名校
1 . 已知
且函数
.
(1)当
时,
,求
的取值范围;
(2)设
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/939ac0996456ee02981f9a1449308d0f.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2fb40a36a293471742ce75f6b9635b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930bc56406e69b785b37a83d48e36724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4af18680d28fac8685872642bfb9f366.png)
您最近一年使用:0次
名校
2 . 已知函数
,
.
Ⅰ
当
时,讨论函数
的单调性;
Ⅱ
若函数
有两个极值点
,
,且
,求证
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a54d0a24a4255288620cd8d1c820b03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4ebfef550eec07598671c5929259780.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4901e166950982904f9720a258ec3f15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/040135d64192de075ba0cc9f11ddbc9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaa33c2bd791339d32821077846605d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d6fe150b0a721696c8c063999ba38d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5988baee08308b60e00a50679d746018.png)
您最近一年使用:0次
2019-04-10更新
|
867次组卷
|
5卷引用:【市级联考】内蒙古呼和浩特市2019届高三3月第一次质量普查调研考试数学(理)试题
解题方法
3 . 已知函数
(
且
)的零点是
.
(1)设曲线
在零点处的切线斜率分别为
,判断
的单调性;
(2)设
是
的极值点,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17df04e44071ea7a112457552f8c3e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
(1)设曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90963760acac7bfad3ae03088c6c80b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b69e3f7ddd51215d00661c09cd900d60.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31cdc61764eef3fbe2dc5fafaa2efb39.png)
您最近一年使用:0次
名校
4 . 已知
若
恰有两个实数根
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a9cc60d36471ca20951e685a61110d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eacfb2a6f3595618bb5f698e326afc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450398974b1561ca801e102e16df6789.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-05-17更新
|
574次组卷
|
3卷引用:2020届内蒙古呼和浩特市高三第一次质量普查调研考试理科数学
解题方法
5 . 已知函数
.
(1)求证:
;
(2)函数
,有两个不同的零点
,
.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/795d5a268c1052d9e34b7b57e0719950.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce0c5c350e878bb52c2997f29da230b3.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/6fa6bae4c1d5d2d92effd98b8c40dd5f.png)
您最近一年使用:0次
2020-11-22更新
|
529次组卷
|
2卷引用:内蒙古呼和浩特市2021届高三质量普查调研考试理科数学试题
名校
6 . 已知函数
,若存在唯一的正整数
,使得
,则
的取值范围为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8562da23a612efc96303c91070cc3de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5eb2317908223dbeaa9a94bb2f7824c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2017-12-15更新
|
1455次组卷
|
6卷引用:内蒙古呼和浩特市2018届高三11月质量普查考试数学(理)试题
名校
解题方法
7 . 若复数
,则当
时,复数
在复平面内对应的点在( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af55f94e2a9749d0cfd1bffea4e2a253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/612fd36aeb83099c4644c076db691612.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
A.第一象限 | B.第二象限 | C.第三象限 | D.第四象限 |
您最近一年使用:0次
2020-05-01更新
|
536次组卷
|
4卷引用:2020届内蒙古呼和浩特市高三下学期第一次普查调研考试数学(文)试题
解题方法
8 . 定义在
上的函数
满足
,且
,则
的解集为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab5e0524def52baf53480b8726784ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71833eb40945124e179056d05327ec1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3471484b64504fc545398f52be830010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
您最近一年使用:0次
名校
9 . 设点
为函数
与
图象的公共点,以
为切点可作直线
与两曲线都相切,则实数
的最大值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c72f4e7d1d12b3a8cada66f559e61fe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79ed5b7d07dfa7596f293a45369568f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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2017-10-07更新
|
1397次组卷
|
5卷引用:内蒙古呼和浩特市2023届高三第一次质量数据监测理科数学试题
内蒙古呼和浩特市2023届高三第一次质量数据监测理科数学试题江苏省常州市横林高级中学2017~2018学年第一学期月考高三理科数学试卷(已下线)2.2导数的应用[文] -《备战2020年高考精选考点专项突破题集》(已下线)专题04函数与导数(选择填空题3)上海市宜川中学2022-2023学年高二下学期数学期末模拟测试卷2
名校
解题方法
10 . 已知
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b9851f33f793673948d2a40ed25914f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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