; 3) 0 3 5 06 陦ｧ0 ｧ09. 9. 0504 縺06 閨0600 ｧ0504 0906005 ｧ 陦ｧ06 ﾀ 09 縺0605, 0304 ｧ ﾀ 00030503 0309030003 05 縺06-06050300040 ｧ09 ﾀ 0406 縺00 ｧ0 0 ｧ A(,3;,), B(5; 3) ｧ C(6;,4). 0. 6 7 003 0503 09 ｧ A(x ; y ) ｧ B(x ; y ).6 50 0006 090303 罍陦ｧ0 05 04 罍ｧ- 00030706003 ﾀ ｧ0003, ｧ 0303 07 0600306 0406090503 0 ｧ,! OA ｧ,! OB. 703 ﾀ05 縺03 ｧ0504 ｧ08 04003 閨0608 ﾀ0504060600606,! OC ｧ 閨0309 0504, 0503 04 縺03060909 ｧ07 04003 閨0608 ﾀ05040606-00608 0 090303 罍陦ｧ0 0500606 03 ﾀ04 040 ﾀ060006 04 縺03060909 ｧ08 ﾀ03 ﾀ05 040007060 ｧ08 0 0506 0706 03 ﾀ04.. 6 7 003 0503 09 ｧ A(; ), B(3; 5), C(5; ) ｧ D(;,). 6 5 0503 0906 A 04 罍ｧ00030706003 ﾀ ｧ0003,! AB,,! AC ｧ,! AD. 7 0805 ｧ 04 縺03060909 ｧ ｧ 0 03 ﾀ ｧ 090303 - 陦ｧ0 05 04003 閨0608 ﾀ0504060600608 ﾀ ｧ0003 ｧ 0606 040600 ｧ ｧ006. )6 509 07 閨030 04 05 0706 0403 ﾀ0006 06 縺0503 04 罍ｧ0406 閨06003 ｧ, 09030503 縺0306 縺0609030060 閨06-0605 ﾀ07 閨0007 0 ｧ07 0 閨030 ｧ00 ｧ 閨0007 0403040503 縺060 ｧ08.

3x. 6 70600060 ｧ06 0305 縺06 09 04 00030 030500300060 ｧ ｧ x. 6 70600060 ｧ06 0305 縺06 09 04 00030 030500300060 ｧ ｧ. 700030 閨04 05 縺0606050300040 ｧ09 ｧ 0003050306050300040 ｧ09. 6 70600060 ｧ06 0305 縺06 09 04 00030 030500300060 ｧ ｧ. 6 7 003 0503 09 ｧ A(x ; y ) ｧ B(x ; y ). 070303 罍陦ｧ0 0503 0503 09 ｧ M (x; y), 閨06000700608 0305 縺06 0309 AB 04030500300060 ｧ ｧ AM : MB =, 0304 縺06 閨0600070605 ﾀ07 0403 0703 縺00600 0: x = x + x + ; y = y + y + : () 6 5 ﾀ05003 ﾀ05 ｧ, 04 罍ｧ 閨0600060 ｧ ｧ 0403040300 0, 05. 06. 04 030500300060 ｧ ｧ =:=, x = x + x ; y = y + y : (). 700030 閨04 0003050306050300040 ｧ09 ﾀ 0406 縺00 ｧ0 0 ｧ A(x ; y ), B(x ; y ), C(x 3 ; y 3 ), :::, F (x n ; y n ) 040 S = h i x y x x y + y x x 3 y + :::+ n y n 3 x y : (3) 6 503 07060 ｧ06 04 ｧ x y x y 04003 x y, x y ｧ0 0304 0605 ﾀ07 0304 縺06 閨0600 ｧ- 050600060 040503 縺030503 0403 縺07 閨09 ).. 703 ﾀ05 縺03 ｧ05040503 09 ｧ A(,; ) ｧ B(3; 6) ｧ 0 0805 ｧ0503 0906 M (x; y), 閨06000700606 AB 04030500300060 ｧ ｧ AM : MB =3:. 3. 6 7 003 0503 09 ｧ A(,; ) ｧ B(3; 6). 7 閨0600 ｧ0504 0305 縺06 0309 AB 04 030500300060 ｧ ｧ AM : MB =,3 :. 4. 6 50503 09 08 A(x ) ｧ B(x ) 03 ﾀ ｧ Ox 0403006006003 0 ﾀ ﾀ03 m ｧ m. 7 0805 ｧ 0906005 0 ﾀ ﾀ 05050308 ﾀ ｧ ﾀ0506003. 5. 6 50503 09 08 A(x ), B(x ) ｧ C(x 3 ) 03 ﾀ ｧ Ox 0403006006003 ﾀ030305-040605 ﾀ0504060003 0 ﾀ ﾀ03 m, m ｧ m 3. 70309 0504, 0503 0906005 0 ﾀ ﾀ 05050308 ﾀ ｧ ﾀ0506003 0306 閨0605 040503 0906 x = m x + m x + m 3 x 3 m + m + m 3. 6. 7 090300903 03 閨003 縺03 閨0030503 ﾀ0506 縺07007 閨00 ｧ00308 40 ﾀ0 ｧ 0 ﾀ ﾀ0308 500 05 0 ﾀ 0706003 00 縺03 0 ﾀ ﾀ0308 00 05 ｧ 400 05. 0504 縺06 閨0600 ｧ0504 0906005 0 ﾀ ﾀ 05050308 ﾀ ｧ ﾀ0506003. 7. 6 50503 09 08 A(,; 4), B(3;,) ｧ C(; 3) 0403006006003 ﾀ030305040605- ﾀ0504060003 0 ﾀ ﾀ03 60 05, 40 05 ｧ 00 05. 0504 縺06 閨0600 ｧ0504 0906005 0 ﾀ ﾀ 05050308 ﾀ ｧ- ﾀ0506003. 8. 0504 縺06 閨0600 ｧ0504 ﾀ06 縺06 陦ｧ003 ﾀ0503 縺030 05 縺0606050300040 ｧ09 ﾀ 0406 縺00 ｧ0 0 ｧ A(;,), B(4; 3) ｧ C(,; ). 9. 6 5 05 縺0606050300040 ｧ0906 ﾀ 0406 縺00 ｧ0 0 ｧ O(0; 0), A(8; 0) ｧ B(0; 6) 0304 縺06 閨0600 ｧ0504 閨00 ｧ006 006 陦ｧ 003 OC ｧ 03 ｧ ﾀ ﾀ060905 罍ｧ ﾀ03 OD. ) 0503 0304 縺06 閨0600 ｧ0506000708 0403 陦縺0303003 ｧ 00030706003 04 0500. 4, x.

3 0600.. 縺0 00 ｧ05 ｧ 06 ﾀ09 07 05060300605 罍ｧ07 0 040003 ﾀ0903 ﾀ05 ｧ 30. 7 0805 ｧ 0906005 0 ﾀ ﾀ 05 縺0606050300040 ｧ09 ﾀ 0406 縺00 ｧ0 0 ｧ A(;,), B(6; 4) ｧ C(; 6). ｰ09 0 ｧ06. ｨC06005 0 ﾀ ﾀ 05 縺0606050300040 ｧ09 0 0803 陦ｧ05 ﾀ07 04 0503 0906 0406 縺06 ﾀ06 06-0 ｧ07 060503 006 陦ｧ 0. 3. 6 503 ｧ ﾀ00 ｧ0504 0400030 閨04 05 縺0606050300040 ｧ09 ﾀ 0406 縺00 ｧ0 0 ｧ A(; 0), B(5; 3) ｧ C(; 6). 3. 70309 0504, 0503 0503 09 ｧ A(; ), B(,; 7) ｧ C(0; 4) 000607 05 0 03 閨00308 04 縺0700308. 33. 6 503 ｧ ﾀ00 ｧ0504 0400030 閨04 060503 縺060806050300040 ｧ09 ﾀ 0406 縺00 ｧ0 0 ｧ A(3; ), B(4; 6), C(6; 3) ｧ D(5;,). 34. 6 50503 09 08 A(,3;,) ｧ B(4; 6) 04 罍ｧ00030706003 04 000006000400306 ﾀ ｧ0003, ﾀ030305040605 ﾀ0504060003 0400306 30 7 ｧ 40 7. 7 0305 縺06 0906 AB 0 0805 ｧ 0503 0906 04 罍ｧ000307060 ｧ07 04003 閨0608 ﾀ0504060600608. 35. 6 50503 09 08 O(0; 0), A(;,5) ｧ B(4; ) 0403006006003 ﾀ030305040605 ﾀ05-04060003 0 ﾀ ﾀ03 500 05, 00 05 ｧ 00 05. 0504 縺06 閨0600 ｧ0504 0906005 0 ﾀ ﾀ 05050308 ﾀ ｧ- ﾀ0506003. 36. 6 505 縺0606050300040 ｧ0906 ﾀ 0406 縺00 ｧ0 0 ｧ A(,; 0), B(6; 6) ｧ C(;,4) 0304 縺06 閨0600 ｧ0504 閨00 ｧ006 03 ｧ ﾀ ﾀ060905 罍ｧ ﾀ03 AE. 37. 7 0805 ｧ 0906005 0 ﾀ ﾀ 05 縺0606050300040 ｧ09 ﾀ 0406 縺00 ｧ0 0 ｧ A(x ; y ), B(x ; y ) ｧ C(x 3 ; y 3 ). 38. 7 0805 ｧ 0906005 0 ﾀ ﾀ 060503 縺0608060503000400308 03 閨003 縺03 閨00308 閨03 ﾀ09 ｧ ﾀ 0406-00 ｧ0 0 ｧ A(,; ), B(3; 6), C(5; ) ｧ D(0;,6). ｰ09 0 ｧ06. 703 0703 縺00600 0, 04030006 0600030 04 06 37, 0 0805 ｧ 0906005 縺03 0 ﾀ ﾀ 05 縺0606050300040 ｧ090304 ABC ｧ ADC ｧ 閨0600 ｧ0504 ﾀ ﾀ0503070 ｧ06 00607 閨06 0 ｧ0 ｧ 04 030500300060 ｧ ｧ, 0303 050030 030500300060 ｧ06 0400030 閨0608 05 縺0606050300040 ｧ090304. 39. 6 7 003 0503 09 ｧ A(; ) ｧ B(4; 4). 7 03 ﾀ ｧOx 0304 縺06 閨0600 ｧ0504 0503 0906 C 05 09, 05030303 0400030 閨04 4ABC 030300 040 5, ｧ 0403 ﾀ05 縺03 ｧ0504 4ABC. 40. 6 505 縺0606050300040 ｧ0906 ﾀ 0406 縺00 ｧ0 0 ｧ A(,; ), B(;,4) ｧ C(4; 5) 09 07 07 ﾀ0503 縺030 04 縺03 閨030007060 04 0 04 0400060 ｧ ｧ 03030803 0406 罍ｧ00605 04 縺03-05 ｧ04 ﾀ03040308 ﾀ05 縺060009 ｧ 0 03 閨006 05 縺060504 ﾀ04030608 閨00 ｧ003. 0504 縺06 閨0600 ｧ0504 090300903 M, N ｧ P 04 縺03 閨030007060 ｧ08 ﾀ0503 縺030 ｧ 0 0805 ｧ 030500300060 ｧ06 k 040003-0 陦ｧ 4MNP 09 0400030 陦ｧ 4ABC. x 3. ｰ 040060 ｧ06 00 ｧ0 ｧ ｧ 09 09 05060300605 罍ｧ 06 ﾀ09030503 006 ﾀ05 0503 0609 ｰ 040060 ｧ060 00 ｧ0 ｧ ｧ 0 0304 0605 ﾀ07 06 040060 ｧ06 ﾀ 0406 縺0600600030 ｧ x ｧ y; 09030503 縺03006 06 閨03040006050403 縺070605 090303 罍陦ｧ0 0503 0006030308 0503 09 ｧ 05050308 00 ｧ0 ｧ ｧ ｧ 050300040903 030 ｧ. 6 50803 閨070 ｧ06 04 06 040060 ｧ06 00 ｧ0 ｧ ｧ 0406 縺06006000306 x ｧ y 0 0304 0605 ﾀ07 05060906-0 ｧ0 ｧ 090303 罍陦ｧ0 05 0 ｧ, 0306090406000306 0403 ﾀ050307000306 04 00605 0 ｧ. 7-04 罍ｧ006, 04 06 040060 ｧ ｧ 0309 縺0607003 ﾀ05 ｧ ( 4) x + y = R 0406 縺06006000306 x ｧ y 050609060 ｧ06 090303 罍陦ｧ0 0503, 0403 ﾀ05030700 07 R 04 00605. ｪ05030303 ﾀ03 ﾀ05 04 ｧ0504 06 040060 ｧ06 00 ｧ0 ｧ ｧ 09 09 05060300605 罍ｧ 06 ﾀ09030503 006 ﾀ05 0503 0609, 030300 060 ｧ08 03 陦ｧ0 090304030 ﾀ040308 ﾀ0504030, 00607003:

