已知函数
.
(1)求曲线
在点
处的切线方程;
(2)当
时,证明:函数
在
上有两个不同的零点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57326a8edd0e0e53a31135427cc3c20c.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d03fa8f5a701a2a61c1b902963bf88d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
22-23高二下·陕西渭南·期末 查看更多[2]
陕西省渭南市富平县2022-2023学年高二下学期7月期末理科数学试题(已下线)专题1.8 导数的零点问题(强化训练)-2023-2024学年高二数学下学期重难点突破及混淆易错规避(人教A版2019)
更新时间:2023-07-11 19:52:30
|
相似题推荐
解答题-问答题
|
适中
(0.65)
【推荐1】已知函数
.
(1)当
时,求曲线
在点
处的切线方程;
(2)求
的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34850ed03e48081f2453632b42409d07.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
名校
解题方法
【推荐2】已知函数
,其中
为常数.
(1)若曲线
在
处的切线在
轴上的截距为2,求
的值;
(2)若
有两个极值点
,
(
),求
的取值范围,并比较
与
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5b2007aa60af24ee3cd8887366c9074.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c6875d552e9fff3c7d655f3a59b166.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1b46d4e04582cf1dd47d151d9466849.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6cba4b9433f89ddaf86a2d57497728e.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
名校
【推荐1】已知函数
有两个零点
和
.
(1)求实数a的取值范围;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae9de719dcc4468ca5b923581a63a0c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9ae87592f6f279b6b75a391d6a078fd.png)
(1)求实数a的取值范围;
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc8e04e76598f3b1e611a0c9281f460a.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
名校
【推荐2】已知函数
,其中
.
(1)若
的极小值为-16,求
;
(2)讨论
的零点个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fda2c3b9004e2655f9cbed4b6bcb033.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be466586da8810ccfd811c59a747adb8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐3】已知函数
.
(1)求
的单调区间;
(2)令
(a为常数),若
有两个零点
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eefff311c53735b4abeda021c70dac94.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8f9065dd867b88ffd6cf7a1919f8989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca579894dad67bc82cb715fd48e0d70.png)
您最近一年使用:0次