名校
1 . 给出下列三种说法:
①命题p:∃x0∈R,tan x0=1,命题q:∀x∈R,x2-x+1>0,则命题“p∧(
)”是假命题.
②已知直线l1:ax+3y-1=0,l2:x+by+1=0,则l1⊥l2的充要条件是
=-3.
③命题“若x2-3x+2=0,则x=1”的逆否命题为“若x≠1,则x2-3x+2≠0”.
其中所有正确说法的序号为________________ .
①命题p:∃x0∈R,tan x0=1,命题q:∀x∈R,x2-x+1>0,则命题“p∧(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e26b38e357c7d985656ba7bb3c794a5.png)
②已知直线l1:ax+3y-1=0,l2:x+by+1=0,则l1⊥l2的充要条件是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2122e3f1e76a635e58e4d54aa594c552.png)
③命题“若x2-3x+2=0,则x=1”的逆否命题为“若x≠1,则x2-3x+2≠0”.
其中所有正确说法的序号为
您最近一年使用:0次
2016-12-05更新
|
991次组卷
|
6卷引用:2016-2017学年河北馆陶县一中高二上期中数学试卷
2016-2017学年河北馆陶县一中高二上期中数学试卷黑龙江省海林市朝鲜族中学高三数学人教版选修1-1同步练习:第一章 常用逻辑用语单元测评江西省会昌中学2018-2019学年高二上学期第一次月考数学(理)试卷辽宁省沈阳市郊联体2018-2019 学年高二上学期数学(文科)期末试题(已下线)专题1.3 简单的逻辑联结词、全称量词与存在量词(精练)-2021年高考数学(文)一轮复习学与练广西壮族自治区钦州市第四中学2023届高三上学期9月考试数学(文)试题
2 . 以下几种说法
①命题“
,函数
只有一个零点”为真命题
②命题“已知
,
,若
,则
或
”是真命题
③“
在
,
恒成立”等价于“对于
,
,有
”
④
的内角
,
,
的对边分别为
,
,
,则“
”是“
”的充要条件.
其中说法正确的序号为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
①命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f2c9043ff925c1fb693afd1516dbcf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a12e04dcaf2cde31b57e86a3b41f471.png)
②命题“已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54dad48527a47eab4a5916ab0421cc71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a34982de5d3f287cd570ea30eb46d185.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8d09b9fc9719ff6faf32254b9d48713.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1be861d83cddb5fc8aa22f7f0f9415d6.png)
③“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b89286660f11247d3d5f47507081ddd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38e96e9a314387fa1c76e86179ee0121.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45340678c2ec1bc8cd68c0a3a2ab8902.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38e96e9a314387fa1c76e86179ee0121.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45340678c2ec1bc8cd68c0a3a2ab8902.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d429989ce49589ba3d7b76a8809b5234.png)
④
![](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/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0b6662c6f84e1c97c9d05d9ae62c1eb.png)
其中说法正确的序号为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
A.①③ | B.①④ | C.②③ | D.②④ |
您最近一年使用:0次
3 . 以下几种说法
①命题“
,函数
只有一个零点”为真命题
②命题“已知
,
,若
,则
或
”是真命题
③“
在
恒成立”等价于“对于
,有
”
④
的内角
,
,
的对边分别为
,
,
,则“
”是“
”的充要条件.
其中说法正确的序号为( )
①命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f2c9043ff925c1fb693afd1516dbcf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a12e04dcaf2cde31b57e86a3b41f471.png)
②命题“已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54dad48527a47eab4a5916ab0421cc71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a34982de5d3f287cd570ea30eb46d185.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8d09b9fc9719ff6faf32254b9d48713.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1be861d83cddb5fc8aa22f7f0f9415d6.png)
③“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e871c54f8021e1f0da4d552e38d8814f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53224898de85a85058ad336490bbbaa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53224898de85a85058ad336490bbbaa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d02a486133c2f49aa028e8b13fb40b05.png)
④
![](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/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/048efda6ae51eb780e95ed3505b7be04.png)
其中说法正确的序号为( )
A.①③ | B.①④ | C.②③ | D.②④ |
您最近一年使用:0次
名校
4 . 下列说法中:
①“若
,则
”的否命题是“若
,则
”;
②“
”是“
”的必要非充分条件;
③“
”是“
或
”的充分非必要条件;
④“
”是“
且
”的充要条件.
其中正确的序号为__________ .
①“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bad6987e8abfbf07d6a2650483d2a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bad6987e8abfbf07d6a2650483d2a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e30c903d8f8a05332af0b19e7e40df3.png)
②“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c6875d552e9fff3c7d655f3a59b166.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bfcffd48bd96e513072d998b69b6629.png)
③“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3056bd950bb55035358d45d1b7d354c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20c925c4283740ce6cc412c1c5f57b0a.png)
④“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c80c89052d44692bfd1e37805035fb5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6455e38ff53ede2508e4d9cb23f0b86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91a871ef7bf13de3e15489d65b57a3cc.png)
其中正确的序号为
您最近一年使用:0次
2019高二上·全国·专题练习
5 . 下列说法不正确的是______________ (填序号).