3x 3. ｰ 040060 ｧ06 00 ｧ0 ｧ ｧ 09 09 05060300605 罍ｧ 06 ﾀ09030503 006 ﾀ05 0503 0609 3 ) 04 070504 04 縺03 ｧ 0403000400606 (0506090600606) 0503 0906 M (x; y) 00 ｧ0 ｧ ｧ; ) 04 ｧ ﾀ 0504 04060 ﾀ0504030 030300606 ﾀ040308 ﾀ050403 04 ﾀ0608 0503 0609 M 00 ｧ0 ｧ ｧ; 3) 040803 閨070 ｧ06 04 050503 04060 ﾀ050403 0305 縺06 09 ｧ ( ｧ 06050003) 0403 ｧ0504 06 縺06 05060906-0 ｧ06 090303 罍陦ｧ0 0503 0503 09 ｧ M (x; y) ｧ 06 縺06 000306 04 06. 4. 70309 0504, 0503 06 040060 ｧ060 0309 縺0607003 ﾀ05 ｧ ﾀ 陦ｧ06 ﾀ030 R ｧ ﾀ 0906005 縺030 04 0 0006 090303 罍陦ｧ0 05 0306 閨0605 x + y = R. 4. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 0309 縺0607003 ﾀ05 ｧ ﾀ 0906005 縺030 C(3; 4) ｧ 陦ｧ06- ﾀ030 R =5.6ｧ80607 05 00 ｧ 0 05050308 0309 縺0607003 ﾀ05 ｧ 0503 09 ｧ A(,; ), B(; 3), O(0; 0) ｧ D(4; )? 43. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 00 ｧ0 ｧ ｧ, 0403 09030503 縺0308 閨04 ｧ070605 ﾀ07 0503 09 M (x; y), 0400306 000600 07 0305 0503 0609 A(0; ) ｧ B(4;,). 6ｧ80607 05 00 ｧ 0 05050308 00 ｧ0 ｧ ｧ 0503 09 ｧ C(,; ), D(;,), E(0;,) ｧ F (; )? 44. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 05 06090503 罍ｧ ｧ 0503 09 ｧ M (x; y), 09030503 07 04 罍ｧ ﾀ0403060 閨04 ｧ07060 ｧ ｧ 03 ﾀ05 0605 ﾀ07 0405 縺0306 00040006 0305 0503 09 ｧ A(0; 9), 060 0305 0503 09 ｧ B(0; ). 45. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 05 06090503 罍ｧ ｧ 0503 09 ｧ M (x; y), 09030503 07 04 罍ｧ ﾀ0403060 閨04 ｧ07060 ｧ ｧ 03 ﾀ05 0605 ﾀ07 04 閨040306 0300 ｧ0706 09 0503 0906 A(,; ), 060 090503 0906 B(,4; 4). 46. 7 04 ｧ ﾀ 0504 06 040060 ｧ07 03 ｧ ﾀ ﾀ060905 罍ｧ ﾀ 090303 罍陦ｧ0 0500308 0605000304. 47. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 05060300605 罍ｧ 06 ﾀ09030503 006 ﾀ05 0503 0609, ﾀ0600 ﾀ ﾀ0503070 ｧ08 0305 09 07 閨0308 ｧ 09030503 縺0308 閨03 0503 0609 F (; 0) ｧ F (,; 0) 040 5. 703 ﾀ05 縺03 ｧ0504 00 ｧ0 ｧ06 0403 0606 06 040060 ｧ06. 48. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 05060300605 罍ｧ 06 ﾀ09030503 006 ﾀ05 0503 0609, 04003-06 0006000308 0305 0503 09 ｧ F (; ) ｧ030503 ﾀ ｧOx. 703 ﾀ05 縺03 ｧ0504 00 ｧ0 ｧ06 0403 0606 06 040060 ｧ06. 49. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 00 ｧ0 ｧ ｧ, 0403 09030503 縺0308 閨04 ｧ070605 ﾀ07 0503 09 M (x; y), 03 ﾀ05 04 07 ﾀ04 04 閨040306 00040006 0305 03 ﾀ ｧOx, 060 0305 03 ﾀ ｧOy. 50. 703 ﾀ05 縺03 ｧ0504 00 ｧ0 ｧ ｧ: ) y =x +5;)y =7, x; 3)y =x; 4) y =4;5)y =4, x. 5. 0504 縺06 閨0600 ｧ0504 0503 09 ｧ 0406 縺06 ﾀ06 060 ｧ07 00 ｧ0 ｧ ｧ y = x, 4x +3 ﾀ 03 ﾀ070 ｧ 090303 罍陦ｧ0 05 ｧ 0403 ﾀ05 縺03 ｧ0504 0606. 5. 0504 縺06 閨0600 ｧ0504 0503 09 ｧ 0406 縺06 ﾀ06 060 ｧ07 ﾀ 03 ﾀ070 ｧ 090303 罍陦ｧ0 05 00 ｧ0 ｧ08: ) 3x, y =;)y = x +4x; 3)y =x +4. 703 ﾀ05 縺03 ｧ0504 0505 ｧ 00 ｧ0 ｧ ｧ. 53. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 05060300605 罍ｧ 06 ﾀ09030503 006 ﾀ05 0503 0609, 04003-06 0006000308 0305 03 ﾀ ｧOy ｧ03050503 09 ｧ F (4; 0), ｧ 0403 ﾀ05 縺03 ｧ0504 00 ｧ0 ｧ06 0403 0606 06 040060 ｧ06. 54. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 00 ｧ0 ｧ ｧ, 0403 09030503 縺0308 閨04 ｧ070605 ﾀ07 0503 09 M (x; y), 0400306 000600 07 03050 00 090303 罍陦ｧ0 05 ｧ 03050503 09 ｧ A(,4; ). 6ｧ80607 05 00 ｧ 0 05050308 00 ｧ0 ｧ ｧ 0503 09 ｧ B(,; ), C(; 3), D(; 7)?

34 0600.. 縺0 00 ｧ05 ｧ 06 ﾀ09 07 05060300605 罍ｧ07 0 040003 ﾀ0903 ﾀ05 ｧ 55. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 05 06090503 罍ｧ ｧ 0503 09 ｧ M (x; y), 09030503 07 04 罍ｧ ﾀ0403060 閨04 ｧ07060 ｧ ｧ 03 ﾀ05 0605 ﾀ07 04 閨040306 0300 ｧ0706 09 0503 0906 A(0;,), 060 090503 0906 B(0; 4). 703 ﾀ05 縺03 ｧ0504 05 06090503 罍ｧ06 閨04 ｧ07060 ｧ07. 56. 0504 縺06 閨0600 ｧ0504 0503 09 ｧ 0406 縺06 ﾀ06 060 ｧ07 ﾀ 03 ﾀ070 ｧ 090303 罍陦ｧ0 05 00 ｧ0 ｧ08: ) x +5y +0=0;)y =3, x, x ;3)y =4, x. 703 ﾀ05 縺03 ｧ0504 00 ｧ0 ｧ ｧ. 57. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 05060300605 罍ｧ 06 ﾀ09030503 006 ﾀ05 0503 0609, 04003-06 0006000308 0305 03 ﾀ ｧOx ｧ03050503 09 ｧ F (0; ), ｧ 0403 ﾀ05 縺03 ｧ0504 00 ｧ0 ｧ06 0403 0606 06 040060 ｧ06. 58. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 05060300605 罍ｧ 06 ﾀ09030503 006 ﾀ05 0503 0609, 003 ﾀ0504 ﾀ ﾀ0503070 ｧ08 0305 09 07 閨0308 ｧ 09030503 縺0308 閨03 0503 0609 F (,;,) ｧ F (; ) 040 4. 703 ﾀ05 縺03 ｧ0504 00 ｧ0 ｧ06 0403 0606 06 040060 ｧ06. x 4. ｰ 040060 ｧ06 04 縺0700308: ) ﾀ 0605000304030 0903050707 ｧ09 ｧ06005030, ) 030300606, 3) 04 0305 縺06 09 08 0 03 ﾀ0708. ｰ 040060 ｧ06 04 縺0700308 ﾀ 0605000304030 0903050707 ｧ09 ｧ06005030 y = kx + b: () 7 00605 k 04060 05 005060 ﾀ06 060500 0 0900030 04 縺0700308 09 03 ﾀ ｧ Ox (k = = tg ) ｧ0 0304 0605 ﾀ07 0605000304030 0903050707 ｧ09 ｧ06005030, ｧ00 ｧ ｧ00305 0 0900030030 04 縺0700308. 7 00605 b 040600 ｧ ｧ0 0305 縺06 09 0 03 ﾀ ｧOy, ｧ00 ｧ 0 00040 07 03 罍陦ｧ0 05.. 050300606 06 040060 ｧ06 04 縺0700308 Ax + By + C =0: () 05 ﾀ03030306 ﾀ0006 ｧ: ) 04 罍ｧ C =0 y =, A x 04 縺070 07 04 縺030803 陦ｧ05 06 縺06 0 0003 090303 罍陦ｧ0 05; B 03) 04 罍ｧ B =0 x =, C A = a 04 縺070 07 04 00000600040 03 ﾀ ｧ Oy; 04) 04 罍ｧ A =0 y =, C = b 04 縺070 07 04 00000600040 03 ﾀ ｧ Ox; B 05) 04 罍ｧ B = C =0 Ax =0, x =0 03 ﾀ04Oy; ) 04 罍ｧ A = C =0 By =0, y =0 03 ﾀ04Ox. 3. ｰ 040060 ｧ06 04 縺0700308 04 0305 縺06 09 08 0 03 ﾀ0708 x a + y =; (3) b 05 閨06 a ｧ b 040600 ｧ ｧ003 0305 縺06 090304, 0305 ﾀ0609 0600308 04 縺0700308 0 03 ﾀ0708 090303 罍陦ｧ0 05. 59. 703 ﾀ05 縺03 ｧ0504 04 縺0700606, 0305 ﾀ0609 0600606 0 03 ﾀ ｧOy 0305 縺06 0309 b = =3 ｧ ﾀ03 ﾀ05 0400070600606 ﾀ03 ﾀ0406 Ox 06050300: ) 45 ;)35. 7 04 ｧ ﾀ 0504 06 040060 ｧ07 0505 ｧ08 04 縺0700308. 60. 703 ﾀ05 縺03 ｧ0504 04 縺0700606, 0305 ﾀ0609 0600606 0 03 ﾀ ｧOy 0305 縺06 0309 b = =, 3 ｧ ﾀ03 ﾀ05 0400070600606 ﾀ03 ﾀ0406 Ox 06050300: ) 60 ;)0. 7 04 ｧ ﾀ 0504 06 040060 ｧ07 0505 ｧ08 04 縺0700308.

