解题方法
1 . 已知正方体
的棱长为2,M为
的中点,N为正方形
所在平面内一动点,以
所在直线分别为x轴、y轴、z轴,建立空间直角坐标系:
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/2/0fa82687-f52a-415b-bb6a-dd5b85bd07dd.png?resizew=152)
(1)若
与平面
所成的角为
,求N的轨迹方程W;
(2)若
与
所成的角为
,求N的轨迹方程
;
(3)直线
与(2)中
的曲线方程有且只有一个公共点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e1dd635cae84319a62ed68af58901b2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/2/0fa82687-f52a-415b-bb6a-dd5b85bd07dd.png?resizew=152)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9932b14d1f7f381263281a50100c27b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
(3)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6767830cc1811f0f4ea5a008fdc7e723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2 . 圆
和圆
的公共弦
所在的直线方程是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0294d70391ae804b6582dad2d066091d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba3ced927bead66a5bd391ebc9a7dcf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
3 . 已知抛物线
的焦点F,点
在抛物线C上.
(1)求
;
(2)过点M向x轴作垂线,垂足为N,过点N的直线l与抛物线C交于A,B两点,证明:
(O为坐标原点).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df40ba57bb5819b4aaa38d514500052.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cda12642d59a5817e8990c43de20535.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b8aed33984ccc91282d8a1c2be27cd0.png)
(2)过点M向x轴作垂线,垂足为N,过点N的直线l与抛物线C交于A,B两点,证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3825ccc273ef9a672a606432d165b866.png)
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解题方法
4 . 如图,在四棱锥
中,底面ABCD为平行四边形,
,
,
底面
,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/1/64a82cd6-769d-4638-a1f6-362e5a0161ad.png?resizew=164)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf80b036459da6dcb841a4bbe3859fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a340e906c06568ec3af87e5602435400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/1/64a82cd6-769d-4638-a1f6-362e5a0161ad.png?resizew=164)
A.![]() |
B.![]() ![]() ![]() |
C.异面直线![]() ![]() ![]() |
D.平面![]() ![]() ![]() |
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解题方法
5 . 已知直线l:
与抛物线
交于A,B两点.若
,则m的值______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54479885d4ab2f717d2e97718da04b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac62b1ade07205ae2693ec1ab135def.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e48867e261c61d24a0a1a4f7ff4627c3.png)
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6 . 比较下列各组数的方差大小,由小到大正确的排序是( )
①5,5,5,5,5,5,5,5,5; ②4,4,4,5,5,5,6,6,6;
③3,3,4,4,5,6,6,7,7; ④2,2,2,2,5,8,8,8,8.
①5,5,5,5,5,5,5,5,5; ②4,4,4,5,5,5,6,6,6;
③3,3,4,4,5,6,6,7,7; ④2,2,2,2,5,8,8,8,8.
A.①②③④ | B.①③②④ |
C.①②④③ | D.③②④① |
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7 . 设甲、乙、丙三台机器是否需要照顾相互之间没有影响,已知在某一小时内,甲、乙都不需要照顾的概率为0.6,甲、丙都不需要照顾的概率为0.4,乙、丙都需要照顾的概率为0.125.
(1)分别求甲、乙、丙每台机器在这一小时内不需要照顾的概率;
(2)计算这一小时内至少有一台机器不需要照顾的概率.
(1)分别求甲、乙、丙每台机器在这一小时内不需要照顾的概率;
(2)计算这一小时内至少有一台机器不需要照顾的概率.
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8 . 某中学为了解该校高三年级学生数学学习情况,对一模考试数学成绩进行分析,从中抽取了200名学生的成绩作为样本进行统计(若该校全体学生的成绩均在
分),按照
,
,
,
,
,
,
,
的分组做出频率分布直方图如图所示,若用分层抽样从分数在
内抽取17人,则抽得分数在
的人数为6人.
(2)该高三数学组准备选取数学成绩在前4%的学生进行培优指导,若小明此次数学分数是132,请你估算他能被选取吗?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a2c259c29b98b8ca215c88c92c1c9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea146d8ec45e63ad14683fd31064de66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e77699e3d1ddc6e698a640573a7ef787.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d90faf85d1548242098a6fe3accd84f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dd615c194ebc63b5219cbbcafd53448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae34f7d349643570a8d9960fb6b3bf21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e2b4990e11bd1b65f75b1498d7a2815.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63cae95a57750bcf5d15b2a4cb39873f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2901c9bc779f1f589d6de9b7674349e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c391d1ca31fa5f2b6de158bb3b47791.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e77699e3d1ddc6e698a640573a7ef787.png)
(2)该高三数学组准备选取数学成绩在前4%的学生进行培优指导,若小明此次数学分数是132,请你估算他能被选取吗?
您最近一年使用:0次
2024-02-29更新
|
471次组卷
|
8卷引用:四川省成都市实验外国语学校五龙山校区2023-2024学年高二上学期第二次阶段性考试数学试题
四川省成都市实验外国语学校五龙山校区2023-2024学年高二上学期第二次阶段性考试数学试题(已下线)第14章 统计(基础卷)-重难点突破及混淆易错规避(苏教版2019必修第二册)(已下线)9.2.2?总体百分位数的估计——随堂检测(已下线)9.2.2总体百分位数的估计+9.2.3总体集中趋势的估计+9.2.4总体离散程度的估计【第二课】“上好三节课,做好三套题“高中数学素养晋级之路(已下线)14.4 用样本估计总体(2)-【帮课堂】(苏教版2019必修第二册)(已下线)专题14.1统计(2))-重难点突破及混淆易错规避(苏教版2019必修第二册)(已下线)专题01 高一下期末真题精选(2)-期末考点大串讲(人教A版2019必修第二册)(已下线)核心考点9 统计 B提升卷 (高一期末考试必考的10大核心考点)
9 . 数据
的第63百分位数是
,则实数
的最小值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3940b1cebe654492151daea7af075023.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca74e3bfe66db258ab238ecf3b08b47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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10 . 在平面直角坐标系
中,曲线
的参数方程为
(
为参数),以坐标原点
为极点,
轴的正半轴为极轴建立极坐标系,曲线
的极坐标方程为
.
(1)写出曲线
的极坐标方程,曲线
的直角坐标方程;
(2)曲线
与曲线
,如有公共点,求出公共点坐标;如无公共点,设
分别为曲线
与曲线
上的动点,求线段
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec69563337ac6eef89eb54ef78d4c6a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a73b768ad1a4df5ff84dfd12caae2cd.png)
(1)写出曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
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2024-02-27更新
|
465次组卷
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5卷引用:四川省成都市第七中学2024届高三下学期开学考试数学(理)试题