名校
解题方法
1 . 已知函数
.
(1)已知
的定义域为
的定义域为
,试求
和
;
(2)已知命题
:关于
的不等式
的解集是
,命题
:函数
的定义域为
,如果
有且只有一个为真命题,试求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/722194b673b4421762e37ae36b9eb0fc.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0209a9478388740c58f0ad060f723aea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0fd219f4f884ed3ae53ab6703ecfa4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/357183e8dd0b8cedd8138908024ce7b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)已知命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/755f08f72660a91e1618c1b96f73b5cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3716cfdb08fcbabc7c8569d596595aae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4003d1b35c368dab3d2ad1d5062d01cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cd5371a6f0f82c65dd22f75f8b807c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2 . 命题
:直线
与圆
有公共点,命题
:双曲线
的离心率
.
(1)若
均为真命题,求实数
的取值范围;
(2)若
一真一假,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f257b2c95f1935920f05d159b08a9a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8785046420bdd426bbd7a26041ff214.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc3de2a92f1ce64ad41243f39fbc4756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4612a3d0ca32bdc27e1656f9c55ee7b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cd5371a6f0f82c65dd22f75f8b807c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cd5371a6f0f82c65dd22f75f8b807c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解题方法
3 . 已知命题
:对于任意
,不等式
恒成立,命题
:实数
满足
.
(1)若命题
为真命题,求实数
的取值范围;
(2)若命题“
”为真命题,“
”为假命题,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9322dd8f56b5f8d2c667fdf0d4a9f9aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c9a11b5ed4416fa40c30a760c9aaefd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77b88fd68d6d0d7439b06730f0a846c7.png)
(1)若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f675824e539f50cec53120959d32e554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13472bf0353e16784a22e1f890fba40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-02-20更新
|
58次组卷
|
2卷引用:四川省雅安市天立学校2022-2023学年高二下学期期中教学质量测试数学(文)试题
4 . 已知函数
.
(1)证明:函数
有且只有两个不同的零点;
(2)已知
,设函数
的两个零点为
,试判断下列四个命题的真假,并说明理由:
①
;②
;③
;④
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edca4db207f4b253d6e9c780e557642f.png)
(1)证明:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf910f82c3094b267a3d481d23d829f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca579894dad67bc82cb715fd48e0d70.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d3b114eb69ad77a0495468af7bb41b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/885c20eafab97db145af40138279adbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e2095119185f0410bb10cae34f14243.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e4a11440f9199546f719432280176f2.png)
您最近一年使用:0次
2024高三·全国·专题练习
解题方法
5 . 设
是两个非空集合,“若
,则必有
”这个命题是假命题,请你举出反例.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f443096be1d8d50ea3e2ab2ac3d49c6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
您最近一年使用:0次
名校
解题方法
6 . 设命题
:幂函数
在
上减函数,命题
对任意实数
恒成立.
(1)若命题
为真命题,求实数
的取值范围;
(2)若命题
和
中有且只有一个是真命题,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cf3605f887d8233f39667b1ee87be51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/419980a96b180978b1a29c3877a352a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
7 . 已知命题p:任意
,
,命题q:方程
表示双曲线.
(1)若命题p为真命题,求实数a的取值范围;
(2)若“p且q”为真命题,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ae262ad13eb5752cf5034569c704c9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cebf0dfe02bac3ba2837058068010213.png)
(1)若命题p为真命题,求实数a的取值范围;
(2)若“p且q”为真命题,求实数a的取值范围.
您最近一年使用:0次
名校
解题方法
8 . 已知p:关于x的方程
(
)无实数根.
(1)若p是假命题,求实数m的取值范围;
(2)已知条件q:
,
,若p是q的必要不充分条件,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0bd7c640a528928469577a646a93a4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
(1)若p是假命题,求实数m的取值范围;
(2)已知条件q:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c521d8f3e3bd69faf94e4fc104d9f7f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
您最近一年使用:0次
名校
9 . 已知命题
:存在实数
,使
成立.
(1)若命题
为真命题,求实数
的取值范围;
(2)命题
:对于
,使
有解,如果
是假命题,
是真命题,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2380f2daf2ad77fb1f3a0723936766f5.png)
(1)若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b97ab84192e12bb292bc9fbd0b29fbee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dda55947cff18d2d8b18497ffa97b1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
10 . 已知p:函数
(
)在区间
上单调递增,q:关于x的不等式
的解集非空.
(1)当
时,若p为真命题,求m的取值范围;
(2)当
时,若p为假命题是q为真命题的充分不必要条件,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffb87196ca555c2117bf22668aa92284.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a64103561364ac4c9460a72c9e154bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12879faed896395086c0cc737fc6c7c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96ab5ba81c53d5724fdaf3be0245edd4.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89d500af0ca164f4f04b67a080ba6189.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae018fde08edf0539089f98c17e11ff7.png)
您最近一年使用:0次