解题方法
1 . 如图,在矩形
中,过边
上的点
分别作
的垂线,分别交
于
,过
边上点
作
的垂线,分别交
于
,
,则集合
中的元素个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5425108c557f0f21474c045334f97d9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6029062c6a3c9b36225574d393489db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb45ab3ba0ec44779c85e32719f5d60d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fee50575e3ebd56c4f46dd0bbf8e55d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4386d82eb8d40b0080aea374ecf6962c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9baa6286e8d3fee65fa15af683a227ac.png)
A.2 | B.4 | C.6 | D.8 |
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解题方法
2 . 已知
的边长均为1,点
为边
的中点,点
为边
上的动点,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e725e9a770017dcb95095dd78ff39954.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 已知向量
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff0812ea92afd60233426521798f5ca7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d8044e85434e2a2f995b1246c2e7a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff244f9e9345913bb0217d48ff378134.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
4 . 已知向量
,若
,则m=______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea30f581df93bd5200bb1d85d7d7512.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dced91de1b8c38aa95ffee0e5dc202.png)
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名校
解题方法
5 . 已知向量
,
,若
与
共线且反向,则实数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/750079fe7868fd50c1958bdc4972248d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92ba5e6df3bdc570aea6bcc93526affb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7a1df960feef63dec4790d63f52279.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1b8a88a16125366536cb4ad658e0cf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
A.4 | B.2 | C.![]() | D.![]() |
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2024-05-12更新
|
725次组卷
|
4卷引用:江西省宜春市宜丰中学2023-2024学年高二下学期6月月考数学试题
名校
6 . 已知
是平面内的一个基底,则下列也是平面内一个基底的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32a341ba62373f3286b0a3425cbc3f79.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-05-04更新
|
150次组卷
|
2卷引用:江苏省无锡市辅仁高级中学2023-2024学年高二下学期期中考试数学试题
名校
解题方法
7 . 已知平面向量
,
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdd403eaea679c66e0f01095177d2fad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/159cb6971f298f8b53afb579b35bfba3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dced91de1b8c38aa95ffee0e5dc202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
A.![]() | B.![]() | C.![]() | D.8 |
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2024-05-04更新
|
245次组卷
|
2卷引用:江苏省无锡市辅仁高级中学2023-2024学年高二下学期期中考试数学试题
8 . 已知向量
,
满足
,
,
,则
在
上的投影向量的坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a1fbde1de351bce74ea7736f16340a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a064389533e4b2d37d787e93701bbea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d499e1b8a12684c500b92fe0de45ecb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-05-03更新
|
135次组卷
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2卷引用: 浙江省杭州学军中学2023-2024学年高二下学期6月月考数学试题
名校
解题方法
9 . 在
中,
,
,点
在线段
上.当
取得最小值时,
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c3e9ef3e849788645552cfb0735d987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ffc2817fa590affb5a760a25dc65308.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59880e470359d8e9faf6ae5ce155cf2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5745e2dc1d5308872c68ae932cd13ffa.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-04-09更新
|
1308次组卷
|
5卷引用:广西百色市平果市铝城中学2023-2024学年高二下学期4月月考测试数学试卷
广西百色市平果市铝城中学2023-2024学年高二下学期4月月考测试数学试卷北京市朝阳区2024届高三下学期质量检测一数学试题北京市日坛中学2023-2024学年高一下学期期中考试数学试题(已下线)北京市中国人民大学附属中学2023-2024学年高一下学期期中练习数学试题变式题6-10四川省南充市白塔中学2023-2024学年高一下学期期中考试数学试题
解题方法
10 . 如图,平行六面体
的底面是菱形,且
,
,
.
(1)求
的长;
(2)求异面直线
与
所成的角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a6ee51af9b52152488b1772fa190fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037b342a682cbd4241855a243da3c016.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c122ca7141c43c15c783968f5f0dbc19.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/c687cbff-7aa4-424d-b71e-4039e2188c3b.png?resizew=201)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
(2)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cabe764f05300ac83c7d16b685d27af4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2eb89294b31ffdd2680b4361e8994d7.png)
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