①“若
,则
或
”的否命题为“若
,则
或
”;
②“
”是“
”的充要条件;
③“函数
在
上无零点”的充分不必要条件是“
”.
①“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b490251771387215bb9a184ded06fed1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55aa0a20848c37c1892c567b2315e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79bec7871c65b1c7fad449272b3a85df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8d09b9fc9719ff6faf32254b9d48713.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb0469b312798e19c24fe494d03fb0a9.png)
②“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/452e09db0f4a9b702d1f3f593d5a00d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af0754b15fcb01ce15de5373b9ae0280.png)
③“函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afffd5181532a4caf5bf64434b350a76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9509a250d65dc9cc856401544216223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bd8ba8bfcbf4c2e2c47e83403bd8902.png)
您最近一年使用:0次
6 . 下列结论:①
是
的充要条件;
②存在
,
,使得
;
③函数
的最小正周期为
;
④任意的锐角三角形
中,有
成立.
其中所有正确结论的序号为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9beed0ccbc14b49c9f146e9f67b776c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f2e33a93693ca2b7e2b15a31db5a694.png)
②存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/787ef778b8c90778644b6f34d2f851b0.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa35a7b967fbfd53b79078785eddd838.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
④任意的锐角三角形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/549169246fc4e6d5fe27fbcd8dede7d1.png)
其中所有正确结论的序号为
您最近一年使用:0次
7 . 给出下列四个命题:其中所有正确命题的序号为
①中,是成立的充要条件;
②已知锐角
满足
,则
的最大值是
;
③将
的图象绕坐标原点O逆时针旋转角
后第一次与y轴相切,则;
④若函数
为R上的奇函数,则函数的图象一定关于点
成中心对称.
①中,是成立的充要条件;
②已知锐角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f2cb357f48364ac47fd8a92d635c107.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03005d17bf564371ad29fea41f5c650.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/821309f088a175c00dc0f4828334503d.png)
③将
![](https://img.xkw.com/dksih/QBM/2015/1/16/1571965939204096/1571965945004032/STEM/b301cdaa80dd49899b5d0865a7e0c237.png)
![](https://img.xkw.com/dksih/QBM/2015/1/16/1571965939204096/1571965945004032/STEM/2df32e6bc7fe486885c4cadbb9122d20.png)
④若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eb839865d03d7bb6ee20032d370c2ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8b3620056971f56c0740a9e40fea990.png)
A.①②③ | B.②④ | C.①③④ | D.①②④ |
您最近一年使用:0次
名校
8 . 下列命题为真命题的是(写出所有正确说法的序号)__________ .
①函数
经过点
的充要条件是
;
②二次函数
经过点
的充要条件是
;
③若已知二次函数
,则
经过点
的充要条件是
;
④“
”是“二次函数
有两个异号零点”的必要不充分条件.
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e56f4504e0f80fd031c8b5f41832e03.png)
②二次函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e56f4504e0f80fd031c8b5f41832e03.png)
③若已知二次函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e56f4504e0f80fd031c8b5f41832e03.png)
④“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4944b18a1daae0480089124e5551107f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e771b442728eea0c08122889f3e722d9.png)
您最近一年使用:0次
名校
解题方法
9 . 已知集合
.
(1)求证:函数
;
(2)某同学由(1)又发现
是周期函数且是偶函数,于是他得出两个命题:①集合
中的元素都是周期函数;②集合
中的元素都是偶函数,请对这两个命题给出判断,如果正确,请证明;如果不正确,请举出反例;
(3)设
为非零常数,求
的充要条件,并给出证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2041f5b087d5a81755d5d26c381ec22d.png)
(1)求证:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd87e951d72ddcd358c5171219f1caf8.png)
(2)某同学由(1)又发现
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94e174ad99b65cb6a865b5b4f7ccb030.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2fbe843ce1c7880866e21789e9e1f70.png)
您最近一年使用:0次
名校
10 . ①一个命题的逆命题为真,它的否命题也一定为真;
②在
中,“
”是“
三个角成等差数列”的充要条件.
③
是
的充要条件;
④命题“不等式x2+x-6>0的解为x<-3或x>2”的逆否命题是“若-3≤x≤2,则x2+x-6≤0”
以上说法中,判断错误的有___________ .
②在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32436704a722d5e568ff5c175bf3c662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9c1e84aaa7e1b5c1283075b36c72fb5.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b55151f04b78819d809826a10404d202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a7c531fcca79d781a43c1823741f42.png)
④命题“不等式x2+x-6>0的解为x<-3或x>2”的逆否命题是“若-3≤x≤2,则x2+x-6≤0”
以上说法中,判断错误的有
您最近一年使用:0次