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1 . 已知函数f(x)=mx3+x﹣sinx(m∈R).
(1)当m=0时,(i)求y=f(x)在(
,f(
))处的切线方程;
(ii)证明:f(x)<ex;
(2)当x≥0时,函数f(x)单调递减,求m的取值范围.
(1)当m=0时,(i)求y=f(x)在(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de12bbd5097debc83d6a46364589748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de12bbd5097debc83d6a46364589748.png)
(ii)证明:f(x)<ex;
(2)当x≥0时,函数f(x)单调递减,求m的取值范围.
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2卷引用:【市级联考】山东省德州市2019届高三上学期期中考试数学(理)试题
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2 . 已知函数
.
(1)若
,求曲线
在点
处的切线方程;
(2)若对任意
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d34eb304f06ff1e189e08b8830f6cbb5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c887da0c850acf41ab249cc262ae39.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9fadf24c93e305ce501b434beae5d1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2017-04-13更新
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3卷引用:2017届青海省西宁市高三下学期复习检测一(一模)数学试卷