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# 2012å¹´åº¦æ°å­¦Iæ¼ç¿ç¬¬3å

2012å¹´åº¦æ°å­¦Iæ¼ç¿ç¬¬3å

2012 I 3 IIIII 21 24 5 24 1. [a, b] f {f(x) | a ≤ x ≤ b} 2. f y f(x) = y x 2 ✓ g f g f f x g(f(x)) = x g y f(g(y)) = y ✒ ✓ f f x 1 x 2 x 1 < x 2 ⇒ f(x 1 ) < f(x 2 ) x 1 < x 2 =⇒ f(x 1 ) > f(x 2 ) ✒ ✏ ✑ ✏ ✑ 3. f (1) f f (2) f f −1 4. f f −1 f −1 f(a) f ′ (a) ≠ 0 5. ( f −1 ) ′ (f(a)) = 1 f ′ (a) f(x) = x 2 sin 1 x f(0) = 0 (1) x ≠ 0 f ′ (x) (2) f ′ (0) (3) f ′ (x) x = 0

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