3x 4. ｰ 040060 ｧ06 04 縺0700308 5 6. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 04 縺0700308, 04 縺030803 閨0700608 06 縺06 0 0003 0903-03 罍陦ｧ0 05 ｧ ﾀ03 ﾀ05 0400070600608 ﾀ 03 ﾀ0406 Ox 06050300: ) 45 ;)60 ;3)90 ; 4) 0 ;5)35. 6. 703 ﾀ05 縺03 ｧ0504 04 縺0700606, 04 縺030803 閨0700606 06 縺06 0 0003 090303 罍陦ｧ0 05 ｧ 06 縺06 0503 0906 (,; 3), ｧ 0 04 ｧ ﾀ 0504 060606 040060 ｧ06. 63. 0504 縺06 閨0600 ｧ0504 04 00605 縺03 k ｧ b 閨0007 09 07 閨0308 ｧ 04 縺0700308: ) x, 3y =6; ) x +3y =0; 3) y =,3; 4) x 4 + y 3 =. 64. 703 ﾀ05 縺03 ｧ0504 04 縺0700306: ) 3x +4y =; ) 3x, 4y =0; 3) x, 5=0; 4) y +5=0. 65. 0504 縺06 閨0600 ｧ0504 04 00605 縺03 k ｧ b 04 縺0700308, 04 縺030803 閨0700608 06 縺06 0503 0906 A(; 3) ｧ ﾀ03 ﾀ05 0400070600608 ﾀ Ox 06050300 45. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 05050308 04 縺0700308. 66. ｰ 040060 ｧ07 04 縺0700308: ) x, 3y = 6;) 3x, y +4 = 0 04 罍ｧ0406 ﾀ05 ｧ 09 04 ｧ 閨06 04 0305 縺06 09 08 0 03 ﾀ0708. 67. 6 7 003 0503 09 ｧ O(0; 0) ｧ A(,3; 0). 7 0305 縺06 0906 OA 0403 ﾀ05 縺03060 04 000006000305 00, 陦ｧ 05030 00 ｧ 09030503 縺030503 0406 縺06 ﾀ0609 0605 ﾀ07 04 0503 0906 B(0; ). 7 04 ｧ ﾀ 0504 06 040060 ｧ07 ﾀ0503 縺030 ｧ 陦ｧ 05030 000608 04 000006000305 00. 68. 7 04 ｧ ﾀ 050406 040060 ｧ06 04 縺0700308, 04 縺030803 閨0700608 06 縺06 0503 0906 A(4; 3) ｧ 0305 ﾀ0609 0600608 0305 090303 罍陦ｧ0 050030503 060500 05 縺0606050300040 ｧ09 0400030 閨0406, 04-00308 3. 69. 7 縺0700306 y =, ｧ y =40406 縺06 ﾀ0609 0605 04 縺0700606 3x, 4y, 5=0 ﾀ030305040605 ﾀ0504060003 04 0503 09 08 A ｧ B. 703 ﾀ05 縺03 ｧ0504 0406090503,! AB, 0304 縺06 閨0600 ｧ0504 060503 閨00 ｧ006 ｧ 060503 04 縺03060909 ｧ ｧ 0 03 ﾀ ｧ 090303 罍陦ｧ0 05. 70. 6ｧ80607 05 00 ｧ 0503 09 ｧ A(3; 5), B(; 7), C(,;,3) ｧ D(,;,6) 0 04 縺0700308 y =x, ｧ00 ｧ 0706 030 ｧ 080403000609 ｧ00 ｧ 080 ｧ070609 05050308 04 縺0700308? 7. 07 090304 05060300605 罍ｧ 06 ﾀ09 ｧ08 ﾀ003 ﾀ00 006 04060 ﾀ0504: ) y>3x +;)y<3x +;3)x + y, 4 > 0; 4)x + y, 4 < 0? 7. 703 ﾀ05 縺03 ｧ0504 030300 ﾀ05 ｧ ), 090303 罍陦ｧ0 0503 0503 0609 09030503 縺0308 06 閨03040006-050403 縺070605 006 04060 ﾀ0504 0: ) y<, x; x>,; y>,; ) y>, x; x<4; y<0; 3) x 4 + y 6 ; y > x +; x >,4: 73. ｯ03 09 M (x; y) 閨04 ｧ070605 ﾀ07 05 09, 0503 003 ﾀ0504 0904 陦 050304 ﾀ- ﾀ0503070 ｧ08 0305 00606 閨03 0503 0609 A(,a; a) ｧ B(a;,a) 03 ﾀ05 0605 ﾀ07 0400308 4a. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 0606 05 06090503 罍ｧ ｧ. ) ｮ00030403 08030300 ﾀ050409 閨06 ﾀ04 03 0 0605 ﾀ0504 040003 ﾀ0903 ﾀ05 ｧ xoy, 090303 罍陦ｧ0 0503 09 07 閨0308 0503 09 ｧ 09030503 縺0308 06 閨03040006050403 縺070605 00609030503 縺030 06 ﾀ000304 ｧ070 (0 04 罍ｧ006, 006 04060 ﾀ0504 0). 050300 ﾀ0504 0 0304 0605 ﾀ07 009006050308, 06 ﾀ00 ｧ 04 00606 04090006 06003 0503 09 ｧ, 000607 0 ｧ06 0 05-0 ｧ0906 030300 ﾀ05 ｧ. 6 5 04 縺0305 ｧ040030 ﾀ0006 06 030300 ﾀ0504 0 0304 0605 ﾀ07 030509 縺03050308.

36 0600.. 縺0 00 ｧ05 ｧ 06 ﾀ09 07 05060300605 罍ｧ07 0 040003 ﾀ0903 ﾀ05 ｧ 74. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 05 06090503 罍ｧ ｧ 0503 09 ｧ M (x; y), 04 縺03060909 ｧ07 09030503 縺0308 0 03 ﾀ04 Ox 閨04 ｧ070605 ﾀ07 ﾀ03 ﾀ0903 縺03 ﾀ050406 m 06 / ﾀ, 0 03 ﾀ04 Oy ﾀ03 ﾀ0903 縺03 ﾀ050406 n 06 / ﾀ. 7 000400306 0403000307060 ｧ06 0503 09 ｧ M 0 (a; b). 75. 703 ﾀ05 縺03 ｧ0504 04 縺0700306, 000306 04 00605 0 ｧ: ) b =,, ' = =60 ｧ)b =,, ' = 0, ｧ 0 04 ｧ ﾀ 0504 ｧ0806 040060 ｧ07. 76. 0504 縺06 閨0600 ｧ0504 04 00605 縺03 k ｧ b 04 縺0700308, 04 縺030803 閨0700608 06 縺06 0503 0906 (,; 3) ｧ ﾀ03 ﾀ05 0400070600608 ﾀ Ox 06050300 45. 703 ﾀ05 縺03 ｧ0504 04 縺0700606 ｧ 0 04 ｧ ﾀ 0504 060606 040060 ｧ06. 77. 7 040030306 陦縺0600 07 05 040609 ｧ07 ﾀ 03 ﾀ00304 0 ｧ070 ｧ 8 ﾀ0 ｧ ﾀ0 ｧ0060605 03 ﾀ05 縺0308 06050300 45. 7 04 ｧ ﾀ 0504 06 040060 ｧ07 ﾀ0503 縺030 05 040609 ｧ ｧ, 04 罍ｧ00704 03 ﾀ04 Ox 03030004000606 03 ﾀ00304 0 ｧ06 ｧ 03 ﾀ04 Oy 03 ﾀ04 ﾀ ｧ000605 罍ｧ ｧ 05 040609 ｧ ｧ. 78. 7 04 ｧ ﾀ 0504 06 040060 ｧ07 ﾀ0503 縺030 縺03003 ﾀ 陦ｧ 05030 00070 ｧ 0 ﾀ0 ｧ 6 ﾀ0, 04 罍ｧ00704 03030004000606 陦ｧ 05030 0004 03 ﾀ04 Ox ｧ 006004000606 03 ﾀ04 Oy. 79. 7 04 ｧ ﾀ 050406 040060 ｧ06 04 縺0700308, 04 縺030803 閨0700608 06 縺06 0503 0906 (,4; 6) ｧ0305 ﾀ0609 0600608 0305 03 ﾀ0608 090303 罍陦ｧ0 05 05 縺0606050300040 ｧ09 0400030 閨0406 6. 80. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 00 ｧ0 ｧ ｧ, 0403 09030503 縺0308 閨04 ｧ070605 ﾀ07 0503 09 M (x; y),03 ﾀ05 04 07 ﾀ04 04 閨040306 00040006 0305 03 ﾀ ｧOx, 060 0305 04 縺0700308 x =,3. 8. 7 縺0700306 x =, ｧ x =30406 縺06 ﾀ0609 0605 04 縺0700606 y =x +04 0503 09 08 A ｧ B. 0504 縺06 閨0600 ｧ0504 閨00 ｧ006 0406090503,! AB ｧ 060503 04 縺03060909 ｧ ｧ 0 03 ﾀ ｧ 090303 罍陦ｧ0 05. x 5. ｰ050300 00607 閨06 04 縺070030 ｧ. ｰ 040060 ｧ06 0406 09 04 縺0700308, 04 縺030803 閨070 ｧ08 06 縺06 000606 0503 0906. ｰ 040060 ｧ06 04 縺0700308, 04 縺030803 閨0700608 06 縺06 閨0406 000306 0503 09 ｧ. ｯ03 09 0406 縺06 ﾀ06 060 ｧ07 閨040608 04 縺0700308. ｰ050300 ', 0305 ﾀ ｧ05 000308 04 縺0305 ｧ04 ﾀ03040308 ﾀ05 縺060009 ｧ 0305 04 縺0700308 y = = k x + b 閨03 04 縺0700308 y = k x + b, 0304 縺06 閨0600070605 ﾀ07 0703 縺006000308 6 70007 04 縺0700308, 000308 06 040060 ｧ070 ｧ 0703 縺00600 () 04 罍ｧ00605 04 ｧ tg ' = k, k +k k : () A x + B y + C =0 ｧ A x + B y + C =0; tg ' = A B, A B A A + B B : ｰ ﾀ000304 ｧ06 04 0000060004003 ﾀ05 ｧ: k = k ｧ00 ｧ A A = B B. ｰ ﾀ000304 ｧ06 0406 縺04060 陦ｧ09060007 縺003 ﾀ05 ｧ: k =, k ｧ00 ｧ A A + B B =0.

3x 5. ｰ050300 00607 閨06 04 縺070030 ｧ. ｰ 040060 ｧ06 0406 09 04 縺0700308 7. ｰ 040060 ｧ06 0406 09 04 縺0700308,04 縺030803 閨070 ｧ08 06 縺06 0006060503-0906 A(x ; y ): y, y = k(x, x ): () 3. ｰ 040060 ｧ06 04 縺0700308, 04 縺030803 閨0700608 06 縺06 閨0406 000306 0503 09 ｧ A(x ; y ) ｧ B(x ; y ): y, y y, y = x, x x, x : (3) 4. ｪ05030303 0 0805 ｧ 0503 0906 0406 縺06 ﾀ06 060 ｧ07 00604 000006000400308 04 縺0700308 A x + B y + C =0 ｧ A x + B y + C =0,00607003 縺0600 ｧ0504 ﾀ0304006 ﾀ05003 ｧ08 06 040060 ｧ07. 7030006 ｧ0:,C B,C B A,C A x = A,C ; y = B A B A : B A B 8. 0504 縺06 閨0600 ｧ0504 06050300 00607 閨06 04 縺070030 ｧ: ) y =x, 3, y = x +; ) 5x, y +7=0, x, 3y +=0; 3) x + y =0, y =3x, 4; 4) 3x +y =0, 6x +4y +9=0; 5) 3x, 4y =6, 8x +6y =; 6) x a + y b =, x b + y a =. 83. ｮ 縺06 陦ｧ 04 縺0700308 3x,y+7 = 0, 6x,4y,9 = 0, 6x+4y,5 = 0, x +3y, 6=00609 0504 04 000006000400306 ｧ 0406 縺04060 陦ｧ09060007 縺00306. 84. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 0406 09 04 縺0700308, 04 縺030803 閨070 ｧ08 06 縺06 0503-0906 A(; 3). 6 50303 0504 ｧ 0505030503 0406 09 04 縺0700306, ﾀ03 ﾀ05 040007060 ｧ06 ﾀ 03 ﾀ0406 Ox 06050003: ) 45 ;)60 ;3)35 ;4)0, ｧ 0403 ﾀ05 縺03 ｧ0504 ｧ08. 85. 703 ﾀ05 縺03 ｧ0504 0503 0906 A(,; 5) ｧ 04 縺0700606 x, y = 0. 7 04 ｧ- ﾀ 0504 06 040060 ｧ06 0406 09 04 縺0700308, 04 縺030803 閨070 ｧ08 06 縺06 A, ｧ 040303 0504 ｧ 0406 09 : ) 04 縺0700606, 04 000006000400606 000308; ) 04 縺0700606, 0406 縺04060 陦ｧ0906-0007 縺00606 09 000308. 86. 6 50503 09 08 0406 縺06 ﾀ06 060 ｧ07 04 縺0700308 x, 5y, 0 = 0 ﾀ 03 ﾀ070 ｧ 090303 罍陦ｧ0 05 0403 ﾀ ﾀ05 040006003 0406 縺04060 陦ｧ09060007 縺03 09 05050308 04 縺0700308. 7 04 ｧ ﾀ 0504 ｧ08 06 040060 ｧ07. 87. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 04 縺0700308, 04 縺030803 閨0700608 06 縺06 0503 09 ｧ A(,; 3) ｧ B(4;,).

