名校
解题方法
1 . 如图,在正四棱柱
中,M是
的中点,
,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/19/d0bcc29e-1d97-450e-bded-f3c0319bbada.png?resizew=108)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f21c7c194c5bc2986a21fd441c81495.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/19/d0bcc29e-1d97-450e-bded-f3c0319bbada.png?resizew=108)
A.![]() | B.![]() ![]() |
C.二面角![]() ![]() | D.![]() ![]() ![]() |
您最近一年使用:0次
2024-03-06更新
|
315次组卷
|
3卷引用:河南省信阳市固始县2023-2024学年高二上学期期末考试数学试卷
解题方法
2 . 在第19届杭州亚运会上中国乒乓球队勇夺6金.比赛采用“11分制”规则:11分制乒乓球比赛,每赢一球得1分,当某局打成
平后,每球交换发球权,先多得2分的一方获胜,该局比赛结束.甲、乙两位亚运选手进行单打比赛,假设甲发球时甲得分的概率为0.7,乙发球时乙得分的概率为0.5,各球的结果相互独立,在某局双方
平后,甲先发球,两人又打了X个球该局比赛结束.
(1)求
且甲获胜
;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db3c3ffbae2f4ed36909dca6aecbad18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db3c3ffbae2f4ed36909dca6aecbad18.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/614c460c113270a46268f0ad2df94b5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efd5ce4f428d6bc58cb46d861a02b2f.png)
您最近一年使用:0次
2024-02-28更新
|
494次组卷
|
3卷引用:河南省信阳市固始县2023-2024学年高二上学期期末考试数学试卷
解题方法
3 . 设
为数列
的前n项和,
.
(1)求
的通项公式;
(2)求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4312c054f84693e4a3816b83f16f977b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25cbe66fe4e84b4022721122baab4a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2024-02-28更新
|
886次组卷
|
2卷引用:河南省信阳市固始县2023-2024学年高二上学期期末考试数学试卷
4 . 直线m,n的方向向量分别为
,平面
的法向量为
,则下列选项正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4dc1ee879eea11d534c11040cae95ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ff409cd3886c767afb13c9a869c5f23.png)
A.若![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
您最近一年使用:0次
解题方法
5 . 若集合
,
,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c335f800a022acf3efb3a76a0336f97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a953b385f2bf3ea0adb7e72bccb0861f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
6 . 已知数列
为等差数列,前
项和为
,若
,则
等于( )
![](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/320fe00c332dacd497e3be0123fac16b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/addee6ce5163a2580888ce2da22714af.png)
A.2023 | B.2024 | C.2025 | D.2048 |
您最近一年使用:0次
2024-02-20更新
|
1473次组卷
|
3卷引用:河南省信阳市固始县2023-2024学年高二上学期期末考试数学试卷
7 . 直线
的方向向量分别为
,
,平面
的法向量为
,则下列正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7a1df960feef63dec4790d63f52279.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1b8a88a16125366536cb4ad658e0cf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
A.若![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
您最近一年使用:0次
解题方法
8 . 已知动点
与定点
的距离等于点
到
的距离,设动点
的轨迹为曲线
.椭圆
的一个焦点与曲线
的焦点相同,且长轴长是短轴长的
倍.
(1)求
与
的标准方程;
(2)有心圆锥曲线(椭圆,圆,双曲线)有下列结论:若
为曲线
上的点,过点
作
的切线
,则切线
的方程为
.利用上述结论,解答问题:过
作椭圆
的切线
(
为切点),求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be92f0e0012a7696c78e3e00513edefd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(2)有心圆锥曲线(椭圆,圆,双曲线)有下列结论:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38800148262fa23e5a973a3bd355a9a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51eb853f87f7a95e481f9126426afbe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/436a0e9cea21b0174bc40e2af8cc03f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03df57efff473b3cfeb8503796b7d6b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a11cb104b04c4e6a1be700e81da279a.png)
您最近一年使用:0次
2024-02-19更新
|
113次组卷
|
2卷引用:河南省信阳市固始县2023-2024学年高二上学期期末考试数学试卷
解题方法
9 . 已知双曲线
过点
,离心率为
,斜率为k的直线l交双曲线C于A,B两点,且直线
的斜率之和为0.
(1)求双曲线C的方程;
(2)是否存在直线l,使得
是以P为顶点的等腰三角形,若存在,求出直线l的方程;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f13bf66fc845b115de4ec45b4be0e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/839c7616cd0d90265f4b2c9c021254fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790ef3382b1c731f2885eecfd92c2a86.png)
(1)求双曲线C的方程;
(2)是否存在直线l,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
您最近一年使用:0次
2024-02-19更新
|
119次组卷
|
2卷引用:河南省信阳市固始县2023-2024学年高二上学期期末考试数学试卷
10 . 直线
在y轴上的截距为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb5588869f5f671d8fd221d871846a4b.png)
A.![]() | B.![]() | C.1012 | D.2024 |
您最近一年使用:0次
2024-02-19更新
|
279次组卷
|
2卷引用:河南省信阳市固始县2023-2024学年高二上学期期末考试数学试卷