名校
1 . 下列判断正确的是_________ .(填写所有正确的序号)
①若
,则
的最大值是
;
②函数
的单调递增区间是
(
);
③函数
是奇函数;
④函数
的最小正周期是
.
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44c9a11df7ecda38f75054aea50e096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0e67bc51965e14ccee599209a11e4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d599cb4a589f90b0205f24c2e1fa021e.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de4b30c1fc188508cad05730cbbc320.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5609f02991606c9aae300d72ab09a0eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99074f989e74d5ff306b4b7b7a379c1f.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79efa40e203d028db0ca6910d805e7bf.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c96424bcd7c8f8c058048e4edfe0fa76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
您最近一年使用:0次
名校
2 . 数列
满足
,
,实数
为常数,①数列
有可能为常数列;②
时,数列
为等差数列;③若
,则
;④
时,数列
递减;则以上判断正确的有______ (填写序号即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fedcf01e8f41a2610d182c32538a3ada.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cf1da18d91f7c98086553d157d1a87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e25fd655fccad3f351a4a59a4ac7b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d69fa853794ba03bf379140ecccf59c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
2020-05-25更新
|
486次组卷
|
3卷引用:2020届湖北省荆州市沙市中学高三下学期5月第三次模拟数学(理)试题
名校
3 . 已知函数
,有下列说法:
①函数
对任意
,都有
成立;
②函数
在
上单调递减;
③函数
在
上有3个零点;
④若函数
的值域为
,设
是
中所有有理数的集合,若简分数
(其中
,
为互质的整数),定义函数
,则
在
中根的个数为5;
其中正确的序号是______ (填写所有正确结论的番号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2396ddd498ea0a67976faee085a9040.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5182a8b74c894231021e20380f864fb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d01b783b94032c6075b6216f4b004422.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f96171f9701745c5aa7a12c1a56f258d.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404eebc73c42da1958ee5f45fb0dc234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab5e0524def52baf53480b8726784ed.png)
④若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc9dca0c96ffbbe2d1cd3feb48aaad70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38a9460c3fda4a1eb640321a08e7e463.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/30c656b2c02623702ed1cf97b7e31e12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cada71a249d4ba0dee9c0fa9ab5e2c13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
其中正确的序号是
您最近一年使用:0次
2020高三·浙江·专题练习
名校
4 . 已知数列
满足
,
,
,记数列
的前
项和为
,则对任意
,则①数列
单调递增;②
;③
;④
.上述四个结论中正确的是______ .(填写相应的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b705494275d3b95c0c1dfe3eaece3456.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/675b69f8ebe6f5eefc1f35656ebebc8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9fc82353331abee0828dee9b38c08f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b172a5c73a4cf34c3f5964f3c488f89d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29cb8281971fbc83ba253124037677d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9a82fdbc0527dd3b0fbfc129abe9694.png)
您最近一年使用:0次
2020-01-04更新
|
552次组卷
|
3卷引用:【新东方】杭州高三数学试卷262
名校
5 . 将以下正确命题的序号填写在横线上___________ .
①若
,
,且
与
夹角为锐角,则
;
②点O是三角形ABC所在平面内一点,且满足
,则点O是三角形ABC的重心;
③若ΔABC中,
,则ΔABC是钝角三角形;
④若
,则点P为ABC的内心.
