名校
1 . “求方程
的解”有如下解题思路:设
,则
在
上单调递减,且
,所以原方程有唯一解
,类比上述解题思路,不等式
的解集是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49cfb1e9557770560280b5248ae2d0d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/570ae76599e821173f4a5905e54e41c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9da4fdfdddc259dcef9fdd4b826b64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbada0ea09c57a2c3d3e2e5141d4645e.png)
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2018-03-04更新
|
247次组卷
|
5卷引用:北京市第四中学2018届高三第一次模拟考试(一模)仿真卷(A卷)文科数学试题
(已下线)北京市第四中学2018届高三第一次模拟考试(一模)仿真卷(A卷)文科数学试题2020届宁夏六盘山高级中学高三下学期第二次模拟考试数学(理)试题湖北省沙市中学2018届高三1月月考数学(文)试题(已下线)2018年高考二轮复习测试专项【苏教版】专题九 算法 推理与证明 复数【全国百强校】黑龙江省大庆第一中学2017-2018学年高二下学期第三次阶段检测数学(理)试题
名校
解题方法
2 . 已知函数
的导函数为
,且对任意的实数
都有
(
是自然对数的底数),且
,若关于
的不等式
的解集中恰有两个整数,则实数
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32eeafa5d0d9486a0977f6397ca5dcf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51eb2613dda00677d447c986cac505bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4695e7ce5d4fbedb2ba790f70af0224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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3 . 已知函数
.
(1)求
,
;
(2)求
在区间
上的最大值和零点.
解:(1)求
______;
______;
(2)因为
,所以
,
所以当
______;即
______时,
取得最大值,为______;
由
和
得
,
,
所以
在区间
上的零点为______.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e700a7374e42cf71db7c7b2ded5cd2df.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d62ddbb913432ea8d72ecf7fa38f7c35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ecd5f251e8a94a611cc98d239ff9575.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c993caf22cc0a9d3834daa57d07695c7.png)
解:(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7cca5e50ce06e7c0e7effee4b5167a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5a2758a8127e14b5e5357ec19a3f920.png)
(2)因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d01282e80562ddbb74f7207ae04794e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cb3cc36c5ee55457a8fb6d1335d4e76.png)
所以当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/649b00ea05d7fa901d162d61abc5e2fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
由
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cb3cc36c5ee55457a8fb6d1335d4e76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a27e065e1eb081abb94488daff61a77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb2133a8576a013055f8fab50f52c215.png)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c993caf22cc0a9d3834daa57d07695c7.png)
空格序号 | 选项 |
① | A.![]() ![]() |
② | A.![]() B. ![]() |
③ | A.![]() ![]() ![]() ![]() |
④ | A.1 B.![]() |
⑤ | A.![]() ![]() |
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