2023高一·全国·专题练习
名校
1 . 将样本容量为100的样本数据分为4组:
,得到频率分布直方图如图所示,则下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1196534a75f35995a3072183dbe69abd.png)
A.样本数据分布在![]() |
B.样本数据分布在![]() |
C.样本数据分布在![]() |
D.估计总体数据大约有![]() ![]() |
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9卷引用:贵州省黔西南州2022-2023学年高一下学期期末教学质量检测数学试题
贵州省黔西南州2022-2023学年高一下学期期末教学质量检测数学试题(已下线)第37讲 总体取值规律的估计(已下线)第九章:统计 章末检测试卷-【题型分类归纳】(已下线)第8讲 统计与概率(1)-《考点·题型·密卷》河北省衡水市武强县武强学校2023-2024学年高二上学期开学考数学试题(已下线)专题08 统计图表与用样本估计总体必考点-《期末真题分类汇编》(江苏专用)湖南省湘潭市岳塘区2023-2024学年高一下学期6月质量检测卷数学试题(已下线)9.2.1总体取值规律的估计【第二练】“上好三节课,做好三套题“高中数学素养晋级之路(已下线)专题4.1统计(2) -重难点突破及混淆易错规避(人教A版2019必修第二册)
2 . 已知双曲线
的两个焦点
的坐标分别是
,且双曲线
经过圆
的圆心
.
(1)求
的值;
(2)设圆
与双曲线
的渐近线交于
两点,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b48c6c9aeafb2bcf70a3be664cdd4004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/461aa4d9560dee900d1d750fce45967f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)设圆
![](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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
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解题方法
3 . 我们通常称离心率为
的椭圆为“黄金椭圆”,称离心率为
的双曲线为“黄金双曲线”,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/029d393bb07b7140905b85f550519de4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5569c257d122b7837b636d732033531.png)
A.正![]() ![]() ![]() ![]() ![]() |
B.已知![]() ![]() ![]() |
C.“黄金椭圆”上存在一点,该点与两焦点的连线互相垂直 |
D.“黄金双曲线”的实半轴长,一个焦点到一条渐近线的距离,半焦距能构成等比数列 |
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4 . 如图,在三棱柱
中,
平面
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/14/6eadcb83-a460-458c-941c-a66ca76d2480.png?resizew=188)
(1)求证:
;
(2)若
,直线
与平面
所成的角为
,求平面
与平面
的夹角余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a82d812b0b0b20de301190cb6d5648c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cc6184b191e6da43911e701121517e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/14/6eadcb83-a460-458c-941c-a66ca76d2480.png?resizew=188)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7870cee007535b979d35bc7feab75616.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb5a97c6b563f00d0a71aef901eb7277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cc6184b191e6da43911e701121517e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac09dc1ca2cdd7aef28c218763d3e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea848cd2aa3a464618020475097949fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
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5 . 长为3的线段
的两个端点
和
分别在
轴和
轴上滑动,点
为线段
靠近点
的三等分点,则点
的轨迹方程为__________ .若直线
的方程为
,则点
到直线
的距离的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1fc37ac7805d65dd49e2e54643e819f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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解题方法
6 . 点
,点
在
轴上,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c6f80da33b40c4067c0c1f3a8fa1bd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3979f27823cdcba516dfa885d8afe19d.png)
A.![]() | B.5 | C.4 | D.![]() |
您最近一年使用:0次
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解题方法
7 . 已知函数
是
上的增函数,则实数k的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b642d488b8d137267d7a7423c43c243.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7a19bbab2270fc8e694527e801556cf.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-02-11更新
|
460次组卷
|
2卷引用:贵州省六盘水市2022-2023学年高一上学期期末教学质量监测数学试题
8 . 已知函数
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d4fd75f40c2e32eeb7b16ba96d3f3a7.png)
A.若![]() ![]() |
B.若方程![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
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解题方法
9 . 已知函数
的图象无限接近直线
但又不与该直线相交.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/8/f9361a04-ad71-4cdb-b3e1-356127d4f498.png?resizew=243)
(1)求函数
的解析式,并画出图象;
(2)若
(
且
),求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f158257bf0270920a5eed6548bea477.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107babba45f110012183dc4dc54490f7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/8/f9361a04-ad71-4cdb-b3e1-356127d4f498.png?resizew=243)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02eee0d5a4ce3c292819a14a5ae9a630.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/060e7930731eddbcfac592b808e9b698.png)
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解题方法
10 . 双曲线
的两个焦点为
,
为双曲线
上一点,若
,则
的面积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c75eba5051fb2a61e0f5ac08e658d8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.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/c2427943a38dcd93c9ec9b735ffc9fe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
您最近一年使用:0次