1 . 设数列
的前
项和为
,若存在非零常数
,使得对任意正整数
,都有
,则称数列
具有性质
:①存在等差数列
具有性质
;②不存在等比数列
具有性质
;对于以上两个命题,下列判断正确的是( )
![](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/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfdfb64f33ff54ec06e98975c17b2034.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
A.①真②真 | B.①真②假 | C.①假②真 | D.①假②假 |
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解题方法
2 . 某运动员8次射击比赛的成绩为:
、
、
、
、
、
、
、
;已知这组数据的第
百分位为
,若从这组数据中任取一个数,这个数比
大的概率为
,则
的取值不可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bd7f6174d048177f092ae1a2f5af76a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb4287b5b49d2e72fac87fee4cc626d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1b172922540f145d9e48b2a65a871a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/033888bc17696a50b515afaddb0eb7c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e2fdddbe283eb69e4ce1853ae2bce79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20e27c4f3a7010a54c4b729b9e618dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41d41c47f0114cda7ec3337225e2a083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ef7486d1efbed5b4ce1a3876cd7484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09b5f459f48a235b5152eab56aeaecd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.65 | B.70 | C.75 | D.80 |
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3 . 豆腐发酵后表面长出一层白绒绒的长毛就成了毛豆腐,将三角形豆腐ABC悬空挂在发酵空间内,记发酵后毛豆腐所构成的几何体为T.若忽略三角形豆腐
的厚度,设
,点
在
内部.假设对于任意点
,满足
的点
都在
内,且对于
内任意一点
,都存在点
,满足
,则
的体积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd01f8d99637871de828cb6b87ec7b33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f13626c6a20a7b6f04afadaa0c7827bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f13626c6a20a7b6f04afadaa0c7827bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
4 . 有两个关于函数
(
为自然对数的底)的命题:①该函数在定义域上是单调函数;②该函数在区间
上不存在零点,其中( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe5e578c1c3b36f83cd35f72eb42471.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb0e705301752424a492f6277ed7774e.png)
A.①真、②真 | B.①假、②假 | C.①真、②假 | D.①假、②真 |
您最近一年使用:0次
2023-11-10更新
|
262次组卷
|
2卷引用:上海市延安中学2024届高三上学期期中数学试题
名校
解题方法
5 . 设各项均为实数的等差数列
和
的前n项和分别为
和
,对于方程①
,②
,③
.下列判断正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71fa32e4f59e269561478a3c140b768f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/170558dbf787a31bfcd6b2ace86e6d33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7287080c46b1377e2534f8139673f09.png)
A.若①有实根,②有实根,则③有实根 |
B.若①有实根,②无实根,则③有实根 |
C.若①无实根,②有实根,则③无实根 |
D.若①无实根,②无实根,则③无实根 |
您最近一年使用:0次
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6 . 下列命题为真命题的序号是( )
①![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e05a0c4bc4f6f16e4c45cbcfa8a716ee.png)
②若向量
和
反向,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2244a614a4f1b0dec95655f44da3c67.png)
③若
,则
或![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e91d4507cf164a3789dd17b55a0e6fc.png)
④若
,则
为钝角三角形
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e05a0c4bc4f6f16e4c45cbcfa8a716ee.png)
②若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2244a614a4f1b0dec95655f44da3c67.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab14f1db85f43583c37c416c1bcacd67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4b7ca4667865ebe617fa6539e8d11fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e91d4507cf164a3789dd17b55a0e6fc.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8fb2b99cac771591c4b899fb3c5cb46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.①② | B.②③ | C.③④ | D.①④ |
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名校
解题方法
7 . 给定下列四个命题:
①图像不经过点
的幂函数一定不是偶函数;
②若一条直线垂直于平面内的无穷多条直线,则这条直线垂直于这个平面;
③有两个相邻的侧面是矩形的棱柱是直棱柱;
④设数列
的前
项和为
,若
是递增数列,则数列
也是递增数列;
以上命题是真命题的序号是( )
①图像不经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc30165c18de623d0a3efb961e606d1c.png)
②若一条直线垂直于平面内的无穷多条直线,则这条直线垂直于这个平面;
③有两个相邻的侧面是矩形的棱柱是直棱柱;
④设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.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/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cce224c28ca451c4f105dc3b077736cb.png)
以上命题是真命题的序号是( )
A.①② | B.②③ |
C.③④ | D.①③ |
您最近一年使用:0次
2023-02-07更新
|
210次组卷
|
3卷引用:上海市延安中学2022届高三上学期期中数学试题
名校
8 . 掷两颗骰子,观察掷得的点数;设事件A为:至少一个点数是奇数;事件B为:点数之和是偶数;事件A的概率为
,事件B的概率为
;则
是下列哪个事件的概率( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b6f8cb2faaad82b53b2a66ee817a37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/108ab49f370919e730e3567070deee65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bfc99addbf5760801e97ce1a53165bb.png)
A.两个点数都是偶数 | B.至多有一个点数是偶数 |
C.两个点数都是奇数 | D.至多有一个点数是奇数 |
您最近一年使用:0次
2022-12-15更新
|
1406次组卷
|
8卷引用:上海市长宁区2023届高三上学期一模数学试题
上海市长宁区2023届高三上学期一模数学试题(已下线)10.1.4 概率的基本性质 (精讲)-【精讲精练】2022-2023学年高一数学下学期同步精讲精练(人教A版2019必修第二册)北京市人大附中北京经济技术开发区学校2022-2023学年高二下学期第一次月考数学试题7.3 频率与概率测试卷-2022-2023学年高一上学期数学北师大版(2019)必修第一册第十章《概率》单元达标高分突破必刷卷(培优版)-《考点·题型·技巧》(已下线)10.1.3-10.1.4 古典概型、概率的基本性质 (1)-《考点·题型·技巧》(已下线)第04讲 随机事件、频率与概率(六大题型)(讲义)(已下线)10.1.4?概率的基本性质——随堂检测
名校
9 . 函数
图象上存在两点
,
满足
,则下列结论成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73cbe0d130e4b7c34669a8bb233612dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f56635924584077092ac3c7dd68837b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce32bcbc07c12f0d60a36403dcbf6872.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd571834036b59b3e3fd5199f31d6308.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2022-11-26更新
|
827次组卷
|
5卷引用:上海市延安中学2024届高三上学期开学考数学试题
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10 . 设复数
,
在复平面所对应的点为
与
,则关于点
、
与以原点为圆心,10为半径的圆
的位置关系,描述正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b372191466358e8f8cad6397a25a228.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d618a37760a2b378c03d53ee56ce06c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb8477bcc87b1401970171bf57b9ecb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2c1fd680a5d355178273c6d6025eb80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb8477bcc87b1401970171bf57b9ecb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2c1fd680a5d355178273c6d6025eb80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.点![]() ![]() ![]() ![]() | B.点![]() ![]() ![]() ![]() |
C.点![]() ![]() ![]() | D.点![]() ![]() ![]() |
您最近一年使用:0次
2022-06-28更新
|
280次组卷
|
3卷引用:上海市延安中学2021-2022学年高一下学期6月质量调研数学试题