1 . 下面有五个命题:
①函数
的最小正周期是2π;
②终边在
轴上的角
的集合是
;
③在同一坐标系中,函数
的图像和函数
的图像有一个公共点;
④把函数
的图像向右平移
个单位长度得到函数
的图像;
⑤在△ABC中,若
则ΔABC是等腰三角形.
其中真命题的个数有( )
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d8e4f5b3c0bc0c9a968e9eec375b66a.png)
②终边在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5301d19a0b1d8d8f2aff3d1595b282.png)
③在同一坐标系中,函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b9643da0c0fea4f099f9a9133d6076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
④把函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0c3e73963e3412156c9b78c8f0b79c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c191fdfd08fb94ba6ed45c71f0fbeb.png)
⑤在△ABC中,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28d9fbc4c8a037ed2edda5904d81bf5d.png)
其中真命题的个数有( )
A.1 | B.2 | C.3 | D.4 |
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2 . 下列四个命题,其中真命题的序号是_______________ .
(1)
得最小值为2;
(2)
且
,则
恒成立;
(3)
,则
恒成立;
(4)
,其中
表示
三数中最大的一个数,则
的最小值为
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a22f0df337cc77b4124546d1acb08ed4.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077a31bd2b8e26c35bfd855e42b5d7a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22404ecc9b3ef48f2674c905008521bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba81d5fb9b83fef07f1420e1a3ace59.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4267dc8e500cecea41f8c252af19e34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/475bc2e5ea93f868daee34e44cc4c70e.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/476a1cea8bb4fec33606f3f75a80ee73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f62f3f1d721cbf7a5d3fb5678b9a6349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/067988c058392f4132c82c13e7e7e4c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33732f816538fc8d3e5f587a362c8108.png)
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3 . 给出下列说法:①方程
表示的图形是一个点;②命题“若
,则
或
”为真命题;③已知双曲线
的左右焦点分别为
,
,过右焦点
被双曲线截得的弦长为4的直线有3条;④已知椭圆
:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
上有两点
,
,若点
是椭圆
上任意一点,且
,直线
,
的斜率分别为
,
,则
为定值
;⑤已知命题“
,
满足
,
”是真命题,则实数
.其中说法正确的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8223571655fb5d3034461f039087c0e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a618d08d71463522c37df3378d358850.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31be670d32e753012125c503f2f3be56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1be861d83cddb5fc8aa22f7f0f9415d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4334e343daae170f14d086661bc5792a.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/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/434249d6640b0c1a712d215cf8b83d5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb57bb18755127be041d346444a4743e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1c24a774a8856f639d45afd85dd85c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8cf480a25bd32adfa59f9f0bb7293b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b881044b5c73db6fcce110525741b02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91c9bbbe71a1e6aa806b8a109fb52ce0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8123b82eb5957f24c35db521504d67f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54dad48527a47eab4a5916ab0421cc71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d4cdb5ac461cd9c8c54c9cae6a71b47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/561800aa679a45da4dbe0e323de1fd59.png)
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2卷引用:四川省蓉城名校联盟2019-2020学年高二上学期期中联考数学(理)试题
4 . 在平面直角坐标系中,定义
为两点
,
之间的“折线距离”,在这个定义下,给出下列命题:
①到原点的“折线距离”等于1的点的集合是一个正方形;
②到
,
两点的“折线距离”相等的点的集合是一条直线;
③到
,
两点的“折线距离”差的绝对值为1的点的集合是两条平行线;
④到
,
两点的“折线距离”之和为4的点的集合是一个六边形.
其中正确的命题是______ (写出所有正确的序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3492041fb4db5729f5a61cdac6b9919.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaef9b09f0ad5d4acfd1db15fcfef2cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efe1e38cae6bd74c3bdef355db8e1c89.png)
①到原点的“折线距离”等于1的点的集合是一个正方形;
②到
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/778d4290699b1ad6ead1aeb7abf571e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b39cfe151dba6ff15fe87727ab983a93.png)
③到
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/778d4290699b1ad6ead1aeb7abf571e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b39cfe151dba6ff15fe87727ab983a93.png)
④到
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/778d4290699b1ad6ead1aeb7abf571e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b39cfe151dba6ff15fe87727ab983a93.png)
其中正确的命题是
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5 . 下列命题中,是假命题的是
A.![]() ![]() |
B.![]() ![]() |
C.函数![]() ![]() |
D.![]() |
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4卷引用:重庆市南开中学2019-2020学年高三上学期第二次教学质量检测数学(理)试题
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6 . 给出下列四个说法:
①命题“
,都有
”的否定是“
,使得
”;
②已知
、
,命题“若
,则
”的逆否命题是真命题;
③
是
的必要不充分条件;
④若
为函数
的零点,则
.
