1 . 设函数
.
(1)求
的单调区间;
(2)若对于任意
,
,都有
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/000bfcf24c75812200599d5e1142f5f9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/204e6006eacca1a448fe6991f3c121f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ceee119d49a681a67fcfcfa3ae539d1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
2 . 已知椭圆
过点
.
(1)求
的离心率;
(2)若
是
的左焦点,
分别是
的左、右顶点,
是
上一点(
不与顶点重合),直线
交
轴于点
,且
的面积是
面积的
倍,求直线
的斜率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ae67a70838495508df9d02eae7c5a3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00442d96d695db2c58bf1fb7165fca94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9399c9a2a31b0e3165aea2d6ccc4f7c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c27854b5d03d8f098be52a77ce283a1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/155cf439be44485d5ed90832076a6dce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feb16d1089cf194d658387742e1c2a93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9399c9a2a31b0e3165aea2d6ccc4f7c9.png)
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2023-12-20更新
|
144次组卷
|
2卷引用:福建省龙岩市名校2023-2024学年高二上学期期中考试数学试题
名校
3 . 已知函数
,满足
是奇函数,且不存在实数
使得
.
(1)求
;
(2)若方程
恰有两个实根
,求实数
的范围并证明
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49ddb1b9d0097e3acf3ebb0f93e18773.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47e2302295333e96f24e328bc4e1f9dd.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1def7a94537d0d899ad274ff0c19df8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca579894dad67bc82cb715fd48e0d70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd13be79f23d9ba8b9cd1fa1a5ceb5c6.png)
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名校
4 . 已知函数
的定义域是
,对
,都有
,且当
时,
,且
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6571b33b56c6cd88f2f6e091031bcf40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25bea6d14c16f7c06e4e028f36131360.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1947266214c98cfdeea15425a47de17.png)
A.![]() |
B.函数![]() ![]() |
C.![]() |
D.满足不等式![]() ![]() ![]() |
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名校
解题方法
5 . 已知数列
的前
项和
,数列
是首项和公比均为2的等比数列,将数列
和
中的项按照从小到大的顺序排列构成新的数列
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4300dca231e2f4b37f70900b33439d5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
A.![]() | B.数列![]() ![]() ![]() ![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-12-17更新
|
662次组卷
|
3卷引用:福建省厦门第一中学2023-2024学年高二上学期十二月月考数学试卷
名校
解题方法
6 . 已知函数
是定义域为
的奇函数,且
.
(1)求
的值,并判断和证明
的单调性;
(2)是否存在实数
,使函数
在
上的最大值为
,如果存在,求出实数
所有的值;如果不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/938c6c05523930bb5c3047e9ef8212cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56fbec93189276445b83c6df4e9f4866.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/336b9a4ab6dcca0a3d03a9a47476309e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4031165344bfe00d56be6a07243cf27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
7 . 有2024个半径均为1的球密布在正四面体
内(相邻两球外切,且边上的球与正四面体的面相切),则此正四面体的外接球半径为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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名校
8 . 设
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fb8a7f5f3d4df91bd641e7a3247f79e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
9 . 已知数列
满足
,
,下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/352d9b76dcf639368fa68cae70149802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fcc7acfbd59dad3c759c1694f291bdf.png)
A.![]() |
B.![]() ![]() ![]() ![]() |
C.![]() ![]() |
D.记![]() ![]() ![]() |
您最近一年使用:0次
2023-12-14更新
|
612次组卷
|
3卷引用:福建省泉州市泉港区第二中学2024届高三上学期第三次月考数学试题
名校
解题方法
10 . 定义在R上的连续函数
满足
为偶函数,当
时,
,其中
是
的导数.若关于x的不等式
恒成立,则实数a的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d0e9cd42a043be4c6e552c6cf4cbdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/081bacc0d44c2364d47cc7209bc8d8f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090a91e4f3c8930674f98a9fa527709b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43ee1ff3901835dd105f4fba734fb41c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-12-14更新
|
1046次组卷
|
8卷引用:福建省南平第一中学2023-2024学年高二上学期第三次月考数学试卷
福建省南平第一中学2023-2024学年高二上学期第三次月考数学试卷陕西省安康市高新中学2023-2024学年高三上学期12月联考(全国乙卷)理科数学试题(已下线)第五讲:化归与转化思想【讲】高三清北学霸150分晋级必备黑龙江省鸡西市第一中学校2024届高三上学期期末数学试题(已下线)第五章 一元函数的导数及其应用(压轴题专练,精选34题)-2023-2024学年高二数学单元速记·巧练(人教A版2019选择性必修第二册)(已下线)重难点2-3 原函数与导函数混合构造(10题型+满分技巧+限时检测)-2(已下线)导数专题:导函数与原函数混合构造(10大题型)-2023-2024学年高二数学题型分类归纳讲与练(人教A版2019选择性必修第二册)(已下线)专题5 抽象函数构造解函数不等式问题【练】(高二期末压轴专项)