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解题方法
1 . 设
、
是任意两个集合,请写出一个“
”的充分必要条件是________ .
![](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/dd9d50619b779c1056602f46b2a95e90.png)
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2 . 已知
,则“
”是“
的__________ 条件.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e56f4504e0f80fd031c8b5f41832e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f75807858b7804a1ad2039c41f323a18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/888d8515c740b46d1e3437137363fb18.png)
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解题方法
3 . 设
,
为非零向量,则“
”是“
”的___________ 条件.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a92e6eba8dab638fd66831cd3a0b6d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/427fa45527d0ce469bfd060bf6f991f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f96995b328c9aa52c0736989a253d099.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f10c4668e805d2eb7c854ec822c32868.png)
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4 . “
且
”的充要条件是“
且________ ”.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eec336faee8689281a6f6b465e7fcff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f9e131cdd242d56b6dba05ab3363ef3.png)
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5 . 在下列四个结论中,正确的有______________ (填序号).
①若p是q的充分非必要条件,则
也是
的充分非必要条件;
②“
”是“一元二次不等式
的解集为R”的充要条件
③“
”是“
”的充分不必要条件;
④“
”是“
”的必要不充分条件.
①若p是q的充分非必要条件,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e26b38e357c7d985656ba7bb3c794a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
②“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dace18fa20f00d049f621914b21b4ba7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f95f3fa710253c107b6e8fb458108b0d.png)
③“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e30c903d8f8a05332af0b19e7e40df3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d54e72f2a8f5bf4a12f3328503afb9.png)
④“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f0e9c04402a0ffdaa25c3e3c82c7dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82dfc56304a9036fd5e657e42fdc6937.png)
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21-22高一上·北京西城·期中
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6 . 设全集为S,集合A,
,有下列四个命题:
①
; ②
; ③
; ④
.
其中是命题
的充要条件的命题序号是_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afdfcbf088889643ac9824e5fd375706.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5fdba3781b1d1d135beddb1b4f40bf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0f06a389d50e3c74e17d5d60c0d959.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2c395f72f487e0b41e6ea24af60615a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b29e28a58d223c72a33f82dc73964bf6.png)
其中是命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
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2021-11-18更新
|
833次组卷
|
5卷引用:北京市第四中学2021-2022学年高一上学期期中数学测试题
(已下线)北京市第四中学2021-2022学年高一上学期期中数学测试题(已下线)专题1.4 充分条件与必要条件(5类必考点)第一章 集合与常用逻辑用语章末检测(能力篇)湖北省十堰市天河英才高中2022-2023学年高一上学期9月月考数学试题(已下线)第2章:常用逻辑用语章末综合检测卷-【题型分类归纳】(苏教版2019必修第一册)
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7 . 下面四个条件中,选择正确序号填空:
①
;②
;③
;④![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2128a00f52af4427721f0ebba591daa.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08da2d9f8b81ca70a42a4037bd710200.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9844e88a798cb9b74837aea729b7953a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f7c54faca6eac8af5309942062058d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2128a00f52af4427721f0ebba591daa.png)
使![]() | 充分而不必要条件序号是 | ———————————— |
必要而不充分条件序号是 | ———————————— | |
充要条件序号是 | ———————————— | |
既不充分也不必要条件序号是 | ———————————— |
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8 . “曲线
与圆
有且仅有三个公共点”的充要条件是_________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/159984b0f1191ee27fb8feca907ec5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dbd2dd328f7c86bc0460a7e100e0fe7.png)
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9 . 已知定义域为
的函数
满足:对任意
,恒有
成立;当
时,
,给出如下结论:
①对任意
,都有
;
②函数
的值域为
;
③存在
,使得
;
④“函数
在区间
上是严格减函数”的充要条件是“存在
,使得
”.
其中所有正确结论的序号是__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab5e0524def52baf53480b8726784ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cc4136bd17997e11a7f8abcb19f9018.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af77c99a8385bfe3553f0ec68be798e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3b8e9bb1e11d02cc2190a6e5ede4293.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b96c2c79f7d0a248ed590a0bce7eb8bd.png)
①对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/573394d925f221e828978ba5b528dd39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e43d6d8cdb618d0cfd0a1eb220f91963.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b029e85e686623cdef977b2cb1f207a.png)
③存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b00438433719b82971f9fe309e04b5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d4cfb3ed1344cfc7fbfb8b6b3ab67c.png)
④“函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45a173784888adf2946382fa093ba53a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f83ae496d5558ae20feb61ec14032acb.png)
其中所有正确结论的序号是
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2021-01-18更新
|
440次组卷
|
2卷引用:北京市第二中学2023届高三上学期10月月考数学试题
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10 . 如图所示,
是定义在区间
上的奇函数,令
,并有关于函数
的四个结论:
①若
,对于
内的任意实数
,
恒成立.
②函数
是奇函数的充要条件是
.
③若
,
,则方程
必有3个实数根.
④
,
的导函数
恰有两个零点.
其中所有正确结论的序号是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/281d4324c2aa43ecf1cf21438ea112a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018a285b53e19be4d5ed03b4c570773f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a69f434cc713ab1fe3286e2090f057f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8711dea1b5286cff688f1bc521a8dbe1.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143b917df0520097be222accbddf9394.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ede78fd7ac619ea597856254bb5d75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3a915c1a8a9304aeb307d130faaeb15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f86eff5761f61a20c240a428f2a7ceda.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02cdab65718a2348c2339da2ed817edd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15ff6bbd513644e730d4cf7b2e749fc.png)
其中所有正确结论的序号是
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/31/4fe3f172-7de1-4358-8345-98dbc1dfc72d.png?resizew=178)
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