1 . 已知
,且A的所有子集的元素之和各不相同,则下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aba077d2b735029a0fa6e61522f64829.png)
A.集合A中最多有6个元素 |
B.集合A中最多有7个元素 |
C.若![]() ![]() |
D.若![]() ![]() |
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解题方法
2 . 如果数列
满足
那么( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ee0224263004736eb57f394d9c1bb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bbbcab68dbc0a167caf703e5fb8a9c6.png)
A.数列![]() |
B.当![]() ![]() |
C.当数列![]() ![]() |
D.当存在正整数m使得![]() ![]() |
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3 . 如图,已知椭圆
,直线
与椭圆C交于A,B两点,
为椭圆C上的动点.设直线
分别与直线
交于M,N两点,则( )
![](https://img.xkw.com/dksih/QBM/2023/4/6/3210686358052864/3292600941617152/STEM/02b47bcc35134afb9ee7366a3345bf6a.png?resizew=301)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65f93f8dc10a01556b29c610f773289b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38cd2a180ae300bbf2388a709e4c28e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b520f0708edf71617492bb512e7678d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790ef3382b1c731f2885eecfd92c2a86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d585d2d6643471640905d234d9538c5.png)
![](https://img.xkw.com/dksih/QBM/2023/4/6/3210686358052864/3292600941617152/STEM/02b47bcc35134afb9ee7366a3345bf6a.png?resizew=301)
A.椭圆C上满足![]() |
B.椭圆C上满足![]() |
C.y轴上满足![]() |
D.y轴上满足![]() |
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4 . 对1,2,3,4,5,6的任意2个全排列
和
,
的值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc79b7b3c2ce9c244eccc84d969ca9a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d48aca3e46d69316f98fe774b81e1a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a21a5d0039149ea3417e2c78efb52765.png)
A.161 | B.162 | C.172 | D.441 |
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解题方法
5 . 如图,
的外心为O,三条高线
交于一点H,
与
的延长线交于点I,
与
的延长线交于点J,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/14/64665dd3-162b-4351-b446-2c929d0ea8c7.png?resizew=174)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76c42f73b6b4cd5308071e6bedb83049.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21037e170bdbb322558e79c40c00b454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00bab17635a999236e8d2e35017a208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/14/64665dd3-162b-4351-b446-2c929d0ea8c7.png?resizew=174)
A.![]() | B.![]() |
C.![]() | D.![]() |
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6 . 已知平面上四个不同点
,在每两个点之间连线得到6条线段.记
,
,在任意三点不共线的所有四点组
中,把
的取值集合记为P,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4addb17d99993f4beb82d63d203bb33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/730092e1e3049e0384167aa8d35dbcc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a390f2ccf898f5293b2230f81fa0338d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4addb17d99993f4beb82d63d203bb33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06f7620ad63ff40f9e934bf425f42ef2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
7 . 正整数1,2,3,…n的全排列
满足
称为n项更列,记n项更列的个数为
,则下列命题中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/086eb439f6a1578fdba904825340772d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a806110ce39571c09a94c2af5b5d9f8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3282e5fde4ae53fcb1bb072a685304c9.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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解题方法
8 . 空间中与两两异面的三条直线a,b,c都相交的直线l的条数可为( )
A.至多1条 | B.不少于3条 | C.至多3条 | D.无穷多条 |
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9 . 等差数列
满足
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dda480afa7f33f5f90dddc535855706d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bac5e51ca213f58ee23d3826aefa57e9.png)
A.![]() | B.![]() |
C.n的最大值为13 | D.n的最大值为26 |
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解题方法
10 . 已知
且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a82d846821aaed6cb8a4eabfb593208.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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