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19ede01fff8fb96b5353de30ddb5fe25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8527f22b1b047dffea143540020f012.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e04b733c818593ed500c5fc9ccb2397.png)
②点O是三角形ABC所在平面内一点,且满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec09a159d6760fca8ae5966bf97b4e49.png)
③若ΔABC中,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9febc06d38eca1b79f6c71f3c126aed3.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5965f05ab9d3d721515717affeaa4d9.png)
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2019-12-15更新
|
1600次组卷
|
3卷引用:重庆市巴蜀中学2018-2019学年高一下学期3月月考数学试题
名校
6 . 下面这道填空题,由于一些原因造成横线上的内容无法认清,现知结论,请在横线上填写原题的一个条件,题目:已知
、
均为锐角,且
,______ ,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbadd775146ff483b684785b272a57d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e04359f06294453e7c57335c18772d5.png)
您最近一年使用:0次
2019-11-16更新
|
733次组卷
|
4卷引用:上海市交通大学附属中学2017-2018学年高一下学期开学考试数学试题
上海市交通大学附属中学2017-2018学年高一下学期开学考试数学试题6.2.1两角和与差正弦、余弦、正切公式(作业)-【上好课】2020-2021学年高一数学下册同步备课系列(沪教版2020必修第二册)(已下线)第6章 三角(章节压轴题解题思路分析)-2020-2021学年高一数学下册期中期末考试高分直通车(沪教版2020必修第二册)上海市嘉定区第二中学2021-2022学年高一下学期第一次质量检测数学试题
名校
7 . 数列
满足
,当
时,
,则是否存在不小于2的正整数
,使
成立?若存在,则在横线处直接填写
的值;若不存在,就填写“不存在”_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35029deaf02b4c1f3c831877f82d035b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5d0a73f50b3e4583f1c1b6d6bf0d18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8357fd2863b8772e2bd211b0a01d951b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ebaddcbd91bce1d53e0f3b5ead9be7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2019-09-23更新
|
444次组卷
|
3卷引用:上海市上海中学2018-2019学年高一下学期期末数学试题
解题方法
8 . 在四面体
中,
分别是
的中点.则下述结论:
①四面体
的体积为
;
②异面直线
所成角的正弦值为
;
③四面体
外接球的表面积为
;
④若用一个与直线
垂直,且与四面体的每个面都相交的平面
去截该四面体,由此得到一个多边形截面,则该多边形截面面积最大值为
.
其中正确的有_____ .(填写所有正确结论的编号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecb5153d0153f8bc487c77fee73acfa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d93949d8a15aca4e79cedb978590571.png)
①四面体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
②异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b3c032441543354c154ee67d744abb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bfe975874e9c8ac38a8c0e3354e1024.png)
③四面体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2df974afaeb5e77fe9f94354aee551cf.png)
④若用一个与直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
其中正确的有
您最近一年使用:0次
9 . 已知函数
若方程
有且只有五个根,分别为
,
,
,
,
(设
),则下列命题正确的是_____________ (填写所有正确命题的序号).
①
;②存在k使得
,
,
,
,
成等差数列;
③当
时,
;④当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a696b23bf6556ef55eeeff5379080ba9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48dc6d0827a159050e3fa55164f258b7.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/365b38a7689a8eede6820cd6f1fe952b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9b42973c53907f09f2de384c42fc5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4acd5e05f89802149b8b810c24d6ac73.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b59d678b4c4aa0ec2bb04be1b2739a5.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/365b38a7689a8eede6820cd6f1fe952b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9b42973c53907f09f2de384c42fc5f.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44a4eaa80b44625890339d6a0065c241.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/779bc714193033c738599c30487bd42f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c12f6211f669ab04f4fe1c1b279ac2e.png)
您最近一年使用:0次
名校
解题方法
10 . 已知,若定义域为
的函数
同时满足以下三条:①对任意的
,总有
;②
;③当
,
,
时,
成立,则称函数
为
函数.以下说法:(1)若函数
为
函数,则
;(2)函数
是一个
函数;(3)若函数
为
函数,则函数在区间
上单调递增;(4)若函数
、
均为
函数,则函数
(
,
,且
)必为
函数,正确的有__________ (填写序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249a976e88133f3b3733f09137cf5c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12aae852c3129efc16934aefc54201f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24cd2fe62ffe3caa1c6f7976851c9dc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2f51cd760aeff9365b51e9a85b41e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a55141a7ecd250e67d1228bdc3a1c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01bea8bf593f594c51fc7cc547482bee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/848ad4deff72f843948c14364c1e1f34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bde4329e8422d6ead3ee5daa8e456a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8610232c77741a37463feba1a66c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f371d431b6c91972b742c426c8a81ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
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