1 . 已知函数
和
,若
,现有下列4个说法:①
;②
;③
;④
.其中所有正确说法的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9cc7f5b6853e3e6d0b8ba16ea81edc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9963dcc20d9a6467213797e65f947426.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23b2604e5f8be78fbe6cafcb9b7f2f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/419504736c4934f6e0df4114c3743944.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a42526840a0fc525571737bed3d1af6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07e431fbe9d32c1fb868e4e3d2e1bd81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d9b616bddad1c2d129975b2a3067603.png)
A.①②④ | B.①②③ | C.②③ | D.①③④ |
您最近一年使用:0次
2022-07-07更新
|
601次组卷
|
2卷引用:河南省南阳市2021-2022学年高二下学期期末数学理科试题
名校
解题方法
2 . 现有编号为1,2,3的三个口袋,其中1号口袋内装有两个1号球,一个2号球和一个3号球;2号口袋内装有两个1号球,一个3号球;3号口袋内装有三个1号球,两个2号球;第一次先从1号口袋内随机抽取1个球,将取出的球放入与球同编号的口袋中,第二次从该口袋中任取一个球,下列说法不正确的是( )
A.在第一次抽到3号球的条件下,第二次抽到1号球的概率是![]() |
B.第二次取到1号球的概率![]() |
C.如果第二次取到1号球,则它来自1号口袋的概率最大 |
D.如果将5个不同小球放入这3个口袋内,每个口袋至少放1个,则不同的分配方法有150种 |
您最近一年使用:0次
名校
解题方法
3 . 已知函数
,给出下列四个结论:
①
存在无数个零点;
②
在
上有最大值;
③若
,则
;
④区间
是
的单调递减区间.
其中所有正确结论的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e89677f5c13cb2ab532758a934dc606a.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e1c9c97de9198d47306216e9961b80.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4789e8a10e8a829c39a22270f187850.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/232b4c05f31dc2eaa083f1e6e0c3bdec.png)
④区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27f935fa5d0ae1b208aff21aa468ecf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
其中所有正确结论的序号为( )
A.①②③ | B.②③④ | C.①③ | D.①②③④ |
您最近一年使用:0次
2023-09-10更新
|
883次组卷
|
4卷引用:北京市陈经纶中学2023-2024学年高二上学期开学检测数学试题
解题方法
4 . 三棱锥
中,点
是
斜边
上一点.给出下列四个命题:
①若
平面
,则三棱锥
的四个面都是直角三角形;
②若
,
,
,
平面
,则三棱锥
的外接球体积为
;
③若
,
,
,
在平面
上的射影是
内心,则三棱锥
的体积为2;
④若
,
,
,
平面
,则直线
与平面
所成的最大角为
.
其中正确命题的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c83f8945042b9c8fb2fbdac9308d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a7b5adfcac0f46a4cd19da4ebb4a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32f7e633fb547fd821e5a3cbf1bd1f48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6deecf9ccb7b7879455050633219e09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f479c521ce8a3e0013347d39a7d16e0.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54ecf4712f4ce3a52ccc695c1774cbe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f643db1101c352132c1d670e9cb30e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c83f8945042b9c8fb2fbdac9308d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d4aca03910382accfe738520daf689c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21665d21bbfb04410c78345de1fd15ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
其中正确命题的序号为( )
A.①②④ | B.①②③ | C.①③④ | D.②③④ |
您最近一年使用:0次
5 . 函数
图象上不同两点
,
处的切线的斜率分别是
,
,规定
叫做曲线
在点
与点
之间的“弯曲度”,给出以下命题:①函数
图象上两点
与
的横坐标分别为1,2,则
;②存在这样的函数,图象上任意两点之间的“弯曲度”为常数;③设点
、
是抛物线
上不同的两点,则
;④设曲线
上不同两点
,
,且
,若
恒成立,则实数
的取值范围是
.以上正确命题的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05193d9096bd9da9230acc14228aa4e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c4920bf4db93b18d4ecfdc05e310dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8605ae9897d5d6f0679b4aa80e014bda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17b3e87e9bb00d9ba09cb5660aebd76f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95ee4222da9e1c0341066ac70fd7fab8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.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/f63710d6fa1a1d49e2d6c5e01eb6478e.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/316db967a70305dcd846281b29f421db.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/c2b629bea8e22de9bfc49158e2289871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad613217bdff0b1c225e3e5ca31eec4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f2eff609c6043c2a89a6dd163fe2244.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05193d9096bd9da9230acc14228aa4e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c4920bf4db93b18d4ecfdc05e310dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08aeab36f3c3546b641470aad464ebd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d54d4444cd3d44a4e72c68a6013a21d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65d8fcaef916db4b90e9ce3054974759.png)
A.①② | B.②③ | C.③④ | D.②③④ |
您最近一年使用:0次
名校
6 . 如图,正方体
的棱长为
,
分别是棱
,
的中点,过点
的平面分别与棱
,
交于点G,H,给出以下四个命题:
![](https://img.xkw.com/dksih/QBM/2021/1/30/2647169320935424/2649294980464640/STEM/9e76dc41-c618-4f31-ab8c-f12528a0d84a.png)
①平面
与平面
所成角的最大值为45°;
②四边形
的面积的最小值为
;
③四棱锥
的体积为定值
;
④点
到平面
的距离的最大值为
.
