题目内容
(本小题满分12分)
已知函数,
(1) 若,,且的定义域是[– 1,1],P(x1,y1),Q(x2,y2)是其图象上任意两点(),设直线PQ的斜率为k,求证:;
(2) 若,且的定义域是,.
求证:.
【答案】
(1),证明略。
(2),证明略。
【解析】证明:(1) ∵
∴ c = a + b + c
∵ a = 1
∴ b = – 1
∴
∵
∴
又∵
∴
当且仅当时,k = 2(∵)
∴ ············································································· 7分
(2)
∴
[来源:]
∴
∴ ························································ 12分
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