1 . 下列说法中正确的个数是( )
①若
为真命题,则
均为真命题;
②设
,命题“若
,则
”的否命题是真命题;
③命题“若
,则
”的逆否命题为:“若
,则
”.
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f675824e539f50cec53120959d32e554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cd5371a6f0f82c65dd22f75f8b807c1.png)
②设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5ab4b75fa22deba7fcbcdcb31dd45b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34715101c66fa12ce6baf0a9c53f1672.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c988d709ba8cd8aed6cb83d76c0ba89c.png)
③命题“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1fdf7d28b97fb6fe731703f80e122ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e30c903d8f8a05332af0b19e7e40df3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a8a2a94168af9b16ce89271a5d8dc6b.png)
A.0 | B.1 | C.2 | D.3 |
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2 . 以下关于命题的说法正确的有______ (填写所有正确命题的序号).
①“若
,则
”是真命题;
②命题“若
,则
”的否命题是“若
,则
”;
③命题“若
,
都是偶数,则
也是偶数”的逆命题为真命题;
④命题“若
,则
”与命题“若
,则
”等价.
①“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba2c58e340ebcea00ef2a6d05a836301.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6455e38ff53ede2508e4d9cb23f0b86.png)
②命题“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3019b662e5dc2750bb6f9199d3250f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eae9ba258299eb489b490594397e23c.png)
③命题“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
④命题“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/582ad43edf388c096e7704d92340bf75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5286186cb58bf265a2a96e5195d88d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dab92728b35ed5798e07a2b0095bfcc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a27dd329517f0dd8f1d0dfade6138ed4.png)
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3 . 以下关于命题的说法正确的有______ (填写所有正确命题的序号).
①“若
,则函数
在其定义域内是减函数”是真命题;
②命题“若
,则
”的否命题是“若
,则
”;
③命题“若x,y都是偶数,则
也是偶数”的逆命题为真命题;
④命题“若
,则
”与命题“若
,则
”等价.
①“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba2c58e340ebcea00ef2a6d05a836301.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f12be5e0c1681b2f57e60a3fb0113b80.png)
②命题“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3019b662e5dc2750bb6f9199d3250f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eae9ba258299eb489b490594397e23c.png)
③命题“若x,y都是偶数,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
④命题“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/582ad43edf388c096e7704d92340bf75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5286186cb58bf265a2a96e5195d88d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dab92728b35ed5798e07a2b0095bfcc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a27dd329517f0dd8f1d0dfade6138ed4.png)
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名校
4 . 有关命题的说法错误的是( )
A.命题“若![]() ![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.“![]() ![]() |
D.![]() ![]() |
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5 . 下列关于命题的说法错误的是( )
A.命题“若![]() ![]() ![]() ![]() |
B.“![]() ![]() ![]() |
C.命题“![]() ![]() ![]() ![]() |
D.![]() ![]() ![]() |
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6 . 下列命题的逆命题为假命题的是( ).
A.若![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
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7 . 下列说法正确的个数有( )
(ⅰ)命题“若
,则
”的否命题为:“若
,则
”;
(ⅱ)“
,
”的否定为“
,使得
”;
(ⅲ)命题“若
,则
有实根”为真命题;
(ⅳ)命题“若
,则
”的否命题为真命题;
(ⅰ)命题“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)
(ⅱ)“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6422b9c2e93a91fe9e39ce4d9dabb0fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b3f9eb1ae8ab1f7e65b8f3fe778714c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/045748e3e58bfc29cf00ea0b80d2d56b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98160bfcb1a0163810996bc4dbb46e89.png)
(ⅲ)命题“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f8c9a7302470b0de565fa20a0f5a68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d55dec8c5df4d73ded126f050748da1.png)
(ⅳ)命题“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07b9d5aaaceaa3ac514d17fcfefbf9b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f63af5b9ea2d31a10c5730f3bdb868a.png)
A.1个 | B.2个 | C.3个 | D.4个 |
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8 . 下列命题错误 的是( )
A.命题“若![]() ![]() ![]() ![]() |
B.命题“若![]() ![]() ![]() ![]() |
C.若命题p:![]() ![]() ![]() ![]() ![]() ![]() |
D.“![]() ![]() |
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名校
9 . 命题“
,则
”及其逆命题、否命题和逆否命题这四个命题中,真命题的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825893f68bb66b90d6f59b0cebf269b9.png)
A.0 | B.2 | C.3 | D.4 |
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10 . 写出下列命题的逆命题、否命题以及逆否命题:
(1)若
,则
;
(2)已知
为实数,若
,则
.
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ee4849f60afce5a3a85ccd492314e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0219e415740558b6d03038c91c9f3689.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d10449bc77d692a7270e0f20a68cdf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/648bb8829ffc34b7b466b1bb05777103.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0af27075a29a658a88bec069fe4804da.png)
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