题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113346-59405.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113347-59447.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113347-12012.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113347-81208.png)
(I)求
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113347-59643.png)
(II)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113347-45568.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113348-97885.png)
解析
试题分析:(I)由切点
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113347-12012.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113347-81208.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113348-64636.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113348-35525.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113348-86542.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113348-26092.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113349-72017.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113349-72017.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113349-13656.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113349-20108.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113349-93323.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113350-10295.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113350-39083.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113350-94029.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113350-95125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113350-39083.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113350-61872.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113349-13656.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113347-45568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113351-66448.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113351-84584.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113351-84584.png)
试题解析:(I)函数的定义域为
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113350-39083.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113351-24619.png)
由题意可得,
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113351-37133.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113348-97885.png)
(II)由(I)知,
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113352-23099.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113348-26092.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113349-13656.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113349-20108.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113352-18777.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113352-99209.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113352-37285.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113352-39858.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113353-69070.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113350-10295.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113353-25212.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113353-89263.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113350-10295.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113350-39083.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113350-94029.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113349-93323.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113353-28517.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113354-27224.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113354-70472.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113354-78161.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113354-62792.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113350-95125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113354-68357.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113355-42797.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113350-95125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113350-39083.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113350-61872.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113355-88318.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113355-54900.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113347-45568.png)
【考点定位】1、导数的几何意义;2、利用导数判断函数的单调性;3、利用导数求函数的最值.
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113326-67111.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113327-20401.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113259-21109.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113300-52468.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113300-42976.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113300-62074.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113300-10615.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113301-23630.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113301-73811.png)
(3)若在
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113301-77332.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113301-40277.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113301-66021.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113302-79825.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113240-50243.png)
(1)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113240-34547.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113240-97447.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113240-84499.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113240-52584.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113241-60511.png)
(2)若存在
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113241-37802.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113241-97550.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113226-93928.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113226-92443.png)
⑴ 若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113226-88595.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113226-12385.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113227-70477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113227-32226.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113227-61117.png)
⑵ 若存在
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113227-16323.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113227-74317.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113228-25239.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113214-65523.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113214-61752.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113215-73280.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113214-61752.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017113215-93645.png)
A.1 | B.2 | C.3 | D.4 |
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