名校
解题方法
1 . 在
中,内角
所对的边分别为
,且
.
(1)求角
;
(2)射线
绕
点旋转
交线段
于点
,且
,求
的面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29af2e8da863dc2b2ec210ff0272b4d6.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)射线
![](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/b2ff7caec4fdd8fb54a3ffbff9692414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1364213f546b37f8764ddcb59e36ae4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2024-05-16更新
|
1439次组卷
|
7卷引用:重庆市乌江新高考协作体2024届高考模拟监测(二)数学试题
名校
解题方法
2 . 记
的内角
的对边分别为
,已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fdac09118130a5c43914fd2ee3ad790.png)
(1)求
;
(2)设
的中点为
,若
,且
,求
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce7af7c5df749c6fa9bbe87faa72c66d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88f2599ca8b6b683e57a82699c8b1ebb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fdac09118130a5c43914fd2ee3ad790.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7e8cfc92fac8debb8bc06293ccc1685.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb573197384b9410cb951a4d1e301b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2024-04-14更新
|
731次组卷
|
4卷引用:重庆市涪陵第五中学校2024届高三下学期第二次适应性考试数学试题
重庆市涪陵第五中学校2024届高三下学期第二次适应性考试数学试题湖南省部分学校2024届高三上学期9月联考数学试卷(已下线)模块五 专题5 全真拔高模拟1(高一人教B版期中)(已下线)模块五 专题5 全真拔高模拟1(苏教版期中研习高一)
名校
3 . 某景区的索道共有三种购票类型,分别为单程上山票、单程下山票、双程上下山票.为提高服务水平,现对当日购票的120人征集意见,当日购买单程上山票、单程下山票和双程票的人数分别为36、60和24.
(1)若按购票类型采用分层随机抽样的方法从这120人中随机抽取10人,再从这10人中随机抽取4人,求随机抽取的4人中恰有2人购买单程上山票的概率.
(2)记单程下山票和双程票为回程票,若在征集意见时要求把购买单程上山票的2人和购买回程票的m(
且
)人组成一组,负责人从某组中任选2人进行询问,若选出的2人的购票类型相同,则该组标为A,否则该组标为B,记询问的某组被标为B的概率为p.
(i)试用含m的代数式表示p;
(ii)若一共询问了5组,用
表示恰有3组被标为B的概率,试求
的最大值及此时m的值.
(1)若按购票类型采用分层随机抽样的方法从这120人中随机抽取10人,再从这10人中随机抽取4人,求随机抽取的4人中恰有2人购买单程上山票的概率.
(2)记单程下山票和双程票为回程票,若在征集意见时要求把购买单程上山票的2人和购买回程票的m(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17bda892497cea43df67db57b4e2a07a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a949b947e9961d4d68bfeb4e24ef40f9.png)
(i)试用含m的代数式表示p;
(ii)若一共询问了5组,用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac27392eea2125f66c5a6292c94f3bc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac27392eea2125f66c5a6292c94f3bc3.png)
您最近一年使用:0次
2024-03-23更新
|
2741次组卷
|
9卷引用:重庆市乌江新高考协作体2024届高考模拟监测(一)数学试题
重庆市乌江新高考协作体2024届高考模拟监测(一)数学试题重庆市涪陵第五中学校2024届高三下学期第二次适应性考试数学试题重庆市第十一中学校2023-2024学年高三第九次质量检测数学试题河北省沧州市沧县中学2024届高三下学期3月高考模拟测试数学试题贵州省安顺市第二高级中学2023-2024学年高三下学期第一次模拟考试数学试题(已下线)压轴题08计数原理、二项式定理、概率统计压轴题6题型汇总广东省广雅中学2024届高三下学期高考考前适应性考试数学试题(已下线)概率、随机变量及其分布-综合测试卷A卷(已下线)第七章 随机变量及其分布总结 第三练 方法提升应用
名校
4 . 如图1,在四边形
中,
,
,
,将
沿着
折叠,使得
(如图2),过D作
,交
于点E.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/21/9bc8b8dc-8ded-4e5e-8520-df06cedcb6ce.png?resizew=296)
(1)证明:
;
(2)求
;
(3)求平面
与平面
的夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b512c0498d251e6859686c657b5be0ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18120a244d3a1f9c1688bf53eb2ad775.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e32513c66bca1e2d1706d50a6615df1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec9e2a600d4675d510c58b984027e33d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/21/9bc8b8dc-8ded-4e5e-8520-df06cedcb6ce.png?resizew=296)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b757f0c42ae5c9a2d6a4b19e5877b27.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
(3)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c66d99a6a8415ddad22bbed33b64cfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
您最近一年使用:0次
2024-03-07更新
|
395次组卷
|
2卷引用:重庆市杨家坪中学2023-2024学年高三下学期第二次月考数学试题
名校
解题方法
5 . 已知数列
的前
项和为
,且
,
.
