解题方法
1 . 给出下列说法:
①数列
,
,
,
,
…的一个通项公式是
;
②当
时,不等式
对一切实数x都成立;
③函数
是周期为
的奇函数;
④两两相交且不过同一点的三条直线必在同一个平面内.
其中,正确说法序号是_________ .
①数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30b12efb03327f461e868b2ea433f9b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ce0249a3ff99c083fa4421877549db1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adbd3e8cf8325999cde03adf845d3dd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf4e57a8023222d2cdf88fad75ac496.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47212543d8a4ecf45f9509fe5ab8733b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b6d03dfc5b4ce38e17403b3b49fdc15.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8250a1f5d4211d5dc1f47e1855245916.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
④两两相交且不过同一点的三条直线必在同一个平面内.
其中,正确说法序号是
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2 . 已知有两个不相等的非零向量
,两组向量
和
均由2个
和3个
排列而成,记
,
表示
所有可能取值中的最小值,则下列命题中真命题的序号是_________________ (写出所有真命题的序号)
①
有5个不同的值;
②若
,则
与
无关;
③若
,则
与
无关;
④若
,则
;
⑤若
,
,则
与
的夹角为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/116e2e7116a7b5cd0a912ec0699ca017.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90d652b98f2db3c3002c9ef6fdc060d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e142505aaa7b64eaba9421bd0fea9e3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae98586d80f892771c90ab39eaced90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee437e6ff470c2f67b8429f57b90ae37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be118f18e17dc2420b2c7021268c6bda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/494f173fed024b28d9e2bc7a96362d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23ab55ce496dc3dfdf3f0c459ccf49cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/494f173fed024b28d9e2bc7a96362d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70fbd20f1e059a8a7f95435278b5ac81.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac408a5d33731ec9026a0a0e21d071f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/494f173fed024b28d9e2bc7a96362d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70fbd20f1e059a8a7f95435278b5ac81.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c58f8c034f39f3d2a3999d71c96913.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba4b77e77f7b2d0fc8187985a57c9902.png)
⑤若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a90612778afd628ab803cc879654743.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d79aa686572fa83f7c3e5c7c3a4da55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae98586d80f892771c90ab39eaced90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee437e6ff470c2f67b8429f57b90ae37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
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3 . 设
的内角
所对的边为
,则下列命题正确的是_____ .
①若
,则
; ②若
,则
;
③若
,则
; ④若
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b489ff67a08117de227196cb06fb6a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6e5604ce8f1fbcdfe9b42b74cdc9e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f8207ff1e1605cd98d48489bedd2a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6e5604ce8f1fbcdfe9b42b74cdc9e9d.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6f135a4908c208e3f69e0090fc9a667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b28a2f873db9f7ecbe6f2167f31f7f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b101ddff0e452d45e49484129e58bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c31b95c668a5bcc8c93479405ca6f0f.png)
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2019-05-17更新
|
1385次组卷
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3卷引用:【校级联考】广东省佛山一中、珠海一中、金山中学2018-2019学年高二下学期期中考试数学(理)试题
【校级联考】广东省佛山一中、珠海一中、金山中学2018-2019学年高二下学期期中考试数学(理)试题上海市西南位育中学2021-2022学年高二下学期期末数学试题(已下线)高二下期末真题精选(易错60题45个考点专练)(高中全部内容)(原卷版)
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4 . 以下四个命题:
①设
,则
是
的充要条件;
②已知命题
、
、
满足“
或
”真,“
或
”也真,则“
或
”假;
③若
,则使得
恒成立的
的取值范围为{
或
};
④将边长为
的正方形
沿对角线
折起,使得
,则三棱锥
的体积为
.
其中真命题的序号为________ .
①设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb417802d84e9711ce19af0c86be5fdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ddcbcf836754992811b7a329ff27e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6fb389042e95416e4f6c1c88f943050.png)
②已知命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30fd5acd3cea0866f64bc80ab4c14e3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d768c170487a3232ca3bed8e0c48d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5d7e5bffcc7e6929339d286a7fdd29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18bd4b5562b5270f84b88ddea616b289.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/748418a963bdd8e32da4bab4e4abb7ba.png)
④将边长为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc2a39beea5adf5d07aea0424ca7a64f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/664a853767dfe4df5cef491e93a16782.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/541d331f5a85132b83002863a1fad40c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad1595b660094288f0a87b0a016e69e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f2bdc0f4d813d45b4ee5a81f748fa17.png)
其中真命题的序号为
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2019-05-06更新
|
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2卷引用:【市级联考】内蒙古呼和浩特市2019年高三第二次质量普查调研考试理科数学试题
名校
5 . 设
是函数
的导函数,若
,且
,
,则下列选项中不一定正确的一项是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7994bbcf39f4dda34e877b21af71f103.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8966a5cb4b7316b072d6d811463da1d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd7716dd8ae2961305fa8a0e7f7047fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94d6020f1591693f2030a8820b169124.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3卷引用:【省级联考】河南省天一大联考2019届高三阶段性测试(五)数学(理)试题
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6 . 给出下列4个命题,其中正确命题的序号____________ .
①
;
②函数
有
个零点;
③函数
的图象关于点
对称.
