1 . 已知函数
,
,
恰有
个零点
、
、
,且
,有下列结论:
①
;
②
;
③
;
④
.
其中正确结论的序号为______ .(填写所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8467c9cc9e33d79353824c92295006c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b9aa676fad54f444d64c488445c05c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9440f2d7ae0b2039fd68e50aec92d55f.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/559566a2c371f26140a968ba4675f1ce.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b50babdf93967de25ebcf5f09d55381.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/053bbe2262e60c7729b13fbd77729f44.png)
其中正确结论的序号为
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3卷引用:福建省南平市浦城县第三中学2023届高三上学期数学期中测试模拟卷试题(3)
福建省南平市浦城县第三中学2023届高三上学期数学期中测试模拟卷试题(3)三省三校(黑龙江哈师大附中、东北师大附中、辽宁实验中学)2022届高三下学期第一次模拟数学(理)试题(已下线)三省三校2022届高三下学期第一次模拟数学(理)试题变式题16-20
2 . 给出下列命题
①空间中所有的单位向量都相等;
②方向相反的两个向量是相反向量;
③若
满足
,且
同向,则
;
④零向量的方向是任意的;
⑤对于任意向量
,必有
.
其中正确命题的序号为( )
①空间中所有的单位向量都相等;
②方向相反的两个向量是相反向量;
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ccba3b87a8a48ac3dd5f72d00bdb1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed22b2b145a4583668cef4c4b6c5f8b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ccba3b87a8a48ac3dd5f72d00bdb1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e9d440f180d0d8fb67b89d5c370158.png)
④零向量的方向是任意的;
⑤对于任意向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ccba3b87a8a48ac3dd5f72d00bdb1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbca1e8eb590d522e9be23be09170760.png)
其中正确命题的序号为( )
A.①②③ | B.⑤ | C.④⑤ | D.①⑤ |
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2卷引用:福建省南平市浦城县2021-2022学年高二上学期期中考试数学试题
3 . 已知
为数列
的前
项和,且
,
(
).给出下列3个结论:①数列
一定是等比数列;②若
,则
;③若
,
,
成等比数列,则
.其中,所有正确结论的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f17a7b5a8970e7e8da883b2e93d3698.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7fab51121848ce166035ceab6f4e00b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc6409c388f766ff05be0e5d080bed2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8a1d093160d34fe50bbcedff8f5bc12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/001d1773df6520fba1d44007fe942836.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da4cd81500bdb43118150dbdb1541e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc858b7a95c5006a44067022da09f667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b9f0255df77526718a46c4e78b78513.png)
A.② | B.②③ | C.①③ | D.①②③ |
您最近一年使用:0次
2014·全国·一模
解题方法
4 . 已知定义在
上的偶函数满足:
,且当
时,
单调递减,给出以下四个命题:
①
;
②
为函数
图象的一条对称轴;
③
在
单调递增;
④若方程
在
上的两根为
、
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ab7ae9e51e7d2720eba7b0aba4e6221.png)
以上命题中所有正确命题的序号为___________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b54a16fd78a5464d7944e374552ed80b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbb01a7f5e9861aa185c6c63fcd58c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4db7707d6b2754808adefc9b2fb976a6.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a089c207e39a24d0d82aa853ac2bbb8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/388709d8ab3092a934f3e225a6336169.png)
④若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eb2e46f49adba6036e2624639a1b966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fbd93f99e65e319a1795952105eee5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ab7ae9e51e7d2720eba7b0aba4e6221.png)
以上命题中所有正确命题的序号为___________.
您最近一年使用:0次
2016-12-03更新
|
2389次组卷
|
10卷引用:2017届福建南平浦城县高三文上学期期中数学试卷
2017届福建南平浦城县高三文上学期期中数学试卷(已下线)2014年高考数学考前复习冲刺穿插滚动练习(一)(已下线)2013-2014学年山东省淄博六中高二下学期期中考试文科数学试卷(已下线)2015高考数学(理)一轮配套特训:2-3函数的奇偶性与周期性2016届广东省广州六中等六校高三第一次联考文科数学试卷2017届湖北襄阳四中高三七月周考二数学(文)试卷2018届高三数学训练题(9 ):函数性质的应用 江西省九江市修水县2018-2019学年高一年级数学期末统考试题(已下线)对点练12 函数的基本性质之周期性(含有三角)-2020-2021年新高考高中数学一轮复习对点练(已下线)专题13+3.2.2函数的奇偶性(基础练)-2020-2021学年高一数学十分钟同步课堂专练(人教A版2019必修第一册)
名校
解题方法
5 . 如图,在边长为2的正方形
中,点
是边
的中点,将
沿
翻折到
,连结
,
,在
翻折到
的过程中,下列说法正确的是_________ .(将正确说法的序号都写上)
的体积的最大值为
;
②当面
平面
时,二面角
的正切值为
;
③存在某一翻折位置,使得
;
④棱
的中点为
,则
的长为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f9fba8a4098c1a0515286eb8d616dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb62dd4766d11cfec3aee092b99e40c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f9fba8a4098c1a0515286eb8d616dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb62dd4766d11cfec3aee092b99e40c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec53c9cc69c2e3943ec8df5d5b5d44c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9868f77d5ab5073b6145f1c6d272122e.png)
②当面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/392469b357b12b998528499929366c02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0760712e3e2ea02b755b751e760d0c55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47d294d69caac577339f11f477b2047e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59d2d267caf23c33bf34f6e2764ada9c.png)
③存在某一翻折位置,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0efbdc4cbc82cc55bed9905f81fbfc2.png)
④棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167d31eb8432b5c0364316e5048c23dd.png)
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3卷引用:福建省浦城第一中学2023-2024学年高一下学期4月期中考试数学试题
福建省浦城第一中学2023-2024学年高一下学期4月期中考试数学试题黑龙江省哈尔滨师范大学附属中学2021-2022学年高三上学期期中考试数学(理)试题(已下线)第八章 立体几何初步(提分小卷)-【单元测试】2021-2022学年高一数学尖子生选拔卷(人教A版2019必修第二册)