名校
解题方法
1 . 已知
是边长为1的等边三角形,点D,E分别是边AB,BC的中点,连接DE并延长到点F,使的
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fe6d389a6c448d92b79d89bc9e8489f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8607f8be973c4f1b65e4400a1b2d9ff.png)
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名校
2 . 如图,在菱形
中,
.
,求
的值;
(2)若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02de303d664858250124e8df21d83926.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c6c052cd7a79455c3df58e1273ec574.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36ef5ee7f82e149ca734fc1548b03450.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2654643abfb6fdfdf0b334af10db7656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7700cb2566526a121b5dcd25b8d9f10e.png)
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3 . 如图,在边长为2的菱形
中,
,
,点Q是
内部(包括边界)的一动点,则
的取值范围是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0ea17f12f933c4bafeb7b13a2635811.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10b773e10fc7ce108ea14ce5002d4fd5.png)
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2024-04-23更新
|
481次组卷
|
2卷引用:浙江省鄞州中学2023-2024学年高一下学期期中考试数学试题
解题方法
4 . 向量
,
,
,
.
(1)求
;
(2)若
,
,向量
的夹角为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/010632a752a68ced11aaf8ac2f3be311.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04f082ecee986281f05ee38aa11a50e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a46b85eb5d4866f6661beed802fa9f20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c17c5bde88762233bf20c8b6e4ec619.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/596a3ee5d8473fc6619ea7730e13325b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff959fd97e7ad214e07e136563e70bf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/675c34ffc5540451f4e5f9c24b0d6be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662917aedec92809a13618093c8e0c3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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5 . 已知向量
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/584fc4c2df67b190506e2253cf3bd850.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0357efb21c0067812b45f4f8b0a58c50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de31d2760935d346e26016427cec906b.png)
A.![]() | B.2 | C.![]() | D.4 |
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解题方法
6 . 已知点
是
的重心,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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7 . 已知六边形ABCDEF为正六边形,且
,
,以下不正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87919b376c1de16dc744b04d72877183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8682ba80b5d1e124e98c8661c753a19.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-04-16更新
|
774次组卷
|
2卷引用:浙江省2023-2024学年高一下学期3月四校联考数学试题
名校
8 . 在
中,
为线段
的一个三等分点,
.连接
,在线段
上任取一点
,连接
,若
,则
的最小值为( )
![](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/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc686fd85d7d8b6aa435a5bdded6d810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e16be59226d6815f5ebb41f9250b96b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c925be255ca736a53b24d13ddede1a86.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-04-10更新
|
765次组卷
|
3卷引用:浙江省杭州市富阳区场口中学2023-2024学年高一下学期3月教学质量检测数学试题
名校
9 . 如图,在
中,已知
,M是
的中点,N是
上的点,且
相交于点P.设
.
,试用向量
表示
;
(2)若
,求实数x的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d87aaec0ff6ebe697a942feaed39ddf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04a66f3b2ee90819abbd18dcf0543a8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03ba495e8f9fe02229a4248fdbfb4710.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fac9575a5985527e283f7295fdaf72c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32d6c25c8513bd15674f632b46d5a926.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e4ece75fe9b8555909be5a00d2b7af0.png)
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2024-04-10更新
|
881次组卷
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3卷引用:浙江省丽水市五校高中发展共同体2023-2024学年高一下学期4月联考数学试题
名校
解题方法
10 . 已知向量
,则与向量
方向相反的单位向量是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f92ee6e63d16a5f66f88275198205e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
A.![]() | B.![]() | C.![]() | D.![]() ![]() |
您最近一年使用:0次
2024-04-10更新
|
389次组卷
|
2卷引用:浙江省丽水市五校高中发展共同体2023-2024学年高一下学期4月联考数学试题