解题方法
1 . 已知
,且
,
:函数
在区间
上是减函数;
:方程
表示离心率大于2的双曲线.如果“
”为假,“
"为真,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/189984854c1c82f63ab5f735d32daa6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85a1f815b0e0b6516b684a93e1850667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423db9ff20877e08b9ea37df4bd09b17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13472bf0353e16784a22e1f890fba40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f675824e539f50cec53120959d32e554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2 . 已知p:函数
在区间
上不是减函数;q:
.
(1)若“p且q”为真,求实数a的最大值;
(2)若“p或q”为真,“p且q”为假,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54348af141f4025b4535de3c24509051.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45356bd49fec08c2a8761ec1f01a6d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50dfb92ee259d075e9e5b80267870a18.png)
(1)若“p且q”为真,求实数a的最大值;
(2)若“p或q”为真,“p且q”为假,求实数a的取值范围.
您最近一年使用:0次
2021-12-23更新
|
578次组卷
|
2卷引用:河南省永城市第一高级中学2021-2022学年高二上学期期中考试数学(理)试题
解题方法
3 . 二次项系数为
的二次函数
满足
,其图象与
轴的两个不同交点分别为
,
与
轴交于点
.
(1)当
,
,
不共线时,求实数
的取值范围;
(2)在(1)的条件下,求经过
,
,
的圆
的方程;并判断圆
是否经过定点?若是,请求出定点坐标;若不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0778b0ca91abc0d97e4401bdc7bcf04e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ac8cdda4f66904b6e2676689c40dbde.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)在(1)的条件下,求经过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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解题方法
4 . 已知函数
.
(1)当
时,求
的最小值
;
(2)是否存在实数
,
同时满足下列条件:①
;②当
的定义域为
时,其值域为
.若存在,求出
,
的值,若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d48ad5060480bae6eea47353f7e3af9b.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c4d001c51cf7b47102f641ded56b01b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e51a162f93394e5639834ad417a69b31.png)
(2)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4347311d24377937dbe6ae4b032facd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e51a162f93394e5639834ad417a69b31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db527571cfd256c515424c6f9d114284.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46d928a127a19d207473df45303c9b17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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5 . 已知函数
.
(1)若函数
在
单调递减,求实数
的取值范围;
(2)若对任意实数
,不等式
恒成立时
的取值集合记为
,
,且
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0c6a9b03dc3bfd80e902765d1e5e229.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a248e47163191168a1b363937eebd618.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若对任意实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/262d7da8f17131eef23addd1854b170d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/048047cdf4ce1d125300be075863b2a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2019-10-11更新
|
457次组卷
|
3卷引用:河南省驻马店市上蔡县衡水实验中学2022-2023学年高二上学期期中文科数学试题
名校
6 . 设
,
或
,
;
函数
在
上为增函数,若
”为假,且“
”为真,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f892e83bf4adcad3136d7842544124f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/802c65ce390269222201e549746689a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71df954531b87ae337c5d9a77fdbe37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b5f228a6c6a2737ff1e899decb13e85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4348004a57d7afd16fb257ec27baee5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/521292359d9f1e7d68d1386acc73b093.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/094543346d88c4ed45c1b1fb91f5265b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d426f0f57b67c00ab87e81c9d1d5ef1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2019-02-14更新
|
875次组卷
|
4卷引用:河南省郑州外国语学校2019-2020学年高二上学期期中数学试题
解题方法
7 . 已知函数
.
(1)试求
在区间
上的最大值;
(2)若函数
在区间
上单调递增,试求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/578e88e38756465220f3af487fb251d5.png)
(1)试求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a3aead1144a86bc3f0e8b1437abd4ef.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16386964e0008dfda8e74ccbc8817c8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76fa4875df1a715b88cd65e14cfa786c.png)
您最近一年使用:0次
2016-12-04更新
|
340次组卷
|
2卷引用:2015-2016学年河南省林州一中高二上期中理科数学试卷