其中正确的个数为
①命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6422b9c2e93a91fe9e39ce4d9dabb0fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63af71b9e6f71cd26e6e97541154cd8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c87e3647b50eb753571192a5e0f5be63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0231f4a0c8d240efede9b332c9468fde.png)
②已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/753bc7b46730ab08df9ee4488ce34986.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6749db809dd84c2cfe5c47bea121e356.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11abb76da45ffa52b47c3a6b9a03ac7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b4db003c148227f49d9842d6b481400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04f6aa7c17310e63aa76dcdb9316ecb5.png)
其中正确的个数为
A.![]() | B.![]() | C.![]() | D.![]() |
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9卷引用:重庆市南开中学2018-2019学年高2020级高二下学期期末数学(理)试题
重庆市南开中学2018-2019学年高2020级高二下学期期末数学(理)试题重庆市南开中学2018-2019学年高二下学期期末考试理科数学试题江苏省南通市海安市海安高级中学2019-2020学年高二上学期期中数学试题(已下线)第02练 常用逻辑用语-2021年高考数学(文)一轮复习小题必刷广东省珠海市第二中学2021届考前模拟数学试题(已下线)专题02 常用逻辑用语-备战2022年高考数学(文)母题题源解密(全国乙卷)重庆市重庆外国语学校(四川外国语大学附属外国语学校)2021-2022学年高二下学期期末模拟(3)数学试题(已下线)专题1-2 简易逻辑题型归类-2(已下线)专题01 集合与常用逻辑用语4-寒假作业单元合订本
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7 . 对于给定的函数
,给出五个命题其中真命题是
①函数
的图象关于原点对称;②函数
在
上具有单调性;③函数
的图象关于
轴对称;④函数
的最大值是0.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53d47acde403253bcb59b1e19e04409f.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/730810fb165d70d3aebcabbb0f3662b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4edd62ee96d96fb80e544534d3bdb09.png)
A.①②③ | B.①③④ | C.②③④ | D.①②④ |
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8 . 对于函数
现有下列结论:
①任取
,都有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b27d9aafc2de07ff3506cadf89c420f.png)
②函数
在
上单调递增
③函数
有
个零点
④若关于
的方程
恰有
个不同的实根
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9145e7bebf14b87e0ef3d0309c1c6eb1.png)
其中正确结论的序号为________________ .(写出所有正确命题的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e88abcc6e4b6381edaba959ee4b3286.png)
①任取
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a62b2963a3941525b41bc7a33e2a066.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b27d9aafc2de07ff3506cadf89c420f.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bd2993f6583edb4693a760f3f276a66.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6647ff4260f63b1d2a0c74c31bb69030.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
④若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b647bef81d6e219c508eca1517d9342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9145e7bebf14b87e0ef3d0309c1c6eb1.png)
其中正确结论的序号为
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2卷引用:黑龙江省哈尔滨三中2017-2018学年高三上学期期中考试理科数学试题
9 . 已知函数
的定义域
,值域是
;
定义域
,值域是
.
甲:如果任意
,存在
,使得
,那么
;
乙:如果存在
,存在
,使得
,那么
;
丙:如果任意
,任意
,使得
,那么
;
丁:如果存在
,任意
,使得
,那么
;
请判断上述四个命题中,假命题的个数是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a6a85533f7258ae9879c9e6deb1b4c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9416d7af60ec6bcd4d5c912354e1be0d.png)
甲:如果任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa273c6bf06db59f93c900e6bf8eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17bbaa6a36129a8d6b71a284d155ae5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e63bbadc6250f7139836ede33205550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e96640bec5c52d0d21269c83b3a1e89.png)
乙:如果存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa273c6bf06db59f93c900e6bf8eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17bbaa6a36129a8d6b71a284d155ae5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e63bbadc6250f7139836ede33205550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c5a918bf1e443aeeb7774ad6b9a5281.png)
丙:如果任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa273c6bf06db59f93c900e6bf8eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17bbaa6a36129a8d6b71a284d155ae5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e63bbadc6250f7139836ede33205550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c5a918bf1e443aeeb7774ad6b9a5281.png)
丁:如果存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa273c6bf06db59f93c900e6bf8eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17bbaa6a36129a8d6b71a284d155ae5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e63bbadc6250f7139836ede33205550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5319504bde1a5a36d6f2277b36deef6.png)
请判断上述四个命题中,假命题的个数是
A.0 | B.1 | C.2 | D.3 |
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10 . 如图,已知
,其内部有一点
满足
,命题
最大值有可能超过36度;命题
若三边长对应分别为
,则
;则正确的选项为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ab71f0f9086d3745abfe4c16a42beff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7010173da53031a6cf71432406fa5e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c96b857cd8c3389b8d06db32431123.png)
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