(1)求
,
,并证明:数列
为等比数列;
(2)求
的值.
![](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/caac5bbd7b5eef4303a99e16f1701806.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30ced72f99d3e93cec09c40f24089b86.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e2de706dc5f0439b989273a5367f63a.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e85fb87907fa5a97b3ad0261b0c0addf.png)
您最近一年使用:0次
2024-03-03更新
|
1442次组卷
|
5卷引用:重庆市缙云教育联盟2024届高三下学期3月月度质量检测数学试题
6 . 已知圆
过点
和点
,圆心在直线
上.
(1)求圆
的方程,并写出圆心坐标和半径的值;
(2)若直线
经过点
,且
被圆
截得的弦长为4,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e18e9b80fdeaa8bd3cf97b3c214448f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1282cc43ebf4b459832fec04d805989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e6e15daf7b14dbff32c390f4984dcfb.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f047e7ed44a3897ec79c6c6a0c641fcc.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2024-02-24更新
|
219次组卷
|
2卷引用:重庆市乌江新高考协作体2024届高三下学期开学数学试题
名校
解题方法
7 . 如图,在长方体
中,
,
,M为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/21/672dedfc-fbf0-42fd-9d72-7cbf5e583964.png?resizew=138)
(1)证明:
;
(2)若
,求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21ea52361458ce2e49ed0fe99d8e6c02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92535536bd3c2761724fd058427f95a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/21/672dedfc-fbf0-42fd-9d72-7cbf5e583964.png?resizew=138)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9565316cfa197f2a25256b0b8e9b408.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4aca5534bce25acaeb7379deed8f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2eb89294b31ffdd2680b4361e8994d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e363082228a653eb5b0dbc3c6161a9c9.png)
您最近一年使用:0次
2024-02-24更新
|
216次组卷
|
2卷引用:重庆市乌江新高考协作体2024届高三下学期开学数学试题
名校
解题方法
8 . 已知圆锥曲线C的对称中心在原点,以坐标轴为对称轴,且经过点
与点
.
(1)求曲线C的方程;
(2)已知T为直线
上的动点(T不在x轴上),A,B为曲线C与x轴的交点,直线
与曲线C相交的另一点为M,直线
与曲线C相交的另一点为N,记
和
的面积分别为
,若
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c59a1d3e6a94f1bcea354d37318fd003.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab8a0cc6504aa4c3a38006f5394b4c2.png)
(1)求曲线C的方程;
(2)已知T为直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b1ec05e3cec27677ded7b4aecaa62d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7bf58e5fea1189b33cf55d86335452f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8059a935a2325a9e7abbcbf56aa167f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d4aa8deeb53a8bf76532a4b3a1ca7ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3637753af5ce86be9c23a9beb6b5067.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615c4ead3a3e74c8ea748e1ac82a3672.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
您最近一年使用:0次
2024-02-23更新
|
507次组卷
|
2卷引用:重庆市缙云教育联盟2024届高三下学期第二次诊断性检测数学试题
名校
9 . 如图,在斜三棱柱
中,所有棱长均相等,O,D分别是AB,
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/21/6597729b-3f17-4123-8b49-e0ade28e2e2e.png?resizew=171)
(1)证明:
平面
;
(2)若
,且
,求平面
与平面
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/21/6597729b-3f17-4123-8b49-e0ade28e2e2e.png?resizew=171)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6072ec6dfc0203cabb1fe289a5ddc8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e0feac3ad1bef70d1849e6abb91bb2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb5021c7ed2dcd938d00723032b1d71e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b29e8a1eefb6776168969a1155c9e9c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40b1cc3a931acd1b189b64b17a0b938a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e0feac3ad1bef70d1849e6abb91bb2.png)
您最近一年使用:0次
2024-02-14更新
|
456次组卷
|
3卷引用:重庆市七校联盟2024届高三下学期第一次月考数学试题
解题方法
10 . 已知函数
的定义域为
.
(1)当
时,求
;
(2)若存在
,使得不等式
成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec26b0a8e8a13df16937758fa5654601.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7a1d739890a8951586e23b78b035bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0a9f7884d2a1a1f304d8d468d8dd47c.png)
您最近一年使用:0次
2024-02-13更新
|
395次组卷
|
3卷引用:重庆市缙云教育联盟2024届高三下学期第二次诊断性检测数学试题