解题方法
1 . 已知集合
,
.
(1)求集合A,B;
(2)已知
,
,若p是q的_________条件,求实数a的取值范围.
请在①必要不充分、②充分不必要、③充要,这三个条件中选择一个填在横线上(若多选,按第一个给分),补全第(2)题,并根据所选条件解答该题.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8c3be3b286a9811cc4cc45124a0b165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ffa73b9fedbc89a54baa3e94762fa13.png)
(1)求集合A,B;
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc11e9183ffccd297df4a1c18618bae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218c5309e534904dc6bf768074965239.png)
请在①必要不充分、②充分不必要、③充要,这三个条件中选择一个填在横线上(若多选,按第一个给分),补全第(2)题,并根据所选条件解答该题.
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2021-01-29更新
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3卷引用:江苏省宿迁市2020-2021学年高二上学期期末数学试题
名校
解题方法
2 . 命题
在
单调增函数,命题
在
上为增函数,则命题
是命题
的__________ .(在“充分不必要条件、必要不充分条件、充要条件、既不充分也不必要条件”中选择最合适的填写)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5c8268047d111633e348bbe61ec5ff8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa66623cf54b42d6d12be4c8edaa7071.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e738ba791473e4eee10f187409744fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
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3 . 下列说法正确的是___________ (填写序号)
①命题“若
,则
”的逆否命题是“若
,则
”;
②“
”是“
”的充分不必要条件;
③若
为假命题,则
均为假命题;
④命题
,使得
,则
,均有
.
①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)
②“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e38581b43f437454b86dae0daed9a2f.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13472bf0353e16784a22e1f890fba40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cd5371a6f0f82c65dd22f75f8b807c1.png)
④命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fac11dd95cb4b78adb817fad02dedb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/264dab145ceba44696a6ee63b1e1549d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19cd44731d509352f907c9773a42cab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba1c77d129b56255baf3d76eb2a6c2ff.png)
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3卷引用:四川省达州市开江县任市中学2021-2022学年高三上学期第一次月考数学(文)试题
4 . 下列哪些条件可以作为实数a、b都不为零的充分非必要条件?填写序号:______ .
①
; ②
; ③
;
④
; ⑤
.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eae9ba258299eb489b490594397e23c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39d5f0d374837655cc286d326305da36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ff02207a096fec894267b892a0d7586.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a68dbd91d6de68b550a5745ecd461d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38d465e39b5aa44efec6c6402a5795af.png)
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5 . 若
:
,
:
,则
是
的__________ 条件.(用充分非必要、必要非充分、充要、非充分非必要填写)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ff7e39b335e3b5250b7f727e16a4a03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a2821ab826bd47caaf8c092fd0773e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd6192392ae65940dec55de05c93cf50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
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解题方法
6 . “角
为第一象限角”是“
”的______ 条件.(从“充分不必要、必要不充分、充分必要、既不充分也不必要”中选一个填写)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93371b22550b519a11edbd2be30a7775.png)
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2021-01-30更新
|
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3卷引用:1.2 充分条件与必要条件基础练-2021-2022学年高二数学同步训练精选新题汇编(人教A版选修2-1)
(已下线)1.2 充分条件与必要条件基础练-2021-2022学年高二数学同步训练精选新题汇编(人教A版选修2-1)7.2.1任意角的三角函数-2021-2022学年高一数学链接教材精准变式练(苏教版2019必修第一册)江苏省镇江市丹阳高级中学、南通市如皋中学2020-2021学年高一上学期期末联考数学试题
20-21高一·江苏·课后作业
7 . 根据下列所给的各组p,q填空:
①p:
,q:
;
②p:两个三角形的两边及其夹角分别对应相等,q:两个三角形全等;
③p:
,q:
;
④p:二次函数
的图象过坐标原点,q:
;
⑤p:两条直线被第三条直线所截,同旁内角互补,q:这两条直线平行;
⑥p:两直角三角形的斜边相等,q:两直角三角形全等.
其中,p是q必要条件的有__________ ;p是q充分条件的有__________ ;p是q充要条件的有__________ .(填写序号)
①p:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc1f719e6467633f50ac7ad38a0ee119.png)
②p:两个三角形的两边及其夹角分别对应相等,q:两个三角形全等;
③p:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f22fec5a381ae8aca93d876e54c79de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf5821f59d12217af9a3804379c8231f.png)
④p:二次函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42b4bbc06ca03662f71ab6f23203b83a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a882037b9ce104ecc496e0f31a139361.png)
⑤p:两条直线被第三条直线所截,同旁内角互补,q:这两条直线平行;
⑥p:两直角三角形的斜边相等,q:两直角三角形全等.
其中,p是q必要条件的有
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8 . 用符号“
或
”连接命题
与
,并填写命题
是命题
的什么条件(填写充分非必要或必要非充分):
(1)
:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af44228909a21fc73eb19c318d5dec89.png)
______
:
;
是
的______ 条件;
(2)
:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52c2ff2436dbb22f3da299922d2aafc3.png)
______
:
;
是
的______ 条件.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef73aff3fe470e367f4af24fdfff3df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1df451a68e067e0e72621181e4353ddd.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af44228909a21fc73eb19c318d5dec89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52c2ff2436dbb22f3da299922d2aafc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/988b7e964e313579ab8869d67d5be007.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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2卷引用:沪教版 高一年级第一学期 领航者 第一章 1.5充分条件,必要条件(1)
名校
9 . “
”是“
”的__________ 条件.(填写“充分必要”、“充分不必要”、“必要不充分”、“既不充分也不必要”之一)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45e3600cf5bd1064a1cc03598b4ba70d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad99f286d557b3c400af3f220c7cfdbc.png)
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2020-03-25更新
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3卷引用:专题1.2 常用逻辑用语-备战2021年高考数学精选考点专项突破题集(新高考地区)
(已下线)专题1.2 常用逻辑用语-备战2021年高考数学精选考点专项突破题集(新高考地区)2020届江苏省南通市海安高级中学高三第二次模拟考试数学试题江苏省盐城县中2019-2020学年高三上学期10月联考数学试题
10 . 已知平面
,
和直线
,且
,则“
”是“
”的______ 条件.(在“充分不必要、必要不充分、充要、既不充分又不必要”选一填写.)
![](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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41fd314b2e710461e4168d85e2df85b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac16b6d9ffc65507c5cd4083a1363937.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/057cdb4057bca398a838e868efd360f5.png)
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