38 0600.. 縺0 00 ｧ05 ｧ 06 ﾀ09 07 05060300605 罍ｧ07 0 040003 ﾀ0903 ﾀ05 ｧ 88. 6 505 縺0606050300040 ｧ0906 ﾀ 0406 縺00 ｧ0 0 ｧ A(,; 0), B(; 6) ｧ C(4; ) 04 縺030406 閨06003 0403 ﾀ0305 BD ｧ 006 陦ｧ 0 BE. 7 04 ｧ ﾀ 0504 06 040060 ｧ07 ﾀ0503- 縺03003 AC, 006 陦ｧ 003 BE ｧ 0403 ﾀ030503 BD. 89. 7 0805 ｧ 0400605 縺0600 ｧ06 06050003 05 縺0606050300040 ｧ09, ﾀ0503 縺03003 09030503 縺030503 003 06 040060 ｧ070 ｧ x +y =0, x +4y, 6=0, x, 4y, 6=0. ｰ09 0 ｧ06. ｪ05030303 0 0805 ｧ 0400605 縺0600 ｧ06 06050003 05 縺0606050300040 ｧ09, 00607003 06050003040306 0903050707 ｧ09 ｧ0600503 ﾀ0503 縺030 040304 ｧ ﾀ 0504 04 0403 縺07 閨0906 06030304 0 ｧ07: k >k > k, k 3 +k k 3, >k 3, 05060 0403 ｧ ﾀ00070504 05 005060 ﾀ03 0605000304 0403 0703 縺00600 0 k, k, +k k k 3, k. ｰ0306 陦ｧ0504 ﾀ07040505030 ｧ 06 縺050607, 0403006 ﾀ05 ｧ04 03 閨006 ｧ 0406 縺00 ｧ0 04 +k k 3 0 0006 090303 罍陦ｧ0 05. 90. 7 04 ｧ ﾀ 0504 06 040060 ｧ07 04 縺0700308, 04 縺030803 閨070 ｧ08 06 縺06 0 0003 0903-03 罍陦ｧ0 05 0403 060500030 45 09 04 縺0700308 y =4, x. 9. 7 04 ｧ ﾀ 0504 06 040060 ｧ07 04 縺0700308, 04 縺030803 閨070 ｧ08 06 縺06 0503 0906 A(,; ) 0403 060500030 45 09 04 縺0700308 x +3y =6. 9. 0ｷ3 0503 09 ｧ A(5; 4) 04030803 陦ｧ05 0006 ﾀ040605 0403 060500030 ' = arctg 0903 ﾀ ｧOx ｧ0305006060305 07 0605 ﾀ07. 7 04 ｧ ﾀ 0504 06 040060 ｧ07 04 060060503 ｧ 0305 070600030503 0006 0608. 93. 0504 縺06 閨0600 ｧ0504 0406 縺00 ｧ003 ｧ 06050003 05 縺0606050300040 ｧ09, ﾀ0503 縺03003 09030503- 縺030503 003 06 040060 ｧ070 ｧ x +3y =0, x =3, x, y +3=0. 94. 0505 縺06 0309 04 縺0700308 3x +y = 6, 0305 ﾀ06 06000308 03 ﾀ070 ｧ 090303 - 陦ｧ0 05, ﾀ000607 ｧ05 05 ｧ04030506006 0308 040030306 陦縺0600030503 04 縺0700306050300040030503 05 縺06-06050300040 ｧ09. 7 0805 ｧ 0406 縺00 ｧ006 04 縺070030503 060500, 06 ﾀ00 ｧ ｧ 0406 ﾀ05003, 0503 030 000607 ｧ05 080403000609 000308 04 縺0700308. 95. 6 7 0 05 縺0606050300040 ｧ09 ﾀ 0406 縺00 ｧ0 0 ｧ A(,; 0), B(; 4) ｧ C(4; 0). 7 04 ｧ ﾀ 0504 06 040060 ｧ07 ﾀ0503 縺030 05 縺0606050300040 ｧ09, 006 陦ｧ 003 AE, 0403 ﾀ030503 AD ｧ 0 0805 ｧ 閨00 ｧ006 006 陦ｧ 003 AE. 96. 7 04 ｧ ﾀ 0504 06 040060 ｧ07 ﾀ0503 縺030 ｧ 0 0805 ｧ 06050003 05 縺0606050300040 ｧ09 ﾀ 0406 縺00 ｧ0 0 ｧ A(0; 7), B(6;,) ｧ C(; ). 97. 7 縺070 07 x, y +8 = 0 0406 縺06 ﾀ0609 0605 03 ﾀ ｧOx ｧ Oy 040503 09 08 A ｧ B. ｯ03 09 M 閨0600 ｧ05 AB 04030500300060 ｧ ｧ AM : MB =3:. 7-04 ｧ ﾀ 0504 06 040060 ｧ06 0406 縺04060 陦ｧ09060007, 0403 ﾀ ﾀ05 04000600030503 04 0503 0906 M 09 04 縺0700308 AB. 98. 703 ﾀ05 縺03 ｧ0504 05 縺0606050300040 ｧ09, ﾀ0503 縺03003 09030503 縺030503 003 06 04006-0 ｧ070 ｧ x+y =4, 3x,y =0, x,3y,8 =0; 0 0805 ｧ 06050003 ｧ 0400030 閨04 05 縺0606050300040 ｧ09. 99. 7 0805 ｧ 0503 0906 0406 縺06 ﾀ06 060 ｧ07 006 陦ｧ 0 ｧ 0503 0906 0406 縺06 ﾀ06 060 ｧ07 0403- ﾀ0305 05 縺0606050300040 ｧ09, 0406 縺00 ｧ003 09030503 縺030503 A(,4; ), B(;,5) ｧ C(5; 0). 00. 0ｷ3 0503 09 ｧ A(,5; 6) 04030803 陦ｧ05 0006 ﾀ040605 0403 060500030 ' = = arctg (,) 0903 ﾀ ｧOx ｧ0305 07 0605 ﾀ07 0305 03 ﾀ ｧOx, 05060 0305 03 ﾀ ｧ Oy. 7 04 ｧ ﾀ 0504 06 040060 ｧ07 04 ﾀ0608 05 縺06080006 0608.

3x 6. 703 縺0 000400306 06 040060 ｧ06 04 縺0700308 9 x 6. 703 縺0 000400306 06 040060 ｧ06 04 縺0700308. 7 ﾀ ﾀ0503070 ｧ06 0305 0503 09 ｧ 閨03 04 縺0700308. ｰ 040060 ｧ07 03 ｧ ﾀ ﾀ060905 罍ｧ ﾀ. ｰ 040060 ｧ06 0406 09 04 縺0700308, 04 縺030803 閨070 ｧ08 06 縺06 0503 0906 0406 縺06 ﾀ06 060 ｧ07 閨040608 000308 04 縺0700308. 703 縺0 000400306 06 040060 ｧ06 04 縺0700308 x cos + y sin, =0; () 05 閨06 閨00 ｧ0 0406 縺04060 陦ｧ09060007 (003 縺0 00 ｧ), 03040600600030503 ｧ 0 00 090303 - 陦ｧ0 05 0 04 縺0700606, 06050300 0 0900030 0505030503 0406 縺04060 陦ｧ09060007 09 03 ﾀ ｧ Ox. ｪ05030303 04 罍ｧ0406 ﾀ05 ｧ 030300606 06 040060 ｧ06 04 縺0700308 Ax + By + C =009 003 縺0 0004-003006 04 ｧ 閨06, 00607003 04 ﾀ06 0006003 060503 06000307 ｧ0504 0 003 縺0 ｧ 縺06060 ｧ08 000307 ｧ05060004 M =, 04 07050308 ﾀ03 0 09030, 04 縺0305 ｧ040304030003070030 0 0906 ﾀ04030303 - A + B 0030503 00060 C.. 7 ﾀ ﾀ0503070 ｧ06 d 0305 0503 09 ｧ (x 0 ; y 0 ) 閨03 04 縺0700308 0 08 閨060; 06 ﾀ00 ｧ 04 0006040606 ﾀ0504 003 縺0 00040030503 06 040060 ｧ07 04 縺0700308 0 006 ﾀ0503 05060906-0 ｧ08 090303 罍陦ｧ0 05 0403 陦ﾀ05 04 ｧ0 090303 罍陦ｧ0 0503 (x 0 ; y 0 ) ｧ 04030006 06000306 ｧ ﾀ0003 0403 040060 0403 03 ﾀ0300060500308 040600 ｧ ｧ006: d = jx 0 cos + y 0 sin, j; () ｧ00 ｧ d = jax 0 + By 0 + Cj A + B : ( 0 ) 3. ｰ 040060 ｧ07 03 ｧ ﾀ ﾀ060905 罍ｧ ﾀ 0605000304 00607 閨06 04 縺070030 ｧ Ax + By + + C =0 ｧ A x + B y + C =0: Ax + By + C = A x + B y + C : (3) A + B A + B 4. ｰ 040060 ｧ06 0406 09 04 縺0700308,04 縺030803 閨070 ｧ08 06 縺06 0503 0906 0406 縺06- ﾀ06 060 ｧ07 閨040608 000308 04 縺0700308: (Ax + By + C) +(A x + B y + C )=0: (4) 030307003 0403000307 ｧ0504 =, ｧ ﾀ090006 ｧ04 0505 ｧ0 ｧ 0406 09 (4) 040503 縺0606 ｧ 0-00308 04 縺0700308. 0. 7 罍ｧ0406 ﾀ05 ｧ 09 003 縺0 0004003006 04 ｧ 閨06 06 040060 ｧ07 04 縺0700308: ) 3x, 4y, 0 = 0; ) x + y +3=0; 3) y = kx + b. 0. 703 ﾀ05 縺03 ｧ0504 04 縺0700606, 06 ﾀ00 ｧ 閨00 ｧ0 003 縺0 00 ｧ =, 06050300 0 0900030 0606 09 03 ﾀ ｧ Ox 04060: ) 45 ;) 35 ;3) 5 ;4) 35. 7 04 ｧ ﾀ 0504 06 040060 ｧ07 0505 ｧ08 04 縺0700308. 03. 7 0805 ｧ ﾀ ﾀ0503070 ｧ07 0305 0503 0609 A(4; 3), B(; ) ｧ C(; 0) 閨03 04 縺0700308 3x +4y, 0=0. 703 ﾀ05 縺03 ｧ0504 0503 09 ｧ ｧ 04 縺0700606.

