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)
您最近一年使用:0次
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)
您最近一年使用:0次
3 . 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)
您最近一年使用:0次