名校
解题方法
1 . 已知椭圆
的短轴长为2,上顶点为A,左顶点为B,
,
分别是椭圆的左、右焦点,且
的面积为
,点P为椭圆上的任意一点,则
的取值可以为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ff8a5886e42095da57422c8777c10d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59f944a4a8126946a36cef43f74dec2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba0ed7bfe8dd774cfa5d432f108d88a3.png)
A.1 | B.![]() | C.![]() | D.![]() |
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2023-08-24更新
|
724次组卷
|
4卷引用:黑龙江省哈尔滨市尚志市尚志中学2022-2023学年高二上学期12月月考数学试题
黑龙江省哈尔滨市尚志市尚志中学2022-2023学年高二上学期12月月考数学试题(已下线)3.1.2 椭圆的简单的几何性质(AB分层训练)-【冲刺满分】2023-2024学年高二数学重难点突破+分层训练同步精讲练(人教A版2019选择性必修第一册)辽宁省部分名校2023-2024学年高二上学期联考数学试题广东省汕头市潮阳实验学校2024届高三上学期元月阶段测试数学试题
2024高三·全国·专题练习
名校
解题方法
2 .
的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a2ee0520237fd63229ba321c7c4995.png)
您最近一年使用:0次
3 . 已知函数
.
(1)若
,设函数
在
上最小值为
,求
的解析式;
(2)若函数
在
上单调递增,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1652326216e0ee92ddcb76e666e9f50d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf8eca68c4c7478f412183aa275fc7dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3b2856045b940760ebabe6606df19a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b3ae7e5228fd1acb0d46f6941143a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b3ae7e5228fd1acb0d46f6941143a7.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ead3fdcb8fe8f5eb3dbe7d96cabc28b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
4 . 设一组样本的统计数据为:
,其中n∈N*,
.已知该样本的统计数据的平均数为
,方差为
,设函数
,x∈R.则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fe1c31a81f198c443e71b83ca662939.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c7b62cd7388984879b781f08bcbe5c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c85481cd7e94130ef3aa05b4a39e79cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/671f43c79d612c93a6d160335e86e177.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/015381e925eaf7d927f52184a4c93437.png)
A.设b∈R,则![]() ![]() |
B.设a∈R,则![]() ![]() |
C.当x=![]() ![]() ![]() |
D.![]() |
您最近一年使用:0次
2022-04-19更新
|
1620次组卷
|
3卷引用:江苏省泰州市兴化市2022届高三下学期4月模拟考试数学试题
名校
5 .
,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccb543b5827e9bd9ea8b6de52964fb96.png)
(1)当
=1时,求
的最大值,并求此时
的取值.
(2)若
有4个零点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce485410257c9c1fae9d87ce3e44cc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/873b11d898c54bbb81b3bd3a312afb97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccb543b5827e9bd9ea8b6de52964fb96.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-02-25更新
|
726次组卷
|
4卷引用:湖北省荆州市沙市中学2022-2023学年高一下学期2月月考数学试题
名校
解题方法
6 . 已知函数
,其中
且
.
(1)若
且函数
的最大值为2,求实数a的值.
(2)当
时,不等式
在
有解,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7947133101b0fee8f2e51d6ebcb8f82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5d80381a4bee8ea40a2b634117864b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f325cf817aa7ab428aec9d2db1a5bd1c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7a1d739890a8951586e23b78b035bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71607511fdd4faa9e832345ceb2a817d.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7326ea56be82bd616fec7e6aa3c884c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd774e2cb9d7144095ad5d576fb7d9f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/538193a4717d564c01145e82314c2d1a.png)
您最近一年使用:0次
2022-12-18更新
|
1454次组卷
|
4卷引用:湖北省武汉市第六中学2022-2023学年高一上学期第三次月考数学试题
名校
解题方法
7 . 已知
,设函数
,
,
,
,
(1)当
时,求函数
的值域;
(2)记
的最大值为
,
①求
;
②求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5b6ff07eaec5213339b73f6b3247c0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a34b4bf4bba566959635a7982cec6ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6708a7119afcdb688835d3104f1ded21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d6afd1b3aeae1bd415dba90e50c001c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
②求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c972063ebec152ed2153def7e5833a5.png)
您最近一年使用:0次
2022-01-21更新
|
1524次组卷
|
4卷引用:浙江省杭州学军中学2021-2022学年高一上学期期末数学试题
名校
解题方法
8 . 已知函数
.
(1)若方程
有三个不等实根,求实数
的取值范围;
(2)若
,且对
,总
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/283178de54cebd86f7867d1519566119.png)
(1)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb101c5df08aa35ae24a6416840b199b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/259e10b808fa4b7aaf7d26fc72a017b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5560bffff313447919d7a24d2a2a5b53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db37a30cc9c01c37f6f14ba27c898f22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e63bbadc6250f7139836ede33205550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-02-19更新
|
699次组卷
|
4卷引用:贵州省贵阳市普通中学2022-2023学年高一上学期期末监测数学试题
名校
解题方法
9 . 已知函数
是定义域上的奇函数,且
.
(1)令函数
,若
在
上有两个零点,求实数m的取值范围;
(2)已知函数
在
上单调递减,在
上单调递增,令
,
,若对
,
,都有
,求实数t的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/721398b542fe8c6c1c038e9a7e83249c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1a0169e37472db54391a8d175f8b2de.png)
(1)令函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b946a8ec829a341aa6806a3eb0b9ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/837ad23ecd12b529de52678006593fd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0109d06b8be2e402b5ffbb0aeb501009.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6d804ef44bfc64f824b0ccef71765e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a86861cdb5cce6b1bcfbbdafdb6f603b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24196a232eb68b62c42c85a20bbacf6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/673207f6b77b8192d25463d071737b7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18460a96aebeb7b0a9963f476893f30d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5af0b9aebc3254313dcab06eae3534ef.png)
您最近一年使用:0次
名校
解题方法
10 . 已知a,b均为正实数,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be97cd1c7111b654d87d8fbb63b6a84.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2023-11-16更新
|
714次组卷
|
3卷引用:江苏省苏州十中2023-2024学年高一上学期10月月考数学试题