名校
1 . 点列,就是将点的坐标按照一定关系进行排列.过曲线C:
上的点
作曲线C的切线
与曲线C交于
,过点
作曲线C的切线
与曲线C交于点
,依此类推,可得到点列:
,
,
,…,
,…,已知
.
(1)求数列
、
的通项公式;
(2)记点
到直线
(即直线
)的距离为
,求证:
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c904567c3b3734e1eca8d042ef7a7b2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec391f08f1452fb3e0aebe7e12ba4fb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3a4422395ca20fe847419ec569e48b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eddbde5d269189fced4cc478908a6866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec391f08f1452fb3e0aebe7e12ba4fb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3a4422395ca20fe847419ec569e48b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eddbde5d269189fced4cc478908a6866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb9979465ce76b8582067703b39a0bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a60302649eb940748da818199e55da.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/086e9b14c35ef3c57b20f5e952ebf9c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36460040ddea4761eee10d537b14a1f6.png)
(2)记点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29a5b0f908cdae073db61be5b42fbcf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c93f04dcabdafec74f98f4a1f4faa3fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82e260b088f071983f254ce8f5163fcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3db2da4189bf5f95ae10e6b96ee4b72e.png)
您最近一年使用:0次
名校
2 . 已知函数
,常数
.
(Ⅰ)若
,过点
作曲线
的切线
,求
的方程;
(Ⅱ)若曲线
与直线
只有一个交点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a9848f12a2eab18c82c236bba1cae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffa116f6bbbac1a974976511c5d0b3e7.png)
(Ⅰ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec62f2635e41acdbfbe10869b926e4c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28a46168038fc09494797568f445d6e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9957f52a4f4a424e522d0afb0bbcdabb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9957f52a4f4a424e522d0afb0bbcdabb.png)
(Ⅱ)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28a46168038fc09494797568f445d6e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/721a35a70ff17001377390a8e3cef4ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b331bbdd68d110681fc4547748b93bb.png)
您最近一年使用:0次
2017-07-23更新
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506次组卷
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11卷引用:2015届吉林省长春市普通高中高三质量监测三文科数学试卷
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