名校
解题方法
1 . 已知向量
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/574330405a4988bd27b513351c827023.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd36ab80e520187e70446b91c3c1784.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
2 . 已知函数
,若
为
的零点,
是
的图象的对称轴,且
在区间
上单调,则实数
取最大值时,
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95e9c7bccb75cb1fece651a8316d9b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9895bf4192f5c55c16f8270d53c49b13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c54f212fc8b30b78c3c9913081f8389.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11a064e5a0f2893deecd2ea30ac04fba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-02-12更新
|
417次组卷
|
3卷引用:宁夏银川市第二中学2024届高三第一次模拟考试数学(理)试题
名校
解题方法
3 . 已知单位向量
,
满足
,则
与
的夹角为 __________ .
![](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/075e358bf8f0aab842e87ab3f0df903f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
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2024-02-12更新
|
634次组卷
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3卷引用:宁夏回族自治区银川市银川一中2024届高三上学期第六次月考数学(文)试题
名校
解题方法
4 . 在
中,内角
所对的边分别是
,已知
.
(1)求角
;
(2)设边
的中点为
,若
,且
的面积为
,求
的长.
![](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/099dc02e222ac6eaba24bfd17e35582d.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)设边
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/783d6adfa8fb1352679c5185258d842a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ca820a456491348e72587e4fe10bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
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2024-02-12更新
|
2582次组卷
|
6卷引用:宁夏银川市第二中学2024届高三第一次模拟考试数学(理)试题
宁夏银川市第二中学2024届高三第一次模拟考试数学(理)试题浙江省金丽衢十二校2023-2024学年高三上学期第一次联考数学试题(已下线)重难点3-2 解三角形的综合应用(8题型+满分技巧+限时检测)(已下线)专题05 三角函数山东省栖霞市第一中学2023-2024学年高一下学期3月月考数学试题福建省三明市四校2023-2024学年高一下学期联考数学试题
名校
5 . 下列说法正确的是( )
A.异面直线所成的角范围是![]() |
B.命题“![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.![]() ![]() |
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2024-02-12更新
|
169次组卷
|
2卷引用:宁夏银川市第二中学2024届高三第一次模拟考试数学(理)试题
名校
解题方法
6 . 数学名著《算学启蒙》中有关于“松竹并生”的问题:松长四尺,竹长两尺,松日自半,竹日自倍,松竹何日而长等.如图,是源于其思想的一个程序框图.若输入的a、b分别为8、2,则输出的![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/12/4c606709-d1a3-43ef-b223-717e0efbac29.png?resizew=162)
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解题方法
7 . 如图,
是边长为3的正方形,
平面
,
,
,
与平面
所成角为60°.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/11/c5720013-3548-4f6e-a718-7b6e9d250117.png?resizew=101)
(1)求证:面
平面
;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8d2d217e9bcd059908f117dfc4d4259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8781208b8fe41342b9bd8b20456cdba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c5624c7941eb3cca11d8efbe76d9af5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/11/c5720013-3548-4f6e-a718-7b6e9d250117.png?resizew=101)
(1)求证:面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8dc6db50a9709c3f4d84eee7bdf1250.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f717b7d4d0978eec7330afec554c078.png)
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8 . 在正四面体中
,
,
分别为
,
的中点,则异面直线
,
所成角的余弦值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167d31eb8432b5c0364316e5048c23dd.png)
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9 . 已知直线
与曲线
有且只有两个公共点
,其中
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ff8f8fbe24745a116936189b466fe8.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6b8c3e0858c1e327b4641d8cf3b77b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c904567c3b3734e1eca8d042ef7a7b2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3a1467ecf286e3cadaf5aa006606f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ff8f8fbe24745a116936189b466fe8.png)
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2024-02-10更新
|
415次组卷
|
3卷引用:宁夏银川市第二中学2024届高三第一次模拟考试数学(理)试题
宁夏银川市第二中学2024届高三第一次模拟考试数学(理)试题中原名校2022年高三一轮复习检测联考卷数学(文)试题(已下线)2.4导数的四则运算法则(分层练习)-2023-2024学年高二数学同步精品课堂(北师大版2019选择性必修第二册)
10 . 已知集合
,
,则正确表示
与
的关系的示意图是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c307ab4fc8afb3e303da1eaa0b5ce991.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/788d1db45db697f912e8c1a203183f25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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