名校
解题方法
1 .
的顶点是
,
,
.
(1)求边
上的高所在直线的方程;
(2)求过点A,B,C的圆方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cb9e88d3e58141dba299dcd8edc4e18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb6fd712d967a36c027693a54f91470.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac06bc73b408c6a70bd0f6d24ebb7d2c.png)
(1)求边
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)求过点A,B,C的圆方程.
您最近一年使用:0次
2024-02-23更新
|
217次组卷
|
2卷引用:湖南省株洲市第二中学2021-2022学年高二上学期第三次月考数学试卷
名校
解题方法
2 . 已知
为抛物线
的焦点,点
在
上,且满足
.
(1)求点
的坐标及
的方程;
(2)设过点
的直线
与
相交于
两点,且
不过点
,若直线
分别交
的准线于
两点,证明:以线段
为直径的圆恒过定点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37ab7408ffcefcb8e5e1ad4a9c58f1b1.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/8823a20073c4dcdbc9c449f257a96447.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790ef3382b1c731f2885eecfd92c2a86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe7fd9b0c3c203a053a7ea52b71e7c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09fcb20a6972108871adbf284f9e5006.png)
您最近一年使用:0次
2024-02-23更新
|
238次组卷
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2卷引用:湖南省株洲市第二中学2021-2022学年高二上学期第三次月考数学试卷
3 . 如图,四边形
为矩形,
≌
,且二面角
为直二面角.
平面
;
(2)设
是
的中点,
,二面角
的平面角的大小为
,当
时,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb49df05f2e31d005735c3f14a21d30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f253eece04f2d23e3fdc338f694ffd5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8dc6db50a9709c3f4d84eee7bdf1250.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500df0e782bb081e608f4bc1d576afcf.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2082c80ef7a33d9d397afccddeeca9e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89c9c2c831a0552a7c934365bc49ad3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6570aee18d73762e18716bb9dd33109b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefd06c239145a2b6ae87a955aa51414.png)
您最近一年使用:0次
2024-02-01更新
|
1014次组卷
|
3卷引用:湖南省株洲市第二中学2021-2022学年高二上学期第三次月考数学试卷
名校
解题方法
4 . 已知正项数列
前n项和为
,满足
,数列
满足
,记数列
的前n项和为
,
(1)求数列
的通项公式;
(2)求满足不等式
的正整数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73884a7d765a6d27e76661c1792bd946.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e22f6641a74f0570d8044438f1ff0b3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求满足不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6cf6f3f007d63219071bb5228a8efac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
2024-01-27更新
|
498次组卷
|
3卷引用:湖南省株洲市第二中学2021-2022学年高二上学期第三次月考数学试卷
湖南省株洲市第二中学2021-2022学年高二上学期第三次月考数学试卷湖南省永州市2023-2024学年高二上学期期末质量监测数学试题(已下线)专题04数列求和的6种常考题型归类【好题汇编】-备战2023-2024学年高二数学下学期期末真题分类汇编(北师大版2019选择性必修第二册)
名校
5 . 如图,在正四棱柱
中,
,
,
、
分别为
和
的中点.
;
(2)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/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d927585a17c2e98ef7d5a9589a26ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394c5d2f55221975503be8aa18022480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1384ffba86ff08ce9e783d5d1bc51686.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bff3ccea5989c60e51e321af3f53f54.png)
您最近一年使用:0次
2024-01-27更新
|
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|
5卷引用:湖南省株洲市第二中学2021-2022学年高二上学期第三次月考数学试卷
湖南省株洲市第二中学2021-2022学年高二上学期第三次月考数学试卷江苏省南通市2023-2024学年高二上学期期末数学考试江苏省睢宁高级中学2023-2024学年高二下学期3月学情检测数学试卷(已下线)模块一 专题6 《空间向量应用》(苏教版)(已下线)模块三 专题2 解答题分类练 专题3 空间向量线性运算(苏教版)
23-24高二上·全国·期中
名校
解题方法
6 . 如图,四棱锥
中,
平面
,
,
是
的中点.