其中正确命题的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://img.xkw.com/dksih/QBM/2021/1/30/2647169320935424/2649294980464640/STEM/9e76dc41-c618-4f31-ab8c-f12528a0d84a.png)
①平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1522a9c3b2466395570c2689a4055584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
②四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1522a9c3b2466395570c2689a4055584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
③四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11719e323e73b9512869d6aca6aaae75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6486784415f3537c9a13556c05d893.png)
④点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1522a9c3b2466395570c2689a4055584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1174142f3bba761585b6bc2653009b36.png)
其中正确命题的序号为( )
A.②③ | B.①④ | C.①③④ | D.②③④ |
您最近一年使用:0次
2021-02-02更新
|
1237次组卷
|
2卷引用:安徽省合肥一中、六中、八中2020-2021学年高二上学期期末理科数学试题
解题方法
7 . 已知三棱锥
中,
,
,
,
.关于该三棱锥有以下结论:①三棱锥
的表面积为
;②三棱锥
的内切球的半径
;③点
到平面
的距离为
;④若侧面
内的动点
到平面
的距离为
,且
,则动点
的轨迹为抛物线的一部分.其中正确结论的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a9b8e7befcb7881c294070175b1a554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d00c750e915d7f9a7460970a4199071f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077c956ac0eb05cf120e14f17413dfa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9641d01140939c44450bf39773272af6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffa37aefb6d45efe4e20ba48c2e7dfa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2c966fa765420ae547f83e28dcc997a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/266e095e1f7a31646992a5b7fac251d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
A.①② | B.③④ | C.① ②③ | D.①②③④ |
您最近一年使用:0次
名校
8 . 已知
,
表示两条不同的直线,
,
,
表示三个不同的平面,给出下列四个命题:
①
,
,
,则
;
②
,
,
,则
;
③
,
,
,则
;
④
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb083c827a7fffbff90916dea20570f.png)
其中正确命题的序号为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](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/9f435efcc7869eec21bdba1ed81dc3f5.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168f2201ca24a6b8502aa5bd1763a127.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f27b488575615d9aa6e8b0ccaf9b11b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b599a30881f97baafcc29ecae081691.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb083c827a7fffbff90916dea20570f.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb083c827a7fffbff90916dea20570f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b659403b11522c876cd7803f3dd63572.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f6c9612cc103bcc6cca5a97b917e302.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b19876be5911d16eb1d9cd8f9699460b.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb083c827a7fffbff90916dea20570f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28cee4d8d2c3ef579fe3aa2f579ad269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/026830b37d89ab160108a449aa20740f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc457ba23645bb1fbaa297c5e565f978.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc457ba23645bb1fbaa297c5e565f978.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45c124ab4f79a863f6a15cfd1365101f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b19876be5911d16eb1d9cd8f9699460b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb083c827a7fffbff90916dea20570f.png)
其中正确命题的序号为
A.①② | B.②③ | C.③④ | D.②④ |
您最近一年使用:0次
2017-11-26更新
|
1335次组卷
|
5卷引用:安徽省江淮名校2017-2018学年高二期中考试试题数学(理)
名校
9 . 已知函数
在区间
上有且仅有2个最小值点,下列判断:①
在
上有2个最大值点;②
在
上最少3个零点,最多4个零点;③
;④
在
上单调递减.其中所有正确判断的序号是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37a41c3181e6b3dd3b731ce7bd507686.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3ff8dca35b759d3051b62badd7d76bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3ff8dca35b759d3051b62badd7d76bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3ff8dca35b759d3051b62badd7d76bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/416b4d24cbb5c9bf870e8691fccc81ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/905b7ba8526b4a0b9f473e9e361fc0f5.png)
A.④ | B.③④ | C.②③④ | D.①②③ |
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2020-05-31更新
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1147次组卷
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3卷引用:2020届江西省南昌市高三第二次模拟数学(文)试题
2020届江西省南昌市高三第二次模拟数学(文)试题甘肃省白银市第一中学2020届高三5月模拟考试数学(文科)试题(已下线)第1章《常用逻辑用语》章节复习巩固提高练-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)
10 . 已知抛物线
和点D(2,0),直线
与抛物线C交于不同两点A、B,直线BD与抛物线C交于另一点E.给出以下判断:
①直线OB与直线OE的斜率乘积为-2; ②
轴; ③以BE为直径的圆与抛物线准线相切;
其中,所有正确判断的序号是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/685e48557e8850415a3e38fdab278dac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7a62166bf2156fb5f33ae5340f829da.png)
①直线OB与直线OE的斜率乘积为-2; ②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00e58e1ba4a0ad018cbab83f251b55e5.png)
其中,所有正确判断的序号是( )
A.①②③ | B.①② | C.①③ | D.②③ |
您最近一年使用:0次
2020-07-02更新
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8卷引用:2020届四川省广安市高三第二次诊断性考试试题文科数学试题
2020届四川省广安市高三第二次诊断性考试试题文科数学试题2020届四川省眉山市高三第三次诊断性考试数学(文)试题2020届四川省资阳高三三诊数学(文科)试题2020届四川省遂宁市高三二诊数学(文)试题福建省厦门市湖滨中学2020届高三下学期测试数学(文)试题(已下线)单元卷 圆锥曲线与方程(提高卷)-2020-2021学年高二数学课时同步练(苏教版选修1-1)(已下线)第2章 圆锥曲线与方程(提高卷)-2020-2021学年高二数学课时同步练(苏教版选修2-1)(已下线)解密16 抛物线方程(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)