2024高一下·全国·专题练习
名校
解题方法
1 . 已知平面
平面
,
是
、
外一点,过点
的直线
与
、
分别交于点
、
,过点
的直线
与
、
分别交于点
、
,且
,
,
,则
的长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/414844edd458857bdfc80bffa61cbf9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c19f0fcacac715a1200770516d1e4a67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/348216467fda035329fe8fac46b39911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d19e69c3e231ac182ef14e0dda2fe45f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
2 . 平面内给定三个向量
,
,
.
(1)求满足
的实数m,n.
(2)若
满足
,且
,求
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c29b6b7f33003606c66bb6511fa8b0a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14dfa17632f933e0468b8a7864259517.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb7bc8d458d57e3721c6c30cb6570adc.png)
(1)求满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb4a5e281f06621bd090489d10da41e6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b76118bdca6c463cfb19b66f30281c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8a51215462c6f53f5fc33ab50b43a8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0f2d7a4a788a8de4246248d1c297a3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b76118bdca6c463cfb19b66f30281c4.png)
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2024-05-12更新
|
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2卷引用:河南省封丘县第一中学2023-2024学年高一下学期第二次阶段性测数学试题
3 . 在
中,
分别为
的对边,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e98543f0c8bd40ef8c01ac8d9fd13067.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9c1e84aaa7e1b5c1283075b36c72fb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4606f5add4d53e95fa6d705c63150b7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e98543f0c8bd40ef8c01ac8d9fd13067.png)
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2024-05-12更新
|
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2卷引用:河南省封丘县第一中学2023-2024学年高一下学期第二次阶段性测数学试题
名校
解题方法
4 . 如图,已知直角三角形ABC的斜边
平面
,A在平面
上,AB,AC分别与平面
成
和
的角,
.
的距离;
(2)求平面
与平面
的夹角.(提示:射影面积公式
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/963a91995abd4927d75406d16e10a81f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac09dc1ca2cdd7aef28c218763d3e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e5fa72f2878b476bc57f0df12d6555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07160f14b3b453bebb64cb2bf96dc85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28d0ee95116dd4867d4195e83cc97d74.png)
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5 . 如图,在直三棱柱
中,
,
,
为线段
的中点,
为线段
(包括端点)上一点,则
的面积的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14d355b4c58b4e883b9e65cc6da8622e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c407eeb34204a1df967b8fbe481cb04d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92905d020164683947943040ec19c530.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-05-06更新
|
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7卷引用:河南省新乡市封丘县第一中学2023-2024学年高一下学期第三次阶段测试数学试题
河南省新乡市封丘县第一中学2023-2024学年高一下学期第三次阶段测试数学试题(已下线)2024年普通高等学校招生全国统一考试数学押题卷(三)(已下线)第八章 本章综合--方法提升应用【第三练】“上好三节课,做好三套题“高中数学素养晋级之路(已下线)6.5.2平面与平面垂直-【帮课堂】(北师大版2019必修第二册)(已下线)必修第二册综合检测卷-重难点突破及混淆易错规避(人教A版2019必修第二册)(已下线)专题05 立体几何初步客观题热点题型(2) -期末真题分类汇编(江苏专用)四川省眉山市仁寿县仁寿第一中学校(北校区)2024届高三模拟预测理数试题
名校
6 . (1)若复数
.若复数
为纯虚数,求实数
的值,
(2)已知平面内的三个向量
,若
,求实数
的值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c0f9d68aa2d571623c4002b2c71709b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)已知平面内的三个向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ac2971e19bec55e08a8587fac06ea59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47c4048741d8aff48a605f755acb7138.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2024-05-06更新
|
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解题方法
7 . 已知圆锥的顶点为S,母线SA,SB所成角的余弦值为
,且该圆锥的母线是底面半径的
倍,若
的面积为
,则该圆锥的侧面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/357821e0e5595eaf3028df63d47b2c58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72e49817548cb45b3d1e58570644c6fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f831269a126a99342369fe77b7436d52.png)
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2024-05-06更新
|
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解题方法
8 . 在三角形
中,令
,
,若
,
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c54edefe2335191679f506893c0a1a69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f386f5b56b07b96f2600da1be15414a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b11bdb6f3ed2c9237897928a9e4c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21d032e66b3a168e0d9d57ca6357e1d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a63c668acb8ee5f64c5ba1f9d195cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dc1f3ea84e7872bc64b7e197333cf55.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() |
D.三角形![]() ![]() ![]() |
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|
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2024高三·全国·专题练习
名校
解题方法
9 . 如图,甲站在水库底面上的点D处,乙站在水坝斜面上的点C处,测得从D,C到库底与水坝的交线AB的距离分别为
m,
m.又测得AB的长为5 m,CD的长为
m,则水库底面与水坝斜面所成的二面角的大小为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff84d961181b0c49c2ce7b91fdafb6a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa9b359d2963675ac8330457e04b96fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe3f2861eb1e47017dc3b90bff5db717.png)
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10 . 已知向量
与
的夹角为
,且
.
(1)求
;
(2)求
与
的夹角的余弦值;
(3)若
与
夹角为钝角,求实数k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f13557c6c4cac12d494b38da6972e5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aea600e585f80baea5d47b29b0d7369d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8909bd17a8db2ea7257f24eca00a5e6f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9cd8bbf47b69bbd7a6263b041290d11.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad7ef1058ce7a48b534d1452ec1a7111.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93b9a943b2dda38cfbb7857d7945d289.png)
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2024-04-24更新
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3卷引用:河南省新乡市封丘县第一中学2023-2024学年高一下学期第一次阶段测试数学试题