解题方法
1 . 如图,在三角形
中,M、N分别是边
、
的中点,点R在直线
上,且
(x,
),则代数式
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd6c71a0da6a878a5b12bf8a8e784645.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f0009063fe00277645aff1be6e32471.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6b454e7d242eeb4d2fbd6d01993c427.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a50ac027c6ebce491ae836524d89901c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/541875b090df1429fded8c1d007023f2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 已知
若
则x=_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194748b2b8bd9f6b7af383577245fd4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44550cf9a8d26d7ba494e8111e487c74.png)
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解题方法
3 . 在
中,
是
的中点,
在
上,且
,则
( )
![](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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c397bc7f7b3de2c8182c3fbe94fd5ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9769839f35c2b7002b9f5e62f40b34de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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7日内更新
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278次组卷
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4卷引用:专题01 向量基底、四心及其应用(1)-期末考点大串讲(苏教版(2019))
(已下线)专题01 向量基底、四心及其应用(1)-期末考点大串讲(苏教版(2019))重庆市四川外国语大学附属外国语学校2023-2024学年高一下学期期中考试数学试题云南省部分校2023-2024学年高一下学期月考联考数学试题河南省南阳市2023-2024学年高一下学期5月阶段检测考试数学试题
2023高一·全国·专题练习
名校
4 . 已知
,
,
,
是平面上的4个定点,
,
,
不共线,若点
满足
,其中
,则点
的轨迹一定经过
的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/c5db41a1f31d6baee7c69990811edb9f.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cbf7be8ba716bd4b67a2bce6e7379f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b8e5990ef4ef314941a3154457a9d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.重心 | B.外心 | C.内心 | D.垂心 |
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5 . 已知向量
,
.
(1)若
与
共线,求
的值;
(2)若
与
垂直,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80d769ab21af5365d3c00dc617375ce4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bf4c91859bee4f3d08cb5e49f0195f7.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b83c5803cc8c05849028a57c4bd4ee72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82686b81cdfb709d11271b592308df7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2555426ef9607377b02bcae1de8f6ca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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|
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4卷引用:专题01 平面向量(2)-期末考点大串讲(苏教版(2019))
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解题方法
6 . 若向量
满足
,
,且
,则向量
与
的夹角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/962421d06de6573a56388afb4a8c4add.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27cbd3ad4cfa6d2a99a3cf2217f96134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2396cac4b185cf1f1a67dad9248481c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1d715863fff24155c89919acc94dc1.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高一下·江苏·专题练习
7 . 如图,在梯形
中,
.点
在阴影区域(含边界)中运动,则
的取值范围为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e9d43c6acfdda84cac234f192c0b74e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4452db7f56b15dbeb9bddb30740eb07e.png)
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解题方法
8 . 已知向量
,
满足
,
,
,则
与
的夹角为________ .
![](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/6f96512f96698efe080f3d62c3084cc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e16d81d266f24698696a81ed5e007680.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0be907a5a919e17784f7be656068689c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
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|
585次组卷
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3卷引用:专题01 平面向量(2)-期末考点大串讲(苏教版(2019))
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名校
解题方法
9 . 若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0e270f3ebcbff71026d840afe17f6c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46902ee9fbd30111d7831f1fc7b79641.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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|
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3卷引用:专题03 恒等变形拆角归类(1) -期末考点大串讲(苏教版(2019))
10 . 在锐角
中,角
的对边分别为
,若
,则
( )
![](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/c5ee25b7b5afe161b28be0760c123c1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9ac56d802afb2a331cabf9891321d6c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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