④已知
,函数
的图象过点
,则
的最小值是
.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a66cf04d59592df251f07b4a59beeaf.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/983f7031cf2e3dd720310ad4d2dfce8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba100d6c7b32dd1dee139dc17fa78c2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c39ed4cb2142dc0079cc4fe4b660558f.png)
④已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077a31bd2b8e26c35bfd855e42b5d7a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/408b4286f56e5ae33b4bcce5c9bf18ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fef9380b394a4bd829c83a5a5b4c859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5560ce3b9dd633462ce1338ae137d38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e67bee78e4e358531389b3aad07e70bc.png)
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2019-04-05更新
|
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|
2卷引用:【全国百强校】宁夏石嘴山市第三中学2019届高三下学期一模考试数学(文)试题
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7 . 已知
,由所有直线
组成的集合记为
,则下列命题中的假命题是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e36c9c91220b0f2cbd4a48e8fa90e3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a32425a5824231152ef210ac320df29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
A.存在一个圆与所有直线相交 |
B.存在一个圆与所有直线不相交 |
C.存在一个圆与所有直线相切 |
D.M中的直线所能围成的正三角形面积都相等 |
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8 . 在平面直角坐标系中,定义两点
与
之间的“直角距离”为:
现给出下列4个命题:
①已知
则
为定值;
②已知
三点不共线,则必有
;
③用
表示
两点之间的距离,则
;
④若
是椭圆
上的任意两点,则
的最大值6.
则下列判断正确的为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95256de0a3744ef0eb8dc17a3f60842.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e27bd43bc4af1e3b28d0de0cc561b879.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/093b0426ad1da8380c661659b8b01a03.png)
①已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f619b3fec6e00752c391678fd7cb049.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82923ea5d3a0b7bc6a2c529959324b0d.png)
②已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3ae384fc7590ccd8ce26562fdd03288.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0079c6427b97f21116c77a2562e36cb.png)
③用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44e8bc37ed03f44470762748a8f942a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/603b5793e7dd0ecfa7d89216c25d96ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11aa56147361e68eba3c506c340d4888.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82766cfd2b7c59c7fac5b827ae5863b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82923ea5d3a0b7bc6a2c529959324b0d.png)
则下列判断正确的为( )
A.命题①,②均为真命题 | B.命题②,③均为假命题 |
C.命题②,④均为假命题 | D.命题①,③,④均为真命题 |
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4卷引用:2016届上海市虹口区高三5月模拟(三模)(文)数学试题
2016届上海市虹口区高三5月模拟(三模)(文)数学试题2016届上海市虹口区高三5月模拟(三模)(理)数学试题2016届上海市虹口区高考三模(理科)数学试题(已下线)专题1-2 简易逻辑题型归类-1
15-16高三上·上海浦东新·期中
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9 . 设直线系
(
),则下列命题中是真命题的个数是( )
①存在一个圆与所有直线相交;
②存在一个圆与所有直线不相交;
③存在一个圆与所有直线相切;
④
中所有直线均经过一个定点;
⑤不存在定点
不在
中的任一条直线上;
⑥对于任意整数
,存在正
边形,其所有边均在
中的直线上;
⑦
中的直线所能围成的正三角形面积都相等.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/213c47b80cfc2704837683068881cadf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49be008a6f00e462e1bb5e6d4dbf9a36.png)
①存在一个圆与所有直线相交;
②存在一个圆与所有直线不相交;
③存在一个圆与所有直线相切;
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
⑤不存在定点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
⑥对于任意整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8715a3f984d2627afd7c40c61347b7cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
⑦
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
A.3 | B.4 | C.5 | D.6 |
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9卷引用:上海市华东师大二附中2016届高三上学期期中数学试题
(已下线)上海市华东师大二附中2016届高三上学期期中数学试题(已下线)第02练 常用逻辑用语-2021年高考数学(文)一轮复习小题必刷(已下线)解密13 直线与圆的方程(分层训练)-【高频考点解密】2022年高考数学二轮复习讲义+分层训练(新高考专用)(已下线)专题02 《圆与方程》中的典型题(2)-2021-2022学年高二数学同步培优训练系列(苏教版2019选择性必修第一册)重庆市缙云教育联盟2022届高三第二次诊断性检测数学试题(已下线)专题1-2 简易逻辑题型归类-1(已下线)专题9-1 直线与方程题型归类-1(已下线)专题9-1 直线与方程题型归类-3(已下线)重难点突破03 直线与圆的综合应用(七大题型)
名校
10 . 以下给出五个命题,其中真命题的序号为______
①函数
在区间
上存在一个零点,则
的取值范围是
或
;
②“任意菱形的对角线一定相等”的否定是“菱形的对角线一定不相等”;
③
,
;
④若
,则
;
⑤“
”是“
成等比数列”的充分不必要条件.
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48c95f079838b4c0d5fa76320bc4f39e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3002ad1638f25e355d70d5ab63e637f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2e66b0aa8972c797c9f3ddccdd4fdd5.png)
②“任意菱形的对角线一定相等”的否定是“菱形的对角线一定不相等”;
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb6324528c9fe1e0ae58bf993e9c9d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ad117157c07abdef9baf890ccc90f8.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1b5f665d41a2d0e4980b35c1b6e578.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c855dfd821bdda47ea3acdd3bac48e0.png)
⑤“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/988b7e964e313579ab8869d67d5be007.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
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