题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043626-95279.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043626-87135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043626-77781.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043627-44597.png)
(Ⅰ)求实数
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043627-91956.png)
(Ⅱ)直线
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043627-19325.png)
①
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043627-19325.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043626-77781.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043627-60462.png)
②
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043627-19325.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043628-28193.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043628-87994.png)
求实数b的取值范围.
答案
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043628-97396.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043628-40240.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043628-25402.png)
(2)根据条件(1)可确定l:
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043629-62745.png)
根据条件(2) 直线
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043627-19325.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043629-54236.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043629-84719.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043629-35503.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043627-19325.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043629-33027.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043627-19325.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043628-97396.png)
然后根据两个方程为同解方程可得到方程组
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043629-40057.png)
然后转化为
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043630-91226.png)
解:(Ⅰ)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043630-99423.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043630-56453.png)
由已知,
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043630-10567.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043631-27612.png)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043631-54559.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043631-36347.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043631-11844.png)
函数
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043631-99691.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043627-60462.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043627-19325.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043629-62745.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043632-41794.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043627-19325.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043629-54236.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043629-84719.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043629-35503.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043632-48198.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043627-19325.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043632-91713.png)
故切线
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043627-19325.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043629-33027.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043627-19325.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043628-97396.png)
得
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043632-88135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043632-43477.jpg)
所以实数b的取值范围是
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043628-40240.png)
核心考点
试题【已知函数是函数的极值点,其中是自然对数的底数.(Ⅰ)求实数的值;(Ⅱ)直线同时满足:① 是函数的图象在点处的切线,② 与函数的图象相切于点.求实数b的取值范围.】;主要考察你对函数的相关概念等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043604-93450.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043605-92977.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043605-29814.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043605-92485.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043605-92389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043604-93450.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043606-61027.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043606-33082.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043606-14124.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043607-70999.png)
A.![]() | B.![]() | C.![]() | D.![]() |
求函数
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043554-86523.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043555-30712.png)
已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043510-23515.png)
(Ⅰ)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043510-80933.png)
(Ⅱ)对于曲线上的不同两点
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043511-97647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043511-13397.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043511-83873.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043511-75588.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043512-11943.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043512-75912.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043512-11943.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043512-45526.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043512-45170.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043512-20094.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043512-11943.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043512-45526.png)
(ⅰ)求证:曲线
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043513-36713.png)
(ⅱ)是否存在曲线C,使得曲线C的任意一条弦均有
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043513-84890.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043458-82220.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043458-97017.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043459-79729.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043459-27676.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043459-83720.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043459-97912.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043500-78920.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043500-95236.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043500-35685.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043500-99034.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043449-69947.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205043450-96530.png)
A.0 | B.1 | C.3 | D.4 |
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