14-15高二上·山东淄博·期末
名校
1 . 下列命题中,真命题的有________ .(只填写真命题的序号)
①若
则“
”是“
”成立的充分不必要条件;
②若椭圆
的两个焦点为
,且弦
过点
,则
的周长为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97a39aeebd0ae3b2d972782afb0c861a.png)
③若命题“
”与命题“
或
”都是真命题,则命题
一定是真命题;
④若命题
:
,
,则
:
.
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c0e9d1ad9561d693958756ee8398218.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c22b9d08cf536bbb76bce1b0f135772.png)
![](https://img.xkw.com/dksih/QBM/2014/3/27/1571580761915392/1571580767723520/STEM/f0b45eb0bdca4a22ba0160cd39d102ff.png?resizew=39)
②若椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57fbdcf5ed16ea6ae22fe7446d9aab97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d25313067f3e11f68da496344c4956.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0169f9fd16b794f51939cb1e8c99dcdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97a39aeebd0ae3b2d972782afb0c861a.png)
③若命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.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/9aa8a716a31b0f51b70fdf9bdb257909.png)
④若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://img.xkw.com/dksih/QBM/2014/3/27/1571580761915392/1571580767723520/STEM/a8c28433120a45308e98228629ebb363.png?resizew=48)
![](https://img.xkw.com/dksih/QBM/2014/3/27/1571580761915392/1571580767723520/STEM/760bc97d69564f61aa77e031e571cbdd.png?resizew=89)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeaf0c7c8aac29d2b3704f4416724567.png)
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名校
2 . 已知命题p:“x∈R时,都有x2-x+
<0”;命题q:“存在x∈R,使sinx+cosx=
成立”.则下列判断正确的是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9af46237d7279ffb682d57e4e7b57a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7881094ce2f907c3aaf664318ecd3e2d.png)
A.p∨q为假命题 | B.p∧q为真命题 |
C.非p∧q为真命题 | D.非p∨非q是假命题 |
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名校
3 . 已知命题
:函数
在
上为增函数;命题
:不等式
对任意实数
恒成立,若
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/6d6784c5c14293622f66500abb66ed8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4318a47d7e83d587e74bab4d3d1f6883.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bae8d4fab18fd5853910f430c092b93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f675824e539f50cec53120959d32e554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2016-12-04更新
|
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3卷引用:【全国百强校】山东省寿光现代中学2017-2018学年高二6月月考数学(文)试题
名校
4 . 如果命题“¬(p或q)”为假命题,则
A.p、q均为真命题 |
B.p、q均为假命题 |
C.p、q中至少有一个为真命题 |
D.p、q中至多有一个为真命题 |
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7卷引用:2015-2016学年山东寿光现代中学高二12月月考理数学卷
5 . 命题p:若不等式
恒成立,则
,命题q:在△ABC中,
是
的充要条件,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed601878632b19ed4c3cc7c6119c2ef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49fe8282fb8035a439eede627d50af5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1795ca84a2543acf19b4ed2d1da5de32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7da9dec952c2e8f1e715f5fff296e88.png)
A.p真q假 | B.“![]() |
C.“p∨q”为假 | D.“![]() ![]() |
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6 . 设 命题p:椭圆
,(a>0)的焦点在x轴上;
命题q:a>0时,不等式ax2﹣ax+1>0对∀x∈R恒成立.
若“p∧q”为假,“p∨q”为真,求a的取值范围.
![](https://img.xkw.com/dksih/QBM/2016/3/9/1572527516459008/1572527521669120/STEM/e69595639d61477fabeb308a4d32276e.png)
命题q:a>0时,不等式ax2﹣ax+1>0对∀x∈R恒成立.
若“p∧q”为假,“p∨q”为真,求a的取值范围.
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7 . 关于命题p:A∩∅=∅,命题q:A∪∅=A,则下列说法正确的是
A.(¬p)∨q为假 |
B.(¬p)∧(¬q)为真 |
C.(¬p)∨(¬q)为假 |
D.(¬p)∧q为真 |
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8 . 已知命题
:方程
有两个不相等的实根,命题
:关于
的不等式
,对任意的实数
恒成立,若“
”为真,“
”为假,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36bcb4df710cf7fc5a4159380ae5451e.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/69d846b69317b5c025d14fa13fe1bca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](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/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
9 . 已知命题P:不等式
的解集;命题Q:使
对任意实数
恒成立的实数a,若
是真命题,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3429fdc9e95c22e3d56a3f338981b874.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bae8d4fab18fd5853910f430c092b93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/429d9cd4fe4a885ac06831a7b8eb3dd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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10 . 已知命题
方程
表示圆;命题
双曲线
的离心率
,若命题“
”为假命题,“
”为真命题,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c4f8e1572f08af598e93128dcebce75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd6d2402a52bc7424459afd3a19a1f04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd9ca6f11332384a25518e8070341566.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edfd9d269ac8e9e2ac45c186fb10e8d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a31351c3868449fd115650c13152be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0045a603e555d2d2a8ef634f9edf9951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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