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1 . 给出下列命题,其中说法正确的是( )
A.若A,B为两个随机事件,则![]() |
B.若事件A,B,C两两互斥,则![]() |
C.若A,B为互斥事件,则![]() |
D.若![]() ![]() |
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2024-03-24更新
|
521次组卷
|
11卷引用:北京市大兴区第一中学2023-2024学年高二上学期10月月考数学试题
北京市大兴区第一中学2023-2024学年高二上学期10月月考数学试题2023版 湘教版(2019) 必修第二册 过关斩将 第5章 5.2 概率及运算 5.2.2 概率的运算(已下线)高一下学期数学期末押题卷02-期末高分必刷题型(已下线)专题13 概率综合(2)-期中期末考点大串讲(已下线)第九章 第三节 随机事件的概率与古典概型 讲(已下线)10.1.4 概率的基本性质 (导学案)-【上好课】(人教A版2019必修第二册)(已下线)第十章概率 -【上好课】(人教A版2019必修第二册)(已下线)15.3 互斥事件和独立事件(2)-【帮课堂】(苏教版2019必修第二册)(已下线)专题23 随机事件与概率-《重难点题型·高分突破》(人教A版2019必修第二册)(已下线)专题10.7 概率全章综合测试卷(基础篇)-举一反三系列(人教A版2019必修第二册)(已下线)专题11 概率归类(1) -期末考点大串讲(苏教版(2019))
2 . 已知椭圆
的上、下顶点为
,左、右焦点为
,四边形
是面积为2的正方形.
(1)求椭圆
的方程;
(2)若
是椭圆
上异于
的点,判断直线
和直线
的斜率之积是否为定值?如果是,求出定值;如果不是,请说明理由;
(3)已知圆
的切线
与椭圆
相交于
两点,判断以
为直径的圆是否经过定点?如果是,求出定点的坐标;如果不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7429189611d95c26864ec248119af9d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6939353e2387477b4149848a2818e63.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](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/04d468be20b4d43f5de75416de20e8ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24006d28116bc097933cc90bcc0ea69f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2451835b9ad821bc17a317bc0189a38.png)
(3)已知圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c83f9e7f57d03304c3d0e51f43aa5e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
您最近一年使用:0次
解题方法
3 . 摩天轮是一种大型转轮状的机械建筑设施,游客坐在摩天轮的座舱里慢慢地往上转,可以从高处俯瞰四周景色.如图,某摩天轮最高点距离地面高度为
,转盘直径为
,设置有48个座舱,开启后按逆时针方向匀速旋转,游客在座舱转到距离地面最近的位置进舱,转一周大约需要
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/4/b9e74533-cc76-4962-a0c8-e7a1b7e7f98d.png?resizew=156)
(1)游客甲坐上摩天轮的座舱,开始转动
后距离地面的高度为
,求在转动一周的过程中,
关于
的函数解析式;
(2)求游客甲在开始转动
后距离地面的高度;
(3)若甲、乙两人分别坐在两个相邻的座舱里,在运行一周的过程中,求两人距离地面的高度差
(单位:
)关于
的函数解析式,并求高度差的最大值(精确到0.1).
(参考公式与数据:
;
;
.)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b6363a9c7ab19b53bc1ddae6521a30a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba52ced0811df98fedb575535b24257b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a628160b971aca3528d447882fa45fe.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/4/b9e74533-cc76-4962-a0c8-e7a1b7e7f98d.png?resizew=156)
(1)游客甲坐上摩天轮的座舱,开始转动
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cec183057249005d5f234c4bea5de7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51d847196d7a43900fb1ea0d95cd6fd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)求游客甲在开始转动
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/276544dddf27f079144b8db1e570b9ed.png)
(3)若甲、乙两人分别坐在两个相邻的座舱里,在运行一周的过程中,求两人距离地面的高度差
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(参考公式与数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/258529c3397cff79706c3b62bdf3809e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5784c7060dacfbf93a57a81c97798a45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c57f1b3142e091f1ef8e596ad675d42.png)
您最近一年使用:0次
2024-02-05更新
|
437次组卷
|
2卷引用:北京市大兴区2023-2024学年高一上学期期末检测数学试题
解题方法
4 . 已知函数
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
______ ;若
,且
,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfe819909452c1edb8e1f0e3f1adc562.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28638f8c054a7bb4d9b46fde330bc76f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e14206c7d228a7c2259a7b27da8813.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aba934874cc9f2ab272fdff67ea23bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
您最近一年使用:0次
5 . (1)求值:
;
(2)已知
,
,用
,
表示
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f7e362036b1558f17306d392dfc467a.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5aca7f0097fc0562c40375ce6756d56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57115371320bf8c2b5cde136392696c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/627bfd2e668a89ae153557414dd266aa.png)
您最近一年使用:0次
解题方法
6 . 已知抛物线
,过
的焦点
且垂直于
轴的直线交
于不同的两点
,且
.
(1)求抛物线
的方程;
(2)若过点
的直线
与
相交于不同的两点
为线段
的中点,
是坐标原点,且
与
的面积之比为
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c4963d116d232acb4f69e86455cdf81.png)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15ed90ebf0061c8a79beed307fc1719a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/229607a6ad0b43746d19083d7563a270.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4f02028a3847c4807c2d3cf0ea7efb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7deb0e1ce39cf1d5a9ac1e0adb07e6fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
7 . 经过原点
且与直线
垂直的直线方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b2c84e7b41a841a230ed5f8a42309aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3f999bcdcdc1b9d56e0639cadd96dbd.png)
您最近一年使用:0次
8 . 平面内与定点
距离之积等于
的动点的轨迹称为双纽线.曲线
是当
时的双纽线,
是曲线
上的一个动点,则下列结论不正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ad54248a8b3ae4ac8ec4434960ca484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5abd0f31afe865a63682ccd4a18a0e0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f5b763032c085a1e60822d8dc1b3605.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.曲线![]() |
B.满足![]() ![]() |
C.![]() |
D.若直线![]() ![]() ![]() ![]() |
您最近一年使用:0次
解题方法
9 . 过点
且被圆
截得的弦长最大的直线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77540f4be8aa74394a0cf8e1844cf142.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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10 . 两条平行直线
与
间的距离等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42498f6e0fc9a61c9857b70a87f02c5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baabfd32465e9e50409413d9c1358279.png)
A.![]() | B.1 | C.![]() | D.2 |
您最近一年使用:0次