24-25高一上·全国·课后作业
1 . 若
,则
或
.( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5addd0c822fa3c5ac9c7db649f6682cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eab00d21b5a95621c6b6164dfb9e08b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afff2ac07ebf0f4b8b498db0e256a72d.png)
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24-25高一上·全国·课后作业
2 . 本章章前语中说“数的运算、代数式的运算和向量的运算是学习代数运算的三个重要阶段”,你能说说这三种运算的联系与区别吗?
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解题方法
3 . 已知双曲线
的左、右焦点分别为B,C,以BC为直径的圆与渐近线交与点A,连接AB与另一条渐近线交与点E,
为原点,
,且
.若
在
上的投影向量为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/888f3f66a185ab290254e17c251d63ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c916d5b02f278ee842393dab6dcce4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/083a20abb668d4c26fe5039bd108b40a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89265cbe3abc6b966ce8967fead448b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22c55b0570e6d6f6938c62d6a56abb09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca902cd1857b0b95703521972a4214eb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
4 . 已知直线
,圆
,且圆
过点
,直线
与圆
交于
两点,下列结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a6059aec6295c52d89e6b0352a394c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bfe49339af7cef23099c4e88bb18dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ed24bfcc37b79fe9ca61ed8fdf26ea.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)
A.圆![]() |
B.直线![]() ![]() |
C.![]() ![]() |
D.![]() |
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解题方法
5 . 平面内给出三个向量
,
,
,求解下列问题:
(1)求向量
在向量
方向上的投影向量的坐标;
(2)若向量
与向量
的夹角为锐角,求实数
的取值范围;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dde9cb3c2c078d44940f226ca200762.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5b8583acf0b89997429dbbaa837c3fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21dc9f82e788085e0bb47709afd53785.png)
(1)求向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
(2)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9cd8bbf47b69bbd7a6263b041290d11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e77f6ebb0c18fbccd89b5ea11e77915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2024-02-23更新
|
2628次组卷
|
4卷引用:广东省深圳市深圳外国语学校2024届高三上学期第二次月考数学试题
6 . 已知圆
上的两个动点
,
始终满足
,直线
与
轴交于点
(
,
,
三点不共线),则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9ab11ba6b230c4309e1b899eb58daae.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/179d7920ec6cd22f3a0cfa6738260153.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f51698f7095e795d4f0527b986ac1db2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
A.直线![]() ![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() ![]() |
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2024-02-19更新
|
948次组卷
|
2卷引用:贵州省贵阳市第一中学2024届高三上学期高考适应性月考卷(五)数学试题
2024高二上·全国·专题练习
7 . 已知
为坐标原点,垂直抛物线
的轴的直线与抛物线
交于
两点,
,则
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37ab7408ffcefcb8e5e1ad4a9c58f1b1.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/cc11e7549cfce9220e70250ac943e457.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57dfc9d1109fe41145cc892b5702d9fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
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解题方法
8 . 已知
,
分别是椭圆
的左、右焦点,如图,过
的直线与C交于点A,与y轴交于点B,
,
,设C的离心率为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4efa339dbb8c7026b0959971349ae18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77fd6f15bd77332ca6defccf3ebd65c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-02-06更新
|
585次组卷
|
4卷引用:河南省信阳市固始县2023-2024学年高二上学期期末考试数学试卷
2024·全国·模拟预测
名校
解题方法
9 . 在
中,角
的对边分别为
,且
,
.
(1)求
的长;
(2)设
为边
的中点,若线段
的长不大于
,求
的长的最大值.
![](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/e899c486dc49e560fc4aca05e16835b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846dd8037c8d01ae42f3aaf1a97c6ef1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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10 . 在锐角
中,角
的对边分别为
,且
.
(1)求
的值;
(2)求
的取值范围.
![](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/13d12ebebb81bb9426a180b055a783e1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c181f86de3c96a7ef7a1a04c3a438f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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