005 11 http://www.hyuki.com/girl/ http://www.hyuki.com/story/tetora.html http://www.hyuki.com/ Hiroshi Yuki c 005, All rights reserved. 1
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(a + b)(a b) = a b (x + y)(x y) = x y a b x y a b x y 4
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3 r r r r r 0 r 0 r 0 r = 0 r r r 0 r r 0 r r r 0 r 0 r r = 0 7
a b (a b) 0 a b 0 r 0 r a b r ( real number) x x w w a, b, c x, y, z n n OK (a b) 0 (a b) 0 8
(a b) = (a b)(a b) = a(a b) b(a b) = aa ab ba + bb = a ab + b (a b) 0, (a b) = a ab + b a b a ab + b 0 (a b) 0 0 ab 9
a + b ab a + b ab a b a b a +b a b ab a b ab a b ab = a b 10
ab a = b = ab = ( ) = 4 a b = ( ) = 16 = 4 ab 0 ab = a b ab 0 a +b ab a + b a b ab 0 ab 0 ab ab < 0 a = b = = a + b = + ( ) = 4 11
= a b = ( ) = 16 = 4 ab 0 ab < 0 a b a > 0 b < 0 c = b c c > 0 a +b ab a c a + c ac = a + c = a + ( b) = a + b c = b 1
= ac = a c = a ( b) = a b ac > 0 c = b a + b a b a > 0 b < 0 a b a b a b a + b a b a b a b a b a x b y x y 0 x 0 y 0 x + y xy x 0 y 0 13
x+y xy 0 r 0 4 ( x y ) 0 ( ) ( ) ( ) x y = x x y + y = x x y + y = x xy + y 0 x xy + y 0 14
xy x + y xy x 0 y 0 x 0 y 0 x y 0 0 0 0 0 x + y = xy x y x y 0 x = 0 y = 0 0 0 x = y x = 3 y = 3 x+y = 3+3 = 3 xy = 3 3 = 3 x = y = x+y = ( )+( ) = xy = ( ) ( ) = x 0 y 0 15
(a b) 0 a = b x = y x + y x y 1 1 16
(x + y) 1 (x y) 1 (x 0, y 0) (x 1 + x + + x n ) 1 n (x 1 x x n ) 1 n (x k 0) ( n k=1 x k ) 1 n ( n k=1 x k ) 1 n (x k 0) x = y 5 17
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