名校
解题方法
1 . 如图,在四边形ABCD中,
,且
,若P,Q为线段AD上的两个动点,且
.
为AD的中点时,求CP的长度;
(2)求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50119987599dc1b5052c82612c251b46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cf2380d0f17444b636980fca03fa2e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c197fbc2ef57f0a97dc6ac7d121b1dae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/551ff7646f5b26ef0e0ff1e1db7e2d88.png)
您最近一年使用:0次
2024-06-15更新
|
711次组卷
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4卷引用:安徽省芜湖市第一中学2023-2024学年高一下学期期中考试数学试卷
安徽省芜湖市第一中学2023-2024学年高一下学期期中考试数学试卷(已下线)【江苏专用】高一下学期期末模拟测试B卷(已下线)【高一模块二】类型1 以平面向量为背景的解答题(B卷提升卷)四川省成都市第七中学2023-2024学高一下学期6月月考数学试题
名校
2 . 已知点
是
的外心,点
是边
的中点,则下列结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e5e61804ce550636a0354e0a78a22d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63e36329f5e0979f5ee776ac5d06327.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
3 . 如图,一条河的南北两岸平行.游船在静水中的航行速度
的大小为
,水流的速度
的大小为
,则游船要从A行到正北方向上位于北岸的码头
处,其航行速度的大小( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f77dea92dc5b32a89ca4f2cdd6f9d8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d455d27d3d20ae94b9cece9651777a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/995f121d6107eb3a755aa088a32701fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c2bca4b60a7e50ec1bc75aa56102d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
4 . 在圆内接四边形
中,已知
平分
,且
,则边
的长为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4edc1e23e249554c5ad6140d07beb48b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2947ca8e0cdbeb4aab80ce9e7b63ba98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12d946facca478512d056dd29dcb10a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
您最近一年使用:0次
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5 . 平行四边形
中,
,若点
满足
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5696fa4a6053a9b04f383f1089d42719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d03df55002e0a87b451295a6d1a42a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071cb761d432567f638135ccc03122d1.png)
A.-8 | B.8 | C.12 | D.16 |
您最近一年使用:0次
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解题方法
6 . 在
中,角
所对应的边分别为
,已知
,则角![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
__________ .
![](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/cc46e8b2331cec4ea615bb44516a2074.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
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2024-04-22更新
|
759次组卷
|
3卷引用:安徽省智学大联考·皖中名校联盟2023-2024学年高一下学期期中检测数学试卷
安徽省智学大联考·皖中名校联盟2023-2024学年高一下学期期中检测数学试卷广东省汕头市潮阳一中明光学校2023-2024学年高一下学期5月月考数学试题(已下线)专题02 第六章 解三角形及其应用-期末考点大串讲(人教A版2019必修第二册)
名校
解题方法
7 . 已知
,
,
与
的夹角是
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce9883f16cdef5fb87fb9d6a9897d113.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db24e47304fec964e8cb9278280046bb.png)
![](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/4a12c461765806bbfb872e7e8aa410c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba3c6bd21d9c27a68b970f446f04d6df.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-04-22更新
|
794次组卷
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3卷引用:安徽省安庆市第一中学2023-2024学年高一下学期第一次阶段检测数学试题
名校
解题方法
8 . 如图,在梯形
中,
,
,
,点
分别为线段
,
上的三等分点,点
是线段
上的一点.
的值;
(2)求
的值;
(3)直线
分别交线段
于M,N两点,若B,N,D三点在同一直线上,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc11331a7b2d2619b40ee6d34c3bd620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/762f99edee52c4984ba077facc51d8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f864244952b60f3648f08a19268efae9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42c2d86d8daea5e652d99fe1c6bc3f9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/b8bad16b7cdf8c638cd324f5be5d834f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa64009879efc50d310d24052fe5c8.png)
(3)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4572fa04373cd8e1e005a2f34f3953.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43c1292487839550e3724ba9c2eee94e.png)
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2024-04-10更新
|
361次组卷
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6卷引用:安徽省太和中学2023-2024学年高一下学期第二次教学质量检测(4月)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)
您最近一年使用:0次
2024-04-10更新
|
895次组卷
|
3卷引用:安徽省合肥市第一中学2023-2024学年高一下学期5月期中联考数学试题
名校
解题方法
10 . 已知向量
,
满足
,
,且
,
的夹角为
.
(1)求
;
(2)若
与
互相垂直,求
的值.
![](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/27cbd3ad4cfa6d2a99a3cf2217f96134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194537355c89656428e712610562c234.png)
![](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/be6a6301878fed2a01413020b27310a5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93af88a7628c71d642d3a6df067c15f5.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e797aba4bacf146dde7b34166a59bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0f5d6389672e98b7a226d86706c390.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2024-03-29更新
|
330次组卷
|
3卷引用:安徽省六安市第二中学河西校区2023-2024学年高一下学期期中考试数学试题