a (a + ), a + a > (a + ), a + 4 a < a 4 a,,, y y = + a y = + a, y = a y = ( + a) ( x) + ( a) x, x y,y a y y y ( + a : a ) ( a : a > ) y = (a + ) y = a

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1 [] a x f(x) = ( + a)( x) + ( a)x f(x) = ( a + ) x + a + () x f(x) a a + a > a + () x f(x) a (a + ) a x 4 f (x) = ( + a) ( x) + ( a) x = ( a + a) x + a + = ( a + ) x + a +, () a + a f(x) f(x) = f() = a +, a > f(x) f(x) = f() = a +, () x f(x) f(x) (a + ) (a + ) --

2 a (a + ), a + a > (a + ), a + 4 a < a 4 a,,, y y = + a y = + a, y = a y = ( + a) ( x) + ( a) x, x y,y a y y y ( + a : a ) ( a : a > ) y = (a + ) y = a x f(x) (a + ) O 4 a 4 a --

3 [] 7 () A B ( i )(iv) ( i ) A {} ( ii ) 8 B (iii) A = {} A (iv) = A B 4 () x p, q, r p : q : r : x x + 8 8x, p q p r 4 () ( i ) A {} ( ii ) 8 8 B (iii) A A A = {} A --

4 (iv) A B = A B 4 () 8 = 7 x + 8 x = 8 q p p q p r x = 8 r p x = p r -4-

5 [] a x { x + ( a )x a x + 4ax x a x a, x a a 4 x + ( a ) x a (x + ) ( x a ) x a x + 4ax x (x + 4a) x 4a, x, a 4a a a a --

6 [] ABC AB = 7 ACB = 6 ABC O O C AB P () PA = PB PA = () PAB PA = () sin PBA PA = PAB () 7 sin 6 = R R = 7 P PA= k,pb= k PAB (k) + (k) (k) (k) cos 6 = ( 7 ) k k 7k = 7 k = A 7 B PA =, () PAB PAB AB PA = 7, () sin PAB PAB = 9 PA:AB= : PA = 4-6-

7 PAB 7 7 = 49,, -7-

8 [] 4 C 4 4 ( C) (mm) C (%) (%) () Web, 4 C 8% 4-8-

9 -9-

10 [] 4 O N M 6 () N M a, b, c () 6 () 6 () ( C) 4 4 ( C) N 4 4 ( C) M a b c 4 4 C Web - a, N b, M c a, N c, M b b, N a, M c b, N c, M a 4 c, N a, M b c, N b, M a () O N M 6 O N M --

11 ( C) O ( C) N ( C) M ( C) 4 ( C) 4 ( C) Web, 4 N M N M N M O N 4 O N () 9 N ( C) ( F) ( F) ( C) 9 C 9 F N X, Y Y X N Z, N W W Z N U, N V V U

12 () () O N M O N O,, () N C, F F = 9 C + ( ) 9 Y = V C + = 8 8 V (C) = X Y X = 8 N ) x i, y i N ) 9 y i + (xi x) (y i y) Z = n ( ) 9 (xi x) y i + 9 y + W = n (xi x) (y i y) = 9 W Z = 9 n = 9 Z (xi x) (y i y) U = σ (x) σ (y) ( ) 9 (xi x) y i + 9 y + V = σ (x) σ ( 9 y + ) = U V U = --

13 4 A B () A B () A B A B () A B A A B A B A B B () 4 = 8, --

14 () A B 4 =, A A B =, () A B = 44 A B 4 =,, B =, B A = 4, -4-

15 () 9x + 97y = x, y x x =, y = 9x + 97y = x, y x x =, y = () () 4 (4) 6. (6).4 (6). (6).4 (6) 4. (6).4 (6) 7 47 () = = 7 + = 9 7 = 9 (97 9 ) 7 = 97 ( 7) x + 97y = 9 (x ) + 97 (y + 7) = --

16 97 x = 97k, y + 7 = 9k x = 97k +, y = 9k 7 x k = x =, y = 7, = 97 ( 7) + 9 9x + 97y = 9 (x ) + 97 (y + 7) = x = 97k, y + 7 = 97k x = + 97k, y = 9k 7 x k = x = 7, y =, () () = = = (4). (6) = 6 =..4 (6) = 4 6 =.666. (6) = =. +.4 (6) = = 4 =.7. (6) = = (6) = = 8 =.,,,, -6-

17 ABCD AB = 4, BC =, DA = DC 4 A, B, C, D AC BD E, AD : F, FE DC G D F A E C B G 4 ABC ABCD ABC DAC DCA DBC ABD ACB ADB BCG 4 BEG EC AE = ACD FE GC DG = () AB G AGD AG B BG = AB DC G 4 A, B, C, D DC = () ABCD ABCD BAC = -7-

18 FE AB H GC DG = AH = AH 7 4 () DA=DC DAC = DCA DAC = DBC, DCA = ABD BE ABC EC AE =, ACD AE EC CG GD DF FA = CG GD = CG GD =, A F 4 E B D C G D AGD AB BG GC CD DF FA = 4 BG = BG = GC= k,gd= k GB GA = GC GD 7 = k k k = 7 A F E 4 B, C G CD = k = 7-8-

19 () H AB = 4 AB ACB = 9 AB= 4,BC= BAC = A F D ABD = DBC = BDC = BAC = DC//AB GC DG = AH BH = AH = AB = E C B G -9-

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