1 . 若实数
满足
,则称
比
远离
.
(1)若
比
远离1,且
,求实数
的取值范围;
(2)对任意两个不相等的实数
,证明
比
远离
;
(3)若
,试问:
与
哪一个更远离
?并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d32d4403d0e81eacfbe429dc51f07f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b782dd2de9c9caa840838cd63d817de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5558c083d34cbb0a58d3ce1dc6f5778e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)对任意两个不相等的实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17b0bcc077bc78b7aae05b0c9dff42b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb3f034eb004e6db6c58a3bcd7d18cfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f0281e6bbdbe08beeccb55adf84536.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45900deae0489e87fe448948e8091c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ebc856291255f2d4a6c20b982a2442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
您最近一年使用:0次
2023-08-08更新
|
244次组卷
|
2卷引用:江苏省盐城市阜宁县2022-2023学年高一上学期期中数学试题
解题方法
2 . 已知函数
在
上单调递减.
(1)求实数
的取值范围;
(2)当实数
取最大值时,方程
恰有二解,求实数
的取值范围;
(3)若
,求证:
.(注:
为自然对数的底数)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29b8744c94d54246ce023e8a88b998c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d303edb2b74f0152e9da9e0b77a1ca37.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f826c4322fdbf0838670d917f7735e89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f86f9b0f357d6166ebc79012bf88706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55278cd8cbc74b25a26141e20fe78e16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9003a22f3bfbdc2dba7869c0f7d54c8c.png)
您最近一年使用:0次
名校
解题方法
3 . 如图所示为一个半圆柱,
为半圆弧
上一点,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/a4bf1bc1-bee0-46d6-83c9-71497aa77f09.png?resizew=124)
(1)若
,求四棱锥
的体积的最大值;
(2)有三个条件:①
;②直线
与
所成角的正弦值为
;③
.请你从中选择两个作为条件,求直线
与平面
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2395720e6d6aeb7efdcd8e921849acf4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/a4bf1bc1-bee0-46d6-83c9-71497aa77f09.png?resizew=124)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a65b94de267eb6858634181642c65c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80c753cb1eb73fd8d136d00462970797.png)
(2)有三个条件:①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3b0f78a8003789a66fa4cb38a84858c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411f35f7181f79573bbfab44ea77ff1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62871bb0dff211fc3bd80f9066c25b29.png)
您最近一年使用:0次
2021-01-02更新
|
1642次组卷
|
5卷引用:江苏省南京市秦淮中学2021届高三下学期期初学情调研数学试题
江苏省南京市秦淮中学2021届高三下学期期初学情调研数学试题T8联考八校2020-2021学年高三上学期第一次联考数学试题(已下线)专练11 空间向量与立体几何综合检测(A卷)-2021-2022学年高二数学上册同步课后专练(人版A版选择性必修第一册)2023版 湘教版(2019) 选修第二册 过关斩将 第2章 空间向量与立体几何山东省济宁市育才中学2022-2023学年高二上学期第一次学情检测数学试题
4 . 若实数
、
、
满足
,则称
比
远离
.
(1)若
比
远离1且
,求实数
的取值范围;
(2)设
,其中
,求证:
比
更远离
;
(3)若
,试问:
与
哪一个更远离
,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17d41b744a89e1a50c96ca75bf090830.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5558c083d34cbb0a58d3ce1dc6f5778e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36ea5e8fdf104e1cc8348c13a3cd1610.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e00794e0df0c62a91e4b7051b2e63da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45900deae0489e87fe448948e8091c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ebc856291255f2d4a6c20b982a2442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
您最近一年使用:0次
2020-07-16更新
|
1496次组卷
|
9卷引用:第3章 不等式 单元综合检测(基础过关)(单元培优)-2021-2022学年高一数学课后培优练(苏教版2019必修第一册)
(已下线)第3章 不等式 单元综合检测(基础过关)(单元培优)-2021-2022学年高一数学课后培优练(苏教版2019必修第一册)第3章 不等式(章末测试提高卷)-2021-2022学年高一数学同步单元测试定心卷(苏教版2019必修第一册)上海市进才中学2019-2020学年高二下学期期末数学试题上海市崇明区2020-2021学年高一上学期期中数学试题上海市崇明中学2021届高三上学期期中数学试题(已下线)专题08 一元二次函数、方程和不等式中的压轴题(二)-【尖子生专用】2021-2022学年高一数学考点培优训练(人教A版2019必修第一册)(已下线)专题02 等式与不等式(模拟练)(已下线)上海高一上学期期中【压轴42题专练】(2)(已下线)高一上学期第一次月考解答题压轴题50题专练-举一反三系列