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1 . 下列说法中,正确的有_________ (填序号).
①“
”是“方程
表示椭圆”的必要而不充分条件;
②若
:
,则
:
;
③“
,
”的否定是“
,
”;
④若命题“
”为假命题,则命题
一定是假命题;
⑤
是直线
:
和直线
:
垂直的充要条件.
①“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/619894ad49781a32dd38becb013e6e07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080d31366f670f8ebaa64aadc2ad23c0.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0483b89034216f8684241e66e7942d4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1940991107dc6ae92d8fa19df561e508.png)
③“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc906b12f576e3ffc5e74d3d50c2bbac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6935a13445cd10752d10072d9ad4f188.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d009c9bd0a09d83c817b3bef8ef8351e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2fc142a1a27251086b668c77bfebf65.png)
④若命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29d4eed113aa69a7d973c6410bae7ddf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
⑤
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc895959e9bc92294dc9dd2263dbf0c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7359d6e5595d44679ad3a00a305c0cf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c3da9309212c874401336596f8649ce.png)
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2 . 命题“
,
”的否定是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c780149aef1bd77162e85f7f8906a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5feadcbfc13b894e1f1e922e826122bb.png)
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解题方法
3 . 给出下列四个命题:
①命题“
,
”的否定“
,
”;
②a,b,c是空间中的三条直线,
的充要条件是
且
;
③命题“在
中,若
,则
”;
④若“
”是假命题,则p,q都是假命题;
其中的真命题是___________ .(写出所有真命题的编号)
①命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1984a78f4fa4bb93134765a89f3735ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8645952ea14b25443f411d39bdec641e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db40915f66115bb363bc9ca0c95a2bb5.png)
②a,b,c是空间中的三条直线,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72fbc714c63815dad9a27418f6492f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2293799d379200cf746e8450ebd5744f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d4fc47a5814493cc5facdc3ab296dd.png)
③命题“在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca51be437b1a97ca92aa1159ab71102c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19dc38d888741a1b2e95fe0773a48c38.png)
④若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13472bf0353e16784a22e1f890fba40.png)
其中的真命题是
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4 . 已知命题p:
,都有
,则
:________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fad1dd76d5b72f10f5bb62693a2996f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6749db809dd84c2cfe5c47bea121e356.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
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5 . 命题“
,
”的否定为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7ced8a20b0ac50c7b37ce2b2c24d9db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adc3e5be1796493161a4df7e28a6f6b7.png)
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6 . 命题“
,
”的否定是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b0dd222b8b732e215b4aff85dfe230d.png)
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7 . 命题“
,
”的否定是_______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fad1dd76d5b72f10f5bb62693a2996f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32e4848e12d90125411fb07a7e524de6.png)
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8 . 下列命题:
①若
,则
;
②“在
中,若
,则
”的逆命题是真命题;
③命题“
,
”的否定是“
,
”;
④“若
,则
”的否命题为“若
,则
”.
则其中正确的是______ .
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f7c54faca6eac8af5309942062058d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2128a00f52af4427721f0ebba591daa.png)
②“在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19dc38d888741a1b2e95fe0773a48c38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca51be437b1a97ca92aa1159ab71102c.png)
③命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1485a4756c56f1126b9825d5019d544c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3aaa2a2d80fae904461d89ca8fa1f86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fc6252b12df14414d6ebfe03749b4b5.png)
④“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdbb2015f2be55935cb9e48d967190df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3798d6c2e5eac9c1d8b044efd5081acf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd489150af4efdecc3489b7af74ce3d3.png)
则其中正确的是
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9 . 下列结论中正确的命题序号是 ______
①命题“
,
”的否定是“
,
”;
②设
,则“
,
,
是等比数列”的一个必要不充分条件是“
”;
③“
”是“
”的一个充分不必要条件;
④设
为两个平面,则“
”的充要条件是“
内有两条相交直线与
平行”.
①命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c780149aef1bd77162e85f7f8906a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05611fbe265ef9e3d4a8b1821bcbc1eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c780149aef1bd77162e85f7f8906a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63e67e1423322138cfc68c5c85a6215d.png)
②设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c748e40ba21ac5063d3bccaa57ef278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
③“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a9344f4fca7b9779ca7720e5277ea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad7c77d53297937ba76234c676b1a82d.png)
④设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35f747152f006301e03b643afb80195c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
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10 . 命题“
,
”的否定是______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c780149aef1bd77162e85f7f8906a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23b141a2cc1fa7d7c8ebeee4f2fb5c8.png)
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