30 0600.. 縺0 00 ｧ05 ｧ 06 ﾀ09 07 05060300605 罍ｧ07 0 040003 ﾀ0903 ﾀ05 ｧ 04. 7 0805 ｧ ﾀ ﾀ0503070 ｧ06 0305 0 00 090303 罍陦ｧ0 05 閨03 04 縺0700308 x,, 5y +39=0. 05. 70309 0504, 0503 04 縺0700306 x, 3y =6 ｧ 4x, 6y =504 00-00060004003, ｧ 0 0805 ｧ ﾀ ﾀ0503070 ｧ06 00607 閨06 0 ｧ0 ｧ. ｰ 09 0 ｧ 06. 7 03 閨00308 ｧ 04 縺0700308 04 07050404 縺03 ｧ 04030004006060503 0906 ｧ 0 0805 ｧ ﾀ ﾀ0503070 ｧ06 0305 00606 閨03 陦縺06050308 04 縺0700308. 06. 7 0805 ｧ k ｧ 06 ﾀ000304 ｧ07, 0503 04 縺070 07 y = kx +5 06 00060 0305 0 00 090303 罍陦ｧ0 05 0 ﾀ ﾀ0503070 ｧ06 d = 5. 07. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 05060300605 罍ｧ 06 ﾀ09030503 006 ﾀ05 0503 0609, 06 00060-00308 0305 04 縺0700308 4x, 3y =00 ﾀ ﾀ0503070 ｧ06 d =4. 08. ｮ03 ﾀ05 04 ｧ0504 06 040060 ｧ06 04 縺0700308, 06 0006000308 0305 0503 09 ｧ A(4;,) 0 ﾀ ﾀ0503070 ｧ06 d =4 ｧ 04 000006000400308 04 縺0700308 8x, 5y =0. 09. 7 04 ｧ ﾀ 0504 06 040060 ｧ07 03 ｧ ﾀ ﾀ060905 罍ｧ ﾀ 0605000304 00607 閨06 04 縺070030 ｧ x +3y =0 ｧ 3x +y =0. 0. 7 04 ｧ ﾀ 0504 06 040060 ｧ07 03 ｧ ﾀ ﾀ060905 罍ｧ ﾀ 0605000304 00607 閨06 04 縺070030 ｧ 3x +4y = ｧ y =0.. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 05 06090503 罍ｧ ｧ 0503 09 ｧ M (x; y), 09030503 07 04 罍ｧ ﾀ0403060 閨04 ｧ07060 ｧ ｧ 03 ﾀ05 0605 ﾀ07 0405 縺0306 00040006 0305 04 縺0700308 y =x, 4, 060 0305 04 縺0700308 y =4, x.. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 04 縺0700308, 04 縺030803 閨0700608 06 縺06 0503 0906 M 0406 縺06 ﾀ06 060 ｧ07 04 縺0700308 x + y +6= 0 ｧ 3x +5y, 5 = 0 ｧ 06 縺06 0503 0906 N (;,) (006 0 0803 閨07 0503 09 ｧ M). 3. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 04 縺0700308, 04 縺030803 閨0700608 06 縺06 0503 0906 M 0406 縺06 ﾀ06 060 ｧ07 04 縺0700308 5x, y +0=0 ｧ 8x +4y +9=0 ｧ 04 00-0006000400308 04 縺0700308 x +3y =0(006 0 0803 閨07 0503 09 ｧ M). 4. 7 0805 ｧ 閨00 ｧ006 0403 ﾀ030503 BD 0405 縺0606050300040 ｧ0906 ﾀ 0406 縺00 ｧ0 0 ｧ A(,3; 0), B(; 5) ｧ C(3; ). 5. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 04 縺0700308, 04 縺030803 閨0700608 06 縺06 0503 0906 A(; 4) ｧ06 0006000308 0305 0 00 090303 罍陦ｧ0 05 0 ﾀ ﾀ0503070 ｧ06 d =. 6. 7 縺030406 罍ｧ0504, 0503 0503 09 ｧ A(,4;,3), B(,5; 0), C(5; 6) ｧ D(; 0) ﾀ000607 05 0406 縺00 ｧ0 0 ｧ 05 040609 ｧ ｧ, ｧ 0 0805 ｧ 0606 0403 ﾀ030506. 7. ｪ06 縺06 0 0003 090303 罍陦ｧ0 05 04 縺030406 閨060 04 縺070 07 0 03 陦ｧ0 090304030 ﾀ ﾀ0503070 ｧ ｧ 0305 0503 0609 A(; ) ｧ B(4; 0). 7 0805 ｧ 050503 ﾀ ﾀ0503070 ｧ06. 8. 7 04 ｧ ﾀ 0504 06 040060 ｧ07 05060300605 罍ｧ 06 ﾀ09030503 006 ﾀ05 0503 0609, 06 00060-00308 0305 04 縺0700308 x +y, 5=00 ﾀ ﾀ0503070 ｧ06, 0400306 5. 9. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 05 06090503 罍ｧ ｧ 0503 09 ｧ M (x; y), 09030503 07 04 罍ｧ ﾀ0403060 閨04 ｧ07060 ｧ ｧ 03 ﾀ05 0605 ﾀ07 04 閨040306 00040006 0305 04 縺0700308 y = x, 060 0305 04 縺0700308 y =,x. 0. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 04 縺0700308, 04 縺030803 閨0700608 06 縺06 0503 0906 M 0406 縺06 ﾀ06 060 ｧ07 04 縺0700308 x, 3y +5=0 ｧ 3x + y, 7=0 ｧ 0406 縺04060 陦ｧ- 09060007 縺00308 09 04 縺0700308 y =x (006 0 0803 閨07 0503 09 ｧ M).

3x 7. ｮ00600 000306 ｧ 0 04 縺0700606 x 7. ｮ00600 000306 ｧ 0 04 縺0700606. ｪ06 縺06 0 0003 090303 罍陦ｧ0 05 04 縺030406 ﾀ05 ｧ 04 縺0700606, 0303 060600606 ﾀ 04 縺070030 ｧ x + y = a ｧ x =005 縺0606050300040 ｧ09 0400030 閨0406 a.. 6 7 003 0503 09 ｧ A(,4; 0) ｧ B(0; 6). ｪ06 縺06 ﾀ06 縺06 陦ｧ006 0305 縺06 09 AB 04 縺030406 ﾀ05 ｧ 04 縺0700606, 0305 ﾀ0609 0600606 0 03 ﾀ ｧOx 0305 縺06 0309, 04 閨040306 03030004-00 ｧ08, 060 0 03 ﾀ ｧ Oy. 3. 6 7 003 0503 09 ｧ A(,; 0) ｧ B(;,). 7 0305 縺06 0906 OA 0403 ﾀ05 縺03060 04 000006000305 00 OACD, 陦ｧ 05030 00 ｧ 09030503 縺030503 0406 縺06 ﾀ0609 0605 ﾀ07 04 0503 0906 B. 7 04 ｧ ﾀ 0504 06 040060 ｧ07 ﾀ0503 縺030, 陦ｧ 05030 000608 04 000006000305 00 ｧ 0 0805 ｧ 06050300 CAD. 4. 7 0805 ｧ 06050003 ｧ 0400030 閨04 05 縺0606050300040 ｧ09, 0303 0304 00030503 04 縺07-0030 ｧ y =x, y =,x ｧ y = x + b. 5. 0ｷ3 0 00 090303 罍陦ｧ0 05 04 縺030406 閨06003 閨0406 04 ｧ0003 0406 縺04060 陦ｧ0906-0007 縺00306 04 縺0700306, 0303 06060 ｧ06 ﾀ 04 縺0700308 x +y = a 040030306 陦縺06000308 05 縺0606050300040 ｧ09. 7 0805 ｧ 0400030 閨04 0505030503 05 縺0606050300040 ｧ09. 6. 7 0805 ｧ 0400605 縺0600 ｧ06 06050003 05 縺0606050300040 ｧ09, 06 ﾀ00 ｧ 003 06 04006-0 ｧ07 060503 ﾀ0503 縺030: (AB) x, 3y +3 = 0 ｧ (AC) x +3y +3 = 0 ｧ 03 ﾀ00304 0 ｧ06 D(,; 3) 0403 ﾀ030503 AD. 7. 6 7 003 06 040060 ｧ07 03030903040308 ﾀ0503 縺030 040030306 陦縺0600030503 05 縺06-06050300040 ｧ09 3x + y =0 ｧ x, 3y =0 ｧ0503 09 (5; 0) 0 060503 03 ﾀ00304 0 ｧ ｧ. 7 0805 ｧ 0406 罍ｧ00605 ｧ 0400030 閨04 05 縺0606050300040 ｧ09. 8. 6 5 05 縺0606050300040 ｧ0906 ABC 003: ) 06 040060 ｧ06 ﾀ0503 縺03003 (AB) 3x +y =;)06 040060 ｧ06 0403 ﾀ030503 (BM) x +y =4;3)06 040060 ｧ06 0403 ﾀ030503 (AM ) 4x + y = 6, 05 閨06 M 0503 09 0406 縺06 ﾀ06 060 ｧ07 0403 ﾀ0305. 7 04 ｧ ﾀ 0504 06 040060 ｧ07 ﾀ0503 縺030 AC, BC ｧ 0403 ﾀ030503 CM. 9. 6 70406 ﾀ0503 縺03003 04 000006000305 00 003 06 040060 ｧ070 ｧ y = = x, ｧ 5y = x +6. 6 7 ｧ 05030 00 ｧ 060503 0406 縺06 ﾀ0609 0605 ﾀ07040 0006 090303 - 陦ｧ0 05. 7 04 ｧ ﾀ 0504 06 040060 ｧ07 閨040608 陦縺0605 ｧ08 ﾀ0503 縺030 04 000006000305 00 ｧ 060503 陦ｧ 05030 000608. 30. 6 7 0 05 縺0606050300040 ｧ09 ﾀ 0406 縺00 ｧ0 0 ｧ A(0;,4), B(3; 0) ｧ C(0; 6). 7 0805 ｧ ﾀ ﾀ0503070 ｧ06 0406 縺00 ｧ003 C 0305 03 ｧ ﾀ ﾀ060905 罍ｧ ﾀ03 060500 A. 3. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 05 06090503 罍ｧ ｧ 0503 09 ｧ M (x; y), 閨04 ｧ0706-00608 ﾀ07 05 09, 0503 ﾀ0600 ﾀ ﾀ0503070 ｧ08 0305 00606 閨03 04 縺0700308 y = x ｧ y =,x= 03 ﾀ05 0605 ﾀ07 0403 ﾀ050307000308 ｧ 0400308 5. 3. 703 ﾀ05 縺03 ｧ0504 030300 ﾀ05 ｧ, 090303 罍陦ｧ0 0503 0503 0609 09030503 縺0308 06 閨03040006050403- 縺070605 006 04060 ﾀ0504 0: ) x, <y<0 ｧ x>0; ), 6 y 6 x 6 ; 3) < x + y<8, x>0 ｧ y>0. 33. ｮ0503 縺03003 AB ｧ BC 04 000006000305 00 003 06 040060 ｧ070 ｧ x,y +5=0 ｧ x,y +4 = 0, 陦ｧ 05030 00 ｧ 060503 0406 縺06 ﾀ0609 0605 ﾀ07 04 0503 0906 M (; 4). 7 0805 ｧ 閨00 ｧ003 060503 0403 ﾀ0305. 34. 7 0805 ｧ 0406 縺00 ｧ003 04 縺0700306050300040030503 040030306 陦縺0600030503 05 縺06-06050300040 ｧ09, 06 ﾀ00 ｧ 0 0406 縺00 ｧ0 04 縺070030503 060500 C(3;,) ｧ 06 04006-0 ｧ06 05 ｧ04030506006 03 3x, y +=0.

