调递减.(II)由(I)知,a2.xx2因为fx1fx2x1x21al
x1l
x2,所以x1x2fx1fx21l
xl
x2k1a1x1x2x1x2x1x2l
xl
x2又由I知,x1x21.于是k2a1x1x2l
x1l
x2若存在a,使得k2a则1.即l
x1l
x2x1x2.亦即x1x21x22l
x20x21x21再由(I)知,函数htt2l
t在0∞上单调递增,而x21,所以t11x22l
x212l
10这与式矛盾.故不存在a,使得k2ax21
3当a2时0gx0的两根为x1
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