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 . 观察等式:
,
,
,
.若第n个等式为
,则满足不等式
恒成立的最大正整数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3a15f23efc7db722ad87ee360ef473f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14b7665d2244278da84dc45faa6aee42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3607f7acce2d96f68b873a6dbfc764b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e9a899d7712fa083a7394274e922b48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a578beee81589d07171b832612fcf90f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7b151edf935e6bb32ad523e826a9451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
A.5 | B.6 | C.7 | D.8 |
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3 . 设
:二次函数
的图象恒在x轴的上方,
:关于
的方程
的两根都大于-1,则
是
的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/622ced3b0212a33aa8edbd272f1ac1c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a16e230ebb1ee830579ce2ea82f64492.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
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4 . 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.
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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
5 . 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
6 . 不等式
的解集为
,则函数
的图象为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6e3b531cca4299d3ba9c6fbdeacf14a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe2283d104437709bc336d139789251.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aa3ea141a4deb8146ce96dde8b4c06.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2021-10-13更新
|
1065次组卷
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5卷引用:河南省濮阳市第一高级中学2021-2022学年高二上学期期中质量检测数学(理)试题
河南省濮阳市第一高级中学2021-2022学年高二上学期期中质量检测数学(理)试题河南省豫西名校2021-2022学年高一上学期第一次联考数学试题广东省肇庆市德庆县香山中学2022-2023学年高一上学期期中数学试题(已下线)3.3.1 从函数的观点看一元二次方程(已下线)必修第一册综合检测(基础)-【优化数学】单元测试基础卷(人教A版2019)
名校
解题方法
7 . 二次函数
在区间
上单调递增的一个充分不必要条件为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a12e04dcaf2cde31b57e86a3b41f471.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65d8fcaef916db4b90e9ce3054974759.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2021-09-24更新
|
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13卷引用:河南省驻马店市第一高级中学2021-2022学年高二上学期期中考试数学(文)试题
河南省驻马店市第一高级中学2021-2022学年高二上学期期中考试数学(文)试题河南省驻马店市第一高级中学2021-2022学年高二上学期10月月考数学(理)试题辽宁省沈阳市重点高中2021-2022学年高一上学期期中数学试题湖北省宜昌市葛洲坝中学2021-2022学年高一上学期期中数学试题河南省南阳市第一中学校2022-2023学年高一上学期第一次月考数学试题黑龙江省齐齐哈尔市恒昌中学校2022-2023学年高一上学期期中考试数学试题黑龙江省牡丹江市第一高级中学2022-2023学年高一上学期期中数学试题湖南省邵阳市洞口县第二中学2023-2024学年高二上学期第一次月考数学试题贵州省贵阳修文北大新世纪贵阳实验学校2022届高三9月月考数学(文)试题(已下线)专题01 集合与常用逻辑用语(测)-2023年高考数学一轮复习讲练测(全国通用)广西玉林市第十一中学2022-2023学年高一上学期10月月考数学试题(已下线)第一章 集合与常用逻辑用语-【优化数学】单元测试能力卷(人教A版2019)(已下线)专题01 集合与常用逻辑用语、复数(讲义)
名校
解题方法
8 . 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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9 . 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)
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2019-10-11更新
|
457次组卷
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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
10 . 在
中,角
,
,
的对边分别为
,
,
,若
,且
恒成立,则
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b213163be14061475a95b61fdf5552.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05aa317a8fed09efbb21badaa81169b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2019-03-15更新
|
1951次组卷
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4卷引用:河南省实验中学2019-2020学年高二上学期中数学(文)试题