3 0600.. 縺0 00 ｧ05 ｧ 06 ﾀ09 07 05060300605 罍ｧ07 0 040003 ﾀ0903 ﾀ05 ｧ 35. 6 7 003 閨0406 0406 縺00 ｧ003 05 縺0606050300040 ｧ09 A(,4; 3) ｧ B(4;,) ｧ 0503 09 0406 縺06 ﾀ06 060 ｧ07 0403 ﾀ0305 M (3; 3). 7 0805 ｧ 05 縺06050406 0406 縺00 ｧ006 C. 36. 6 503 ｧ ﾀ00 ｧ0504 090303 罍陦ｧ0 0503 0406 縺00 ｧ003 縺03003, 06 ﾀ00 ｧ ｧ 0406 ﾀ05003 06 040060 ｧ07 閨040608 060503 ﾀ0503 縺030: x +y =4 ｧ x +y =0, ｧ06 040060 ｧ06 03 閨00308 ｧ 060503 陦ｧ 05030 000608: y = x +. 37. ｮ03 ﾀ05 04 ｧ0504 06 040060 ｧ07 ﾀ0503 縺030 05 縺0606050300040 ｧ09, 0 07 03 閨006 060503 0406 縺00 ｧ006 A(0; ) ｧ06 040060 ｧ07 0403 ﾀ0305: (BM) x + y = 4 ｧ (CM) y =x, 05 閨06 M 0503 09 0406 縺06 ﾀ06 060 ｧ07 0403 ﾀ0305. 38. 6 7 003 04 縺070 07 x +y, 4 = 0 ｧ0503 09 A(5; 7). 7 0805 ｧ: ) 04 縺03060909 ｧ06 B 0503 09 ｧ A 0 000606 04 縺0700606; ) 0305 07060 ｧ06 C 0503 09 ｧ A 04 000308 04 縺0700308. ｰ 09 0 ｧ 06. 7 04 ｧ ﾀ 04 06 040060 ｧ06 0406 縺04060 陦ｧ09060007 AB ｧ 縺0600 ｧ04 060503 ﾀ0304006 ﾀ05003 ﾀ 06 040060 ｧ060 000308 04 縺0700308, 0 08 閨060 0503 0906 B, 09030503 07 06 ﾀ0504 ﾀ06 縺06 陦ｧ0 AC. 39. 6 7 0 04 縺070 07 x + y, 6=0 ｧ 0 00608 閨0406 0503 09 ｧ A ｧ B ﾀ 03 罍陦ｧ0 05 0 ｧ y A =6 ｧ y B =,. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 0403 ﾀ030503 AD 05 縺0606050300040 ｧ09 AOB, 0 0805 ｧ 0606 閨00 ｧ006 ｧ DAB. x 8. 0509 縺0607003 ﾀ0504 ｰ 040060 ｧ06 0309 縺0607003 ﾀ05 ｧ ﾀ0906005 縺030 04 0503 0906 C(a; b) ｧ 陦ｧ06 ﾀ030, 040030 R: (x, a) +(y, b) = R : () ｭ ﾀ00 ｧ 04 06 040060 ｧ ｧ () ﾀ09 縺030504 ﾀ09030309 ｧ, 0503 03003 04 罍ｧ00605 04 ｧ x + y + mx + ny + =0: () ｪ05030303 0305 06 040060 ｧ07 () 0304070504 0406 縺060805 ｧ 09 06 040060 ｧ06 04 ｧ (), 00607003 04 0006040308 ﾀ05 ｧ 06 040060 ｧ07 () 0403 閨0600 ｧ0504 04030000306 0904 陦 0503: x + m + y + n = m 4 + n, : (3) 4 40. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 0309 縺0607003 ﾀ05 ｧ ﾀ 0906005 縺030 C(,4; 3), - 陦ｧ06 ﾀ030 R =5 ｧ 0403 ﾀ05 縺03 ｧ0504 0606. 6ｧ80607 05 00 ｧ 0 05050308 0309 縺0607003 ﾀ05 ｧ 0503 09 ｧ A(,;,), B(3; ), O(0; 0)? 4. 6 7 0 0503 09 (,4; 6). 7 04 ｧ ﾀ 0504 06 040060 ｧ06 0309 縺0607003 ﾀ05 ｧ, 陦ｧ - 00605 縺030 09030503 縺0308 ﾀ000607 ｧ05 0305 縺06 0309 OA. 4. 703 ﾀ05 縺03 ｧ0504 0309 縺0607003 ﾀ05 ｧ: ) x + y, 4x +6y, 3 = 0; ) x + y, 8x =0; 3) x + y +4y =0. 43. 703 ﾀ05 縺03 ｧ0504 0309 縺0607003 ﾀ0504 x + y +5x =0, 04 縺0700606 x + y =0 ｧ 0 0805 ｧ 0503 09 ｧ ｧ08 0406 縺06 ﾀ06 060 ｧ07. 44. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 0309 縺0607003 ﾀ05 ｧ, 09 ﾀ 0600608 ﾀ07 03 ﾀ0608 090303 - 陦ｧ0 05 ｧ 04 縺030803 閨0700608 06 縺06 0503 0906 A(; ).

3x 8. 0509 縺0607003 ﾀ0504 3 45. 7 0805 ｧ 06050300 00607 閨06 陦ｧ06 ﾀ 0 ｧ 0309 縺0607003 ﾀ05 ｧ x + y +4x,, 6y =0, 04 縺030406 閨0600030 ｧ 04 0503 09 ｧ 0406 縺06 ﾀ06 060 ｧ07 0606 ﾀ 03 ﾀ0406 Oy. 46. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 0309 縺0607003 ﾀ05 ｧ, 04 縺030803 閨0700608 06 縺06 0503 09 ｧ A(,; 3), B(0; ) ｧ C(;,). ｰ 09 0 ｧ 06. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 ｧ ﾀ090300308 0309 縺0607003 ﾀ05 ｧ 04 04 ｧ 閨06 x + + y + mx + ny + =0, 0403 陦ﾀ05 04 ｧ0504 04 0060503 090303 罍陦ｧ0 0503 09 07 閨0308 0503 09 ｧ ｧ 05060 0 0805 ｧ m, n ｧ. 47. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 0309 縺0607003 ﾀ05 ｧ, 04 縺030803 閨0700608 06 縺06 0503 09 ｧ 0406 縺06 ﾀ06 060 ｧ07 0309 縺0607003 ﾀ05 ｧ x + y +4x, 4y =0 ﾀ 04 縺0700308 y =,x ｧ 06 縺06 0503 0906 A(4; 4). 48. 0504 縺06 閨0600 ｧ0504 030300 ﾀ0504 ﾀ0403000307060 ｧ07 09 罍ｧ040308 y =,,x, 4x. 703 ﾀ05 縺03 ｧ0504 09 罍ｧ040606. 49. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 09 ﾀ 0506000400308 09 0309 縺0607003 ﾀ05 ｧ x + y,, 8x, 4y +6=0, 04 縺030406 閨06000308 ｧ 0 00 090303 罍陦ｧ0 05. 50. 6 7 0 0503 09 A(a; 0). ｯ03 09 M 閨04 ｧ070605 ﾀ07 05 09, 0503 04 4OMA 06050300 OMA 03 ﾀ05 0605 ﾀ07 04 縺070030. 0504 縺06 閨0600 ｧ0504 05 06090503 罍ｧ06 閨04 ｧ07060 ｧ07 0503 09 ｧ M. 5. 6 7 003 0503 09 ｧ A(,6; 0) ｧ B(; 0). 7 0805 ｧ 05060300605 罍ｧ 06 ﾀ090306 006 ﾀ0503 0503 0609, ｧ 09030503 縺0308 0305 縺06 09 ｧ OA ｧ OB 04 ｧ 閨003 0403 040030 ｧ 060500 0 ｧ. 5. 0504 縺06 閨0600 ｧ0504 05 06090503 罍ｧ06 0503 09 ｧ M (x; y), 閨04 ｧ070600608 ﾀ07 05 09, 0503 ﾀ0600 0904 陦 050304 ﾀ ﾀ0503070 ｧ08 0305 00606 閨03 0503 0609 A(,a; 0), B(0; a) ｧ C(a; 0)03 ﾀ05 0605 ﾀ07 0400308 3a. 53. 0504 縺06 閨0600 ｧ0504 05 06090503 罍ｧ06 0503 09 ｧ M (x; y), 閨04 ｧ070600608 ﾀ07 05 09, 0503 ﾀ0600 0904 陦 050304 ﾀ ﾀ0503070 ｧ08 0305 00606 閨03 03 ｧ ﾀ ﾀ060905 罍ｧ ﾀ 090303 罍陦ｧ0 05-00308 0605000304 03 ﾀ05 0605 ﾀ07 0400308 a. 54. 6 7 0 0309 縺0607003 ﾀ0504 x + y = a. 0ｷ3 06060503 09 ｧ A(a; 0)04 縺03-0406 閨06003 04 ﾀ060403 0030700306 0803 罍閨03. 0504 縺06 閨0600 ｧ0504 05060300605 罍ｧ 06 ﾀ090306 006 ﾀ0503 ﾀ06 縺06 陦ｧ0 0505 ｧ08 0803 罍. 55. 6 7 003 0503 09 ｧ A(,3; 0) ｧ B(3; 6). 7 04 ｧ ﾀ 0504 06 040060 ｧ06 0309- 縺0607003 ﾀ05 ｧ, 陦ｧ 00605 縺030 09030503 縺0308 ﾀ000607 ｧ05 0305 縺06 0309 AB. 56. 7 0805 ｧ 0906005 縺03 ｧ 陦ｧ06 ﾀ03 0309 縺0607003 ﾀ050608: ) x + y, 6x + +4y, 3 = 0; )x + y +5x, 7y +; 5=0;3)x + y +7y =0. 703 ﾀ05 縺03 ｧ0504 0309 縺0607003 ﾀ05 ｧ. 57. 0509 縺0607003 ﾀ0504 09 ﾀ 0605 ﾀ07 03 ﾀ ｧ Ox 040 0006 090303 罍陦ｧ0 05 ｧ 04 縺03-0803 陦ｧ05 06 縺06 0503 0906 A(0;,4). 7 04 ｧ ﾀ 0504 06 040060 ｧ06 0309 縺0607003 ﾀ05 ｧ ｧ 0 0805 ｧ 0503 09 ｧ 0406 縺06 ﾀ06 060 ｧ07 0606 ﾀ 03 ｧ ﾀ ﾀ060905 罍ｧ ﾀ 0 ｧ 090303 罍陦ｧ0 0500308 0605000304. 58. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 0309 縺0607003 ﾀ05 ｧ, 04 縺030803 閨0700608 06 縺06 0-0003 090303 罍陦ｧ0 05 ｧ 06 縺06 0503 09 ｧ 0406 縺06 ﾀ06 060 ｧ07 04 縺0700308 x + y + a =0 ﾀ 0309 縺0607003 ﾀ050406 x + y = a.

34 0600.. 縺0 00 ｧ05 ｧ 06 ﾀ09 07 05060300605 罍ｧ07 0 040003 ﾀ0903 ﾀ05 ｧ 59. 7 04 ｧ ﾀ 0504 06 040060 ｧ07 09 ﾀ 0506000400308, 04 縺030406 閨06000308 ｧ 0-00 090303 罍陦ｧ0 05 09 0309 縺0607003 ﾀ05 ｧ, 04 縺030803 閨0700608 06 縺06 0503 09 ｧ A(;,), B(0;,) ｧ C(,3; 0). 60. 7 0805 ｧ 06050300 00607 閨06 陦ｧ06 ﾀ 0 ｧ 0309 縺0607003 ﾀ05 ｧ x + y, 4x + +6y, 5=0, 04 縺030406 閨0600030 ｧ 04 0503 09 ｧ 0406 縺06 ﾀ06 060 ｧ07 0606 ﾀ 03 ﾀ0406 Ox. 6. 70309 0504, 0503 0503 09 A(3; 0) 000607 ｧ05 0400605 罍ｧ 0309 縺0607003 ﾀ05 ｧ x + + y, 4x +y +=0, ｧ 0 04 ｧ ﾀ 0504 06 040060 ｧ06 0803 罍閨03, 閨06000700608 ﾀ07 04 0503 0906 A 0403040300 0. ｰ09 0 ｧ06. 0ｷ3 ﾀ09030 07 0803 罍 0406 縺04060 陦ｧ09060007 縺0 09 CA,05 閨06 C 0906005 0309 縺0607003 ﾀ05 ｧ. 6. ｯ03 09 M (x; y) 閨04 ｧ070605 ﾀ07 05 09, 0503 ﾀ0600 0904 陦 050304 ﾀ ﾀ0503-070 ｧ08 0305 00606 閨03 0 00 090303 罍陦ｧ0 05 ｧ 閨03 0503 09 ｧ A(,a; 0) 03 ﾀ05 0605 ﾀ07 0400308 a. 0504 縺06 閨0600 ｧ0504 05 06090503 罍ｧ06 閨04 ｧ07060 ｧ07 0503 09 ｧ M. 63. 6 7 0 0309 縺0607003 ﾀ0504 x + y =4.0ｷ3 0503 09 ｧ 0606 A(,; 0) 04 縺03-0406 閨060 0803 罍 AB ｧ 04 縺03 閨030007060 0 ﾀ ﾀ0503070 ｧ06 BM = AB. 0504 縺06- 閨0600 ｧ0504 05060300605 罍ｧ 06 ﾀ090306 006 ﾀ0503 0503 0609 M. 64. 0505 縺06 0309 AM = a 0406 縺060060 0605 ﾀ07 0403 040003 ﾀ0903 ﾀ05 ｧ xoy, 03 ﾀ05-04 07 ﾀ04 04 00000600040030 Ox, 05 09, 0503 0006040308 090300609 060503 A ﾀ09030004 ｧ05 0403 0309 縺0607003 ﾀ05 ｧ x + y = a. 0504 縺06 閨0600 ｧ0504 05 06090503 罍ｧ06 閨04 ｧ07060 ｧ07 0503 09 ｧ M. x 9. 70000 ｧ04 ﾀ 70000 ｧ04 ﾀ030 0 0304 0605 ﾀ07 05060300605 罍ｧ 06 ﾀ090306 006 ﾀ0503 0503 0609; ﾀ0600 ﾀ- ﾀ0503070 ｧ08 0305 09 07 閨0308 ｧ 09030503 縺0308 閨03 閨040608 000308 0503 0609 F ｧ F (07030906- ﾀ0304) 06 ﾀ0504 0403 ﾀ05030700 07 040600 ｧ ｧ0 a; 0303000400 07 F F. 07 0030 ｧ 06 ﾀ090306 (04 縺03 ﾀ050608000606) 06 040060 ｧ06 050000 ｧ04 ﾀ x a + y =: () b 70000 ｧ04 ﾀ, 000308 06 040060 ｧ060 (), ﾀ ｧ000605 罍ｧ 060 0305003 ﾀ ｧ05060004003 03 ﾀ0608 090303 罍陦ｧ0 05 ( 罍ｧ ﾀ. ). 7 00605 縺03 a ｧ b 0 0304 0605 ﾀ07 0403000603 ﾀ070 ｧ 050000 ｧ04 ﾀ. 7 ｧ ﾀ. 706 ﾀ0504 a>b, 050305 07030906 ﾀ03 F ｧ F 0 0803 閨0705 ﾀ07 0 03 ﾀ ｧ Ox 0 ﾀ ﾀ0503070 ｧ ｧ c = a, b 0305 0906005. 050500300060 ｧ06 c = e< 0 0304 0605 ﾀ07 0509 ﾀ0906005 罍ｧ-

