来自杜鹃的问题
定义域为R的偶函数y=f(x),当x大于0时,f(x)=Inx-ax.若y=f(x)恰有个5不同的零点,则实数a的取值范围是：
定义域为R的偶函数y=f(x),当x大于0时,f(x)=Inx-ax.若y=f(x)恰有个5不同的零点,则实数a的取值范围是：
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2020-04-11 03:56
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牛征
由y=f(x)为偶函数,个5不同的零点
f(0)=0
区间(0,正无穷大)中有2个零点
即区间(0,正无穷大)上
f(x)=lnx-ax
f'(x)=1/x-a
当区间(0,正无穷大)上f(x)有一个零点时
满足方程组：
1/x-a=lnx-ax=0
a=1/e
又h(x)=lnx的二阶导数小于0
故当
负无穷
2020-04-11 04:01:10
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