平面
;
(2)若二面角
的余弦值是
,求
的值;
(3)若
,在线段
上是否存在一点
,使得
.若存在,确定
点的位置;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d02bd5cfe804460846423e77f72db10f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5c3aec3e9c309e72d096c0a86f4e1a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12f9da0507a3ba13bb9e51bbb503d98d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4060ac123e4cd8bf5c058b51723110ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30513ea48bc1ef3ae78adac83d894f14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09a6b40391f8aa6663f20ea4f96f3f9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/840798a31aba0783f96584e0ad7c0d2e.png)
(2)若二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4b866173e0a81cefa03b248602502e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827ccf0c04aa941ba20d5f4c6068b46b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca208a68dd37e00903085736eafdedb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88929f4ba0851730d5f941d426b87548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22a9497a5ae8567a96efa68bece91ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
您最近一年使用:0次
名校
7 . 已知圆
,直线
.
(1)求直线
恒过定点的坐标;
(2)求直线
被圆
截得的弦长最短时
的值以及最短弦长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/198381d98cbb47350fa1220a396405a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1e70459e98bd20618c7010ddd5df072.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)求直线
![](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/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-12-26更新
|
353次组卷
|
2卷引用:湖南省株洲市第一中学2021-2022学年高二上学期期中测试数学试卷
名校
解题方法
8 . 如图,在四棱锥
中,底面
为矩形,
,
,
点
为棱
上的点,且
.
(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/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddd96553383f5c8997c69e65769fa096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c327b3e91d8bea53255d9308a952a276.png)
点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4999d4fbcbe15f78c29d518f25d317c2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/18/6f450e12-70bb-4daf-90c1-e0233b56d92c.png?resizew=171)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b8e49d68afab33806a63d25a0861c7c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/272d049563412419aff832cbf22e4a0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
您最近一年使用:0次
2023-11-17更新
|
825次组卷
|
4卷引用:湖南省株洲市第二中学2021-2022学年高二上学期期中测试数学试卷
名校
解题方法
9 . 已知
的内角
的对边分别是
,满足
.
(1)求
;
(2)若
是
的中点,且
,求
的面积.
![](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/7d8a00e9eb1795de01f19e9341bbd7e9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4584ad441c4c7451cf0c39d9de178912.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29b9cb7a15e94716284f2ccc603da046.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2023-11-16更新
|
251次组卷
|
2卷引用:湖南省株洲市第二中学2021-2022学年高二上学期期中测试数学试卷
名校
10 . 现从学校的800名男生中随机抽取50名测量身高,被测学生身高全部介于
和
之间,将测量结果按如下方式分成八组:第一组
,第二组
,第八组
.右图是按上述分组方法得到的频率分布直方图的一部分,已知第一组与第八组人数相同,第六组的人数为4人.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/8/8a6aae7a-0c8e-4520-9993-dc07f6bb14e3.png?resizew=319)
(1)求第七组的频率并估计该校的800名男生的身高的中位数;
(2)若从身高属于第六组和第八组的所有男生中随机抽取两名男生,记事件
表示随机抽取的两名男生不在同一组 ,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26b810e3b04433cd9a846e4562fb70a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebe013823b7e09302fd5a69d713c5b11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/056af19f5cfb21052414557ef5189560.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9136be92a12d119ccd58cb3262b96f6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb0eca9f46da8444e42b162220c9256b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/8/8a6aae7a-0c8e-4520-9993-dc07f6bb14e3.png?resizew=319)
(1)求第七组的频率并估计该校的800名男生的身高的中位数;
(2)若从身高属于第六组和第八组的所有男生中随机抽取两名男生,记事件
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b6f8cb2faaad82b53b2a66ee817a37.png)
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2023-11-11更新
|
361次组卷
|
2卷引用:湖南省株洲市第一中学2021-2022学年高二上学期期中测试数学试卷