3x 9. 70000 ｧ04 ﾀ 5 ﾀ ｧ050605030 050000 ｧ04 ﾀ. 7 ﾀ ﾀ0503070 ｧ07 0305 0503 09 ｧ M (x; y) 050000 ｧ04 ﾀ 閨03 060503 07030906 ﾀ0304 (070309 000400306 陦ｧ06 ﾀ-0406090503 縺03) 0304 縺06 閨0600070605 ﾀ07 0703 縺00600 0 ｧ r = a, ex; r = a + ex: () ｭ ﾀ00 ｧ 0706 a<b,050307030906 ﾀ03 0 0803 閨0705 ﾀ07 0 03 ﾀ ｧ Oy, c = b, a, e = c b, r = b ey. 65. 703 ﾀ05 縺03 ｧ0504 050000 ｧ04 ﾀ x +4y =6, 0 0805 ｧ 060503 07030906 ﾀ03 ｧ 0509 ﾀ- 0906005 罍ｧ ﾀ ｧ050605. 66. 7 04 ｧ ﾀ 0504 09 0030 ｧ 06 ﾀ090306 06 040060 ｧ06 050000 ｧ04 ﾀ, 0 07, 0503: ) ﾀ ﾀ0503070 ｧ06 00607 閨06 07030906 ﾀ 0 ｧ 04003 8, 0 00 07 0403000603 ﾀ04 b = 3; ) 0303000400 07 0403000603 ﾀ04 a =6, 0509 ﾀ0906005 罍ｧ ﾀ ｧ050605 e =0; 5. 67. 7 0805 ｧ 0 000606 0403000603 ﾀ04 b ｧ 0509 ﾀ0906005 罍ｧ ﾀ ｧ050605 e 050000 ｧ04 ﾀ, ｧ006-060060503 03030004000606 0403000603 ﾀ04 a =5 ｧ 04 00605 c, 0400308: ) 4,8; ) 4; 3) 3; 4),4; 5) 0. 703 ﾀ05 縺03 ｧ0504 09 07 閨0308 ｧ 050000 ｧ04 ﾀ0304. 68. 6ｦ00600007 閨04 ｧ070605 ﾀ07 0403 050000 ｧ04 ﾀ06, 04 03 閨0030 ｧ 07030906 ﾀ0304 09030503 縺030503 0 0803 陦ｧ05 ﾀ07 ｮ030000906. 7 ｧ006004000606 ﾀ ﾀ0503070 ｧ06 0305 6ｦ006000 ｧ 閨03 ｮ0300009 04003 04 罍ｧ0300 ｧ ｧ05060004003 47,5 0000 090, 0 ｧ03030004000606 5,5 0000 090. 7 0805 ｧ 03030004000606 0403000603 ﾀ04 ｧ 0509 ﾀ0906005 罍ｧ ﾀ ｧ050605 03 縺03 ｧ0503 6ｦ006000 ｧ. 69. 70000 ｧ04 ﾀ, ﾀ ｧ000605 罍ｧ 00308 0305003 ﾀ ｧ05060004003 03 ﾀ0608 090303 罍陦ｧ0 05, 04 縺03-0803 陦ｧ05 06 縺06 0503 09 ｧ M (; 3) ｧ B(0; ). 7 04 ｧ ﾀ 0504 060503 06 040060 ｧ06 ｧ 0 0805 ｧ ﾀ ﾀ0503070 ｧ07 0305 0503 09 ｧ M 閨03 07030906 ﾀ0304. 70. 70000 ｧ04 ﾀ, ﾀ ｧ000605 罍ｧ 00308 0305003 ﾀ ｧ05060004003 03 ﾀ0608 090303 罍陦ｧ0 05, 07030906 ﾀ03 09030503 縺030503 0 0803 閨0705 ﾀ07 0 03 ﾀ ｧ Ox, 04 縺030803 陦ｧ05 06 縺06 0503 0906 M (,4; ) ｧ ｧ0060605 0509 ﾀ0906005 罍ｧ ﾀ ｧ050605 e = 3. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 4 050000 ｧ04 ﾀ ｧ 0 0805 ｧ 070309 000400306 陦ｧ06 ﾀ-0406090503 縺03 0503 09 ｧ M. 7. 7 0805 ｧ 閨00 ｧ006 0803 罍閨03 050000 ｧ04 ﾀ x +y =8, 閨06000700608 06050300 00607 閨06 03 ﾀ070 ｧ 0403040300 0. 7. 7 0805 ｧ 0509 ﾀ0906005 罍ｧ ﾀ ｧ050605 050000 ｧ04 ﾀ, 06 ﾀ00 ｧ ﾀ ﾀ0503070 ｧ06 00607 閨06 07030906 ﾀ 0 ｧ 04003 ﾀ ﾀ0503070 ｧ06 00607 閨06 0903009 0 ｧ 03030004000308 ｧ 0 000308 0403-000603 ﾀ0608. 73. 6 5 050000 ｧ04 ﾀ x +4y =40404 ｧ ﾀ 0 04 04 ｧ000400308 05 縺0606050300040 ｧ09, 03 閨0 ｧ 0406 縺00 ｧ0 09030503 縺030503 ﾀ030404 0605 ﾀ 0903009030 03030004000308 0403000603 ﾀ ｧ. 0504 縺06 閨0600 ｧ0504 090303 罍陦ｧ0 0503 閨040608 陦縺0605 ｧ08 0406 縺00 ｧ0 05 縺0606050300040 ｧ09. ｰ 09 0 ｧ 06. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 03 閨00308 ｧ ﾀ0503 縺030, ｧ0060600608 0 090003k = tg 30, ｧ 0 0805 ｧ 0503 09 ｧ 0606 0406 縺06 ﾀ06 060 ｧ07 ﾀ 050000 ｧ04 ﾀ030. 74. 7 050000 ｧ04 ﾀ06 9x +5y = 5 0 0805 ｧ 0503 0906, ﾀ ﾀ0503070 ｧ06 0305 09030503 縺0308 閨03 04 04030503 07030906 ﾀ 04 060503 縺06 030300040006 ﾀ ﾀ0503070 ｧ07 0305 00606 閨03 000604030503 07030906 ﾀ. 75. 05 罍陦ｧ0 0503 04 ﾀ0608 0503 0609 0309 縺0607003 ﾀ05 ｧ x + y =36 ﾀ0309 006003 0405 縺0306. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 04030006 06000308 003040308 09 罍ｧ040308. 76. 0504 縺06 閨0600 ｧ0504 05 06090503 罍ｧ06 0503 09 ｧ M, 09030503 07 04 罍ｧ ﾀ0403060 閨04 ｧ- 07060 ｧ ｧ 03 ﾀ05 0605 ﾀ07 04 閨040306 0300 ｧ0706 09 0503 0906 F (,; 0), 060 09 04 縺0700308 x =,4.

36 0600.. 縺0 00 ｧ05 ｧ 06 ﾀ09 07 05060300605 罍ｧ07 0 040003 ﾀ0903 ﾀ05 ｧ 77. 0505 縺06 0309 AB 0403 ﾀ050307000308 閨00 ｧ003 a + b 閨04 ｧ070605 ﾀ07 05 09, 0503 060503 090300609 A ﾀ09030004 ｧ05 0403 03 ﾀ ｧ Ox, 090300609 B 040303 ﾀ ｧOy. 0504 縺06- 閨0600 ｧ0504 05 06090503 罍ｧ06 閨04 ｧ07060 ｧ07 0503 09 ｧ M 0305 縺06 09, 閨06000700608 060503 0 ﾀ05 ｧ BM = a ｧ MA = b (050000 ｧ0405 ｧ 06 ﾀ09 ｧ08 09 ｧ 縺09060004 6ｧ806030 罍閨03 6 5 ｧ0 ｧ). 78. 6 7 003 0309 縺0607003 ﾀ05 ｧ x + y = b ｧ x + y = a (b<a). 7 縺03 ｧ 0403000400308 0006 OBA 0406 縺06 ﾀ0609 0605 ｧ08 ﾀ030305040605 ﾀ0504060003 04 0503 09 08 B ｧ A, ｧ 09030503 縺0308 04 縺030406 閨06003 04 縺0700306, 04 000006000400306 03 ﾀ070 090303 罍陦ｧ- 0 05, 閨03 0406 縺06 ﾀ06 060 ｧ07 ｧ08 04 0503 0906 M. 0504 縺06 閨0600 ｧ0504 05060300605 罍ｧ 06 ﾀ090306 006 ﾀ0503 0503 0609 M. 79. 7 04 ｧ ﾀ 0504 04 縺03 ﾀ050608000606 06 040060 ｧ06 050000 ｧ04 ﾀ, 06 09030503 縺030503 ﾀ- ﾀ0503070 ｧ07 0305 03 閨0030503 ｧ 07030906 ﾀ0304 閨03 09030090304 03030004000308 03 ﾀ ｧ 04003 5 ｧ. 80. 70000 ｧ04 ﾀ, ﾀ ｧ000605 罍ｧ 00308 0305003 ﾀ ｧ05060004003 03 ﾀ0608 090303 罍陦ｧ0 05, 04 縺03-0803 陦ｧ05 06 縺06 0503 09 ｧ M ( 3; 6) ｧ A(6; 0). 7 04 ｧ ﾀ 0504 060503 06 040060 ｧ06, 0 0805 ｧ 0509 ﾀ0906005 罍ｧ ﾀ ｧ050605 ｧ ﾀ ﾀ0503070 ｧ07 0305 0503 09 ｧ M 閨03 07030906 ﾀ0304. 8. 7 0805 ｧ 閨00 ｧ006 0803 罍閨03 050000 ｧ04 ﾀ x a + y =, 0 04 040006000308 b 0403 陦ｧ 05030 00 ｧ 04 縺0700306050300040 ｧ09, 0403 ﾀ05 縺030600030503 0 03 ﾀ0708 050000 ｧ04 ﾀ. 8. 7 0805 ｧ 03030 ｧ06 0503 09 ｧ 050000 ｧ04 ﾀ x +4y =4 ｧ0309 縺0607003 ﾀ05 ｧ, 04 縺030803 閨0700608 06 縺06 07030906 ﾀ03 050000 ｧ04 ﾀ ｧ ｧ0060600608 0906005 04 060503 080406 縺08-0060809 0406 縺00 ｧ006. 83. 7 04 縺0700308 x =,5 0 0805 ｧ 0503 0906, 03 陦ｧ0 09030403 06 0006000606 0305 0800060403050309 07030906 ﾀ ｧ0305080406 縺080060809 0406 縺00 ｧ003 050000 ｧ04 ﾀ x +5y =0. 84. 7 050000 ｧ04 ﾀ06 x +5y = 00 0805 ｧ 0503 0906, 陦ｧ06 ﾀ-0406090503 縺03 09030503 縺0308 0406 縺04060 陦ｧ09060007 縺003. ｰ09 0 ｧ06. 0ｷ3 ﾀ090300306 0503 09 ｧ ﾀ060504 0503 09 ｧ 0406 縺06 ﾀ06 060 ｧ07 ﾀ 050000 ｧ04 ﾀ030 0309 縺0607003 ﾀ05 ｧ, 04 縺030803 閨0700608 06 縺06 07030906 ﾀ03 050000 ｧ04 ﾀ ｧ ｧ0060600608 0906005 04 0-0006 090303 罍陦ｧ0 05. 85. 縺03 ﾀ09 ｧ ﾀ ﾀ03 0503 0609 0309 縺0607003 ﾀ05 ｧ x + y =406040600 ｧ 06003 04 閨040306. 0504 縺06 閨0600 ｧ0504 04030006 06000606 09 罍ｧ040606. 86. 0504 縺06 閨0600 ｧ0504 05 06090503 罍ｧ06 0503 09 ｧ M, 09030503 07 04 罍ｧ ﾀ0403060 閨04 ｧ- 07060 ｧ ｧ 03 ﾀ05 0605 ﾀ07 0405 縺0306 0300 ｧ0706 09 0503 0906 A(; 0), 060 09 04 縺0700308 x =9. x 0. 06 ｧ0406 縺030300 06 ｧ0406 縺0303000308 0 0304 0605 ﾀ07 05060300605 罍ｧ 06 ﾀ090306 006 ﾀ0503 0503 0609; 003 ﾀ0504 ﾀ ﾀ0503070 ｧ08 0305 09 07 閨0308 ｧ 09030503 縺0308 閨03 閨040608 000308 0503 0609 F ｧ F (0703-0906 ﾀ0304) 06 ﾀ0504 0403 ﾀ05030700 07 040600 ｧ ｧ0 a (0 < a <F F ). 07 0030 ｧ 06 ﾀ090306 (04 縺03 ﾀ050608000606) 06 040060 ｧ06 05 ｧ0406 縺03030003 x a, y =: () b

