已知函数
,
.
(1)求函数
的单调区间和极值;
(2)若方程
有三个解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c89c3e67c20ad0458e3a8071e8fb76b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfcdb580d8da569370be4711b52bcbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
19-20高三下·重庆沙坪坝·阶段练习 查看更多[5]
重庆市南开中学2020届高三下学期3月月考数学(文)试题陕西省西安市蓝田县2020届高三上学期期末数学(理)试题陕西省西安市蓝田县2020届高三上学期期末数学(文)试题(已下线)第23讲 零点问题之三个零点-突破2022年新高考数学导数压轴解答题精选精练(已下线)专题09 函数零点问题的综合应用-1
更新时间:2020-03-21 18:14:04
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解题方法
【推荐1】已知函数
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(1)若函数
的图象在
处的切线为
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(2)若
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40a42b616781135e2701ad43d3c3ef05.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3789c91f7239ca3006810b9b7082ec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解答题-证明题
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较难
(0.4)
【推荐2】已知函数
.
(1)当
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的极值;
(2)若
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.
(i)求实数
的取值范围;
(ii)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a3749829306515d1855ec563c8b30ae.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c547c64dc542c2d192a6ece476fc9bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/985e43ac05e792084db334adb51f8cdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
(i)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(ii)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86300c4037b0cca9b8e1107858438dcd.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5853dc3ca47b32a20250683758f117c.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed1a53c238019d817798083ff3b479f6.png)
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【推荐2】已知函数
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有唯一实数解,试求实数
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(3)若函数
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的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/befac1029e00acdf5c2392165a4358d7.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9af6b8933cb0bcc983a15c903b5892e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db40d5295942e85ec07a3728c7ad308d.png)
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(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/302337058242c7b78e3eb4ac7210b7ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cadfb0d2814858fdbd1518928cca4bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f6bfdb24ecf5da863405c2b40936ff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/040135d64192de075ba0cc9f11ddbc9a.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/802be59f6ebb2ea93cbe27cc7e2bf7a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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