设函数f(x)=1ax,0≤x≤a11-a(1-x),a<x≤1常数且a∈(0,
题型:解答题
问题:
设函数f(x)=
(1)当a=
(2)若x0满足f(f(x0))=x0,但f(x0)≠x0,则称x0为f(x)的二阶周期点,试确定函数有且仅有两个二阶周期点,并求二阶周期点x1,x2; (3)对于(2)中x1,x2,设A(x1,f(f(x1))),B(x2,f(f(x2))),C(a2,0),记△ABC的面积为s(a),求s(a)在区间[
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设函数f(x)=
(1)当a=
(2)若x0满足f(f(x0))=x0,但f(x0)≠x0,则称x0为f(x)的二阶周期点,试确定函数有且仅有两个二阶周期点,并求二阶周期点x1,x2; (3)对于(2)中x1,x2,设A(x1,f(f(x1))),B(x2,f(f(x2))),C(a2,0),记△ABC的面积为s(a),求s(a)在区间[
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