3x 0. 06 ｧ0406 縺030300 7 06 ｧ0406 縺030300, 00 07 06 040060 ｧ060 (), ﾀ ｧ000605 罍ｧ 0 0305003 ﾀ ｧ05060004003 03 ﾀ0608 090303 罍陦ｧ0 05 ( 罍ｧ ﾀ. ). 050 0406 縺06 ﾀ0609 0605 03 ﾀ04Ox 040503 09 08 A(a; 0) ｧ A (,a; 0) 0406 縺00 ｧ0 08 05 ｧ0406 縺03030003 ｧ 006 0406 縺06 ﾀ0609 0605 03 ﾀ04Oy. 7 00605 a 0 0304 0605 ﾀ07 0406-006 ﾀ050406000308 0403000603 ﾀ0406, b 00 ｧ00308 0403000603 ﾀ0406. 7 00605 c = a + b 7 ｧ ﾀ. 06 ﾀ0504 ﾀ ﾀ0503070 ｧ06 0305 07030906 ﾀ 閨03 0906005. 050500300060 ｧ06 c a = e> 0 0304 0605 ﾀ07 0509 ﾀ0906005 罍ｧ ﾀ ｧ050605030 05 ｧ0406 縺03030003. 7 縺0700306 y = b x 0 0304 0605 ﾀ07 ﾀ ｧ004a 050305 0 ｧ 05 ｧ0406 縺03030003. 7 ﾀ ﾀ0503070 ｧ07 0305 0503 09 ｧ M (x; y) 05 ｧ0406 縺03030003 閨03 0606 0703-0906 ﾀ0304 (070309 000400306 陦ｧ06 ﾀ-0406090503 縺03) 0304 縺06 閨0600070605 ﾀ07 0703 縺00600 0 ｧ r = jex, aj; r = jex + aj: () 06 ｧ0406 縺030300, 06 09030503 縺0308 a = b, 0 0304 0605 ﾀ07 04003 ﾀ0503 縺03000608, 060606 04006-0 ｧ06 x,y = a, 06 040060 ｧ07 ﾀ ｧ004050305 y = x. 06 ｧ0406 縺03030003 x a, y b = ｧ y b, x =0 0304 0605 ﾀ07 ﾀ0304 縺07070600030 ｧ. a 87. 703 ﾀ05 縺03 ｧ0504 05 ｧ0406 縺03030006 x,4y =6 ｧ 0606 ﾀ ｧ00405030503. 7 0805 ｧ 07030906 ﾀ03, 0509 ﾀ0906005 罍ｧ ﾀ ｧ050605 ｧ 06050300 00607 閨06 ﾀ ｧ004050305 0 ｧ. 88. 7 05 ｧ0406 縺03030006 x, 4y =604 0705 0503 09 M ﾀ 03 罍陦ｧ0 050308, 0400308. 7 0805 ｧ ﾀ ﾀ0503070 ｧ06 0305 00606 閨03 07030906 ﾀ0304. 89. 7 04 ｧ ﾀ 0504 09 0030 ｧ 06 ﾀ090306 06 040060 ｧ06 05 ｧ0406 縺03030003, 0 07, 0503: ) ﾀ ﾀ0503070 ｧ06 00607 閨06 07030906 ﾀ 0 ｧ c =0, 00607 閨06 0406 縺00 ｧ0 0 ｧ a = = 8; ) 0406006 ﾀ05040600 07 0403000603 ﾀ04 a = 5, 0509 ﾀ0906005 罍ｧ ﾀ ｧ050605 e = = ;. 90. 06 ｧ0406 縺030300 ﾀ ｧ000605 罍ｧ 0 0305003 ﾀ ｧ05060004003 03 ﾀ0608 090303 罍陦ｧ0 05, 04 縺03-0803 陦ｧ05 06 縺06 0503 0906 M (6;, ) ｧ ｧ0060605 00 ｧ00606 0403000603 ﾀ04 b =. 7 04 ｧ ﾀ 0504 060606 040060 ｧ06 ｧ 0 0805 ｧ ﾀ ﾀ0503070 ｧ07 0305 0503 09 ｧ M 閨03 07030906- ﾀ0304.

38 0600.. 縺0 00 ｧ05 ｧ 06 ﾀ09 07 05060300605 罍ｧ07 0 040003 ﾀ0903 ﾀ05 ｧ 9. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 05 ｧ0406 縺03030003, ｧ0060600608 0406 縺00 ｧ003 04 0703-0906 ﾀ 08, 07030906 ﾀ03 04 0406 縺00 ｧ0 08 050000 ｧ04 ﾀ x 5 + y =. 9 9. 7 04 ｧ ﾀ 0504 06 040060 ｧ06 05 ｧ0406 縺03030003, ｧ0060600608 0509 ﾀ0906005 罍ｧ ﾀ ｧ050605 e =,04 縺030803 閨0700608 06 縺06 0503 0906 (a; a 3) ｧ ﾀ ｧ000605 罍ｧ 00308 0305003- ﾀ ｧ05060004003 03 ﾀ0608 090303 罍陦ｧ0 05. 93. 703 ﾀ05 縺03 ｧ0504 05 ｧ0406 縺03030006 y = a + x, 0 0805 ｧ 090303 罍陦ｧ0 0503 0606 07030906 ﾀ0304 ｧ 06050300 00607 閨06 ﾀ ｧ004050305 0 ｧ. 94. 7 04 ｧ ﾀ 0504 06 040060 ｧ07 09 ﾀ 0506000400308 09 05 ｧ0406 縺03030006 x, 4y = =6, 04 縺030406 閨06000308 ｧ 0503 09 ｧ A(0;,). 95. 7 0805 ｧ ﾀ ﾀ0503070 ｧ06 0305 07030906 ﾀ 05 ｧ0406 縺03030003 x a, y = 閨03 0606 b ﾀ ｧ004050305 ｧ 06050300 00607 閨06 ﾀ ｧ004050305 0 ｧ., y 96. 7 0805 ｧ ﾀ0503 縺03006 0904 陦 05, 0404 ｧ ﾀ 00030503 04 05 ｧ0406 縺03030006 x a, =, ｧ ｧ ﾀ ﾀ0006 閨0304 0504, 04 09 09 ｧ06 05 ｧ0406 縺03030003 00307003 0404 ｧ ﾀ 0504 0904 陦 05. b 97. 7 0805 ｧ 0509 ﾀ0906005 罍ｧ ﾀ ｧ050605 05 ｧ0406 縺03030003, ﾀ ｧ004050305 09030503 縺0308 ﾀ03- ﾀ05 0400070605 ﾀ 0406006 ﾀ050406000308 03 ﾀ0406 06050300: ) 60 ;). 98. 0504 縺06 閨0600 ｧ0504 030300 ﾀ0504 ﾀ040300030706-0 ｧ07 09 罍ｧ040308 y =, 9+x. 703 ﾀ05 縺03 ｧ0504 09 罍ｧ040606. 99. 0504 縺06 閨0600 ｧ0504 05 06090503 罍ｧ06 0503 09 ｧ M (x; y), 09030503 07 04 罍ｧ ﾀ0403060 閨04 ｧ07060 ｧ ｧ 03 ﾀ05 0605 ﾀ07 04 閨040306 0300 ｧ0706 09 04 縺0700308 x =, 060 09 0503 0906 F (4; 0). 00. 6 7 003 0503 09 ｧ A(,; 0) ｧ B(; 0). ｯ03 09 M 閨04 ｧ070605 ﾀ07 05 09, 0503 04 4AMB 06050300 B 03 ﾀ05 0605 ﾀ07 04 閨040306 030300040006 060500 A. 0504 縺06 閨0600 ｧ0504 05 06090503 罍ｧ06 閨04 ｧ07060 ｧ07. 0. 6 7 0 0503 09 A(a; 0). 70303 ﾀ ｧOy 閨04 ｧ070605 ﾀ07 0503 09 B. 7 04 縺0700308 BE, 04-000006000400308 Ox, 03050900 閨0304 0605 ﾀ07 0305 縺06 09 ｧ 7 ｧ ﾀ. 3 BM ｧ BM, 0400306 AB. 0504 縺06 閨0600 ｧ0504 05060300605 罍ｧ 06 ﾀ090306 006 ﾀ0503 0503 0609 M ｧ M. 0. 6 7 003 04 縺0700306 x = b ｧ x = a (b <a). 7 縺03 ｧ 0403000400308 0006 OA ( 罍ｧ ﾀ. 3) 0406 縺06 ﾀ0609 0605 04 縺0700606 x = b ( ｧ00 ｧ x =,b) 040503 0906 B ｧ 04 縺0700606 x = a ( ｧ00 ｧ x =,a) 040503 0906 A. 7 陦ｧ06 ﾀ030 OA 0304 ｧ ﾀ 0 閨0605, 0406 縺06 ﾀ0609 060 07 Ox 040503 0906 C. 0ｷ3 0503 0609 B ｧ C 04 縺030406 閨06003 04 縺0700306, 04 000006000400306 ﾀ030305040605 ﾀ0504060003 Ox ｧ Oy, 閨03 0406 縺06 ﾀ06 060 ｧ07 04 0503 0906 M. 0504 縺06 閨0600 ｧ0504 05060300605 罍ｧ 06 ﾀ090306 006 ﾀ0503 0503 0609 M. 03. 7 04 ｧ ﾀ 0504 09 0030 ｧ 06 ﾀ090306 06 040060 ｧ06 05 ｧ0406 縺03030003, 0 07, 0503 ﾀ ﾀ0503070 ｧ07 0305 03 閨00308 ｧ 0606 0406 縺00 ｧ0 閨03 07030906 ﾀ0304 04003 9 ｧ.

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