1 . 已知函数
.
(1)求曲线y=f(x)在点(1,f(1))处的切线方程;
(2)若函数
在区间(2,3)中至少有一个极值点,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/775cd15078762cf6bece783bf99fc366.png)
(1)求曲线y=f(x)在点(1,f(1))处的切线方程;
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3f9d1b5793110806e61069aca890288.png)
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2 . 已知数列
满足
,
;
(1)设
,求证:数列
是等比数列;
(2)求数列
的通项公式;
(3)设
,求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3998df04d0a8ded946c3f39d545fdc7e.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c07cefac60bb3fcde0bded804501c90b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22761709d37f9a2efaa8456e2dbdb054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ef4c4439b36c2847b0056a116d56d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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解题方法
3 . 给出下列说法:
①数列
,
,
,
,
…的一个通项公式是
;
②当
时,不等式
对一切实数x都成立;
③函数
是周期为
的奇函数;
④两两相交且不过同一点的三条直线必在同一个平面内.
其中,正确说法序号是_________ .
①数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30b12efb03327f461e868b2ea433f9b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ce0249a3ff99c083fa4421877549db1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adbd3e8cf8325999cde03adf845d3dd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf4e57a8023222d2cdf88fad75ac496.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47212543d8a4ecf45f9509fe5ab8733b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b6d03dfc5b4ce38e17403b3b49fdc15.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8250a1f5d4211d5dc1f47e1855245916.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
④两两相交且不过同一点的三条直线必在同一个平面内.
其中,正确说法序号是
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4 . 已知椭圆C:
的右焦点坐标为
,且点
在C上.
(1)求椭圆的方程;
(2)过点
的直线l与C交于M,N两点,P为线段MN的中点,A为C的左顶点,求直线AP的斜率k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b26d1b84ffffb01daebfd1a425fc16ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edaef66a0582e95fb5c57a405acdea9a.png)
(1)求椭圆的方程;
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
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解题方法
5 . 设函数
.
(1)当
时,求曲线
在点
处的切线方程;
(2)若
时,不等式
恒成立,求a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a422aed46379410b802da5fc821b36.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
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6 . 若
是函数
的极值点,函数
恰好有一个零点,则实数m的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67749587fbcdf3d1780cf3372c6171a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b946a8ec829a341aa6806a3eb0b9ff.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2020-03-13更新
|
713次组卷
|
2卷引用:2015年四川省普通高中学业水平测试试题