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[函数] 2018年高三三模试题(导数)

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走走看看 posted 2019-5-3 08:18 |Read mode
Last edited by 走走看看 2019-5-3 20:19$已知函数f(x)=e^x-\frac{1}{2}x^2-ax有两个极值点x_1,x_2(e为自然对数的底数)。$

(I)求实数a的取值范围;

(II)求证$f(x_1)+f(x_2)>2 $。

第一问:a>1,简单。

第二问:标答是要先证明$x_1>-x_2$,问题是怎么知道要这样转换。

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色k posted 2019-5-3 10:22

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original poster 走走看看 posted 2019-5-3 20:22
回复 2# 色k


    $谢谢,看到了。转换一个角度,考察一下x_1+x_2比较自然。$

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