名校
1 . 已知点G为三角形ABC的重心,且
,当
取最大值时,
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c0d7181c55bb60eeb9d5a1fdd4b0a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194741f4d2ae7ee44cafca780361446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f774cd650f14c8f6e4fe0c6a432768bb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-05-09更新
|
4365次组卷
|
13卷引用:贵州省毕节市2023届高三诊断性考试(三)数学(文)试题
贵州省毕节市2023届高三诊断性考试(三)数学(文)试题贵州省毕节市2023届高三诊断性考试(三)数学(理)试题(已下线)模块二 专题1 解三角形与平面向量(已下线)第五篇 向量与几何 专题13 奔驰定理 微点2 奔驰定理(二)(已下线)专题06 平面向量-1湖南省长沙市长郡中学2022-2023学年高一下学期期末数学试题(已下线)河南省南阳市2022-2023学年高一下学期期末数学试题福建省福清第一中学2024届高三上学期10月月考数学试题江苏省苏州市苏州中学2022-2023学年高一下学期6月月考数学试题(已下线)模块6 平面几何篇 第2讲:向量的数量积与极化恒等式【练】(已下线)专题3-3解三角形压轴综合小题-3(已下线)第六章 平面向量及其应用(压轴题专练)-单元速记·巧练(人教A版2019必修第二册)重庆市第十八中学2023-2024学年高一下学期3月月考数学试题
2 . 在平行四边形
中,点
,
分别满足
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c3646680683d42b908a0c957e0b6aa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fea8fa4f41ebdbaad803559bf461f72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ae17ed8b86442731810a42eb8aecbb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
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解题方法
3 . 在
中,
,
,设
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c39c8c8cb593f9a87d216118aeb0e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a85a02b00d7cc7e692f916e56508c22c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3adc4ed291596abf3bb93ae7a075d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cc03a3ba496faee748a8d63e5d4fa92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/658ff9921ff96972b0fc95360bb0c65b.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-05-08更新
|
655次组卷
|
4卷引用:浙江省绍兴市柯桥区2023届高三5月高考及选考科目适应性考试数学试题
4 . 在正三棱柱
中,
,空间中的点P满足
,其中
.下列命题中,真命题有______ (填所有真命题的序号).
①当m=0时,
;②当
时,平面
平面
;③当m=1时,直线AP与直线BC所成角的余弦值为
;④对
,三棱锥
的体积是定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92105835f8075cb75dff244e908370b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fabc69a21cd6a75ded4c926985a8196b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6ea0512a1e43e7167ac1d2225b560cd.png)
①当m=0时,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d86c2947213ad51595cfe30e13739a4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8493a0cd10d3d0399173c04163740a38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c1baaa912fedaaf6670730bfad1de32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dee14db57f0c762aad845cf5b4a243c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d374b1df11455ee6b79889088fe525.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81a849e72b73caf0d376641471151986.png)
您最近一年使用:0次
2023-05-08更新
|
264次组卷
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2卷引用:四川省泸州市2023届高三三摸文科数学试题
名校
解题方法
5 . 大约在公元222年,赵爽为《周髀算经》一书作序时介绍了“勾股圆方图”,亦称“赵爽弦图”(如图1).某数学兴趣小组类比“赵爽弦图”构造出图2:
为正三角形,
,
,
围成的
也为正三角形.若
为
的中点,①
与
的面积比为___________ ;②设
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9e507d3941363e9dbeac8be35134727.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/6/c1bd98f1-c926-4719-b25c-602039f53dd5.png?resizew=272)
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2023-05-05更新
|
1814次组卷
|
4卷引用:江苏省南京市2023届高三二模数学试题
名校
解题方法
6 . 在
中,M,N分别是AB,AC的中点,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67cf3cbde2009d099013dfe999b7d63a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
A.![]() | B.![]() | C.1 | D.2 |
您最近一年使用:0次
2023-05-05更新
|
1424次组卷
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3卷引用:北京市朝阳区2023届高三二模数学试题
名校
7 . 已知
是椭圆
的左、右焦点,
为椭圆的上顶点,
在
轴上,
,且
.若坐标原点
到直线
的距离为3,则椭圆
的标准方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/786bd647ef52e29c6ba9c65624dafa4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0b9c284d566596d2f4fb8471e3e3b6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
8 . 已知在
中,向量
,
,
满足
且
,则
为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5f1b06a56fc382feed28e01f1ad102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89265cbe3abc6b966ce8967fead448b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eab5fbc3775863bb0d87bdfc7e03ba6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be28feec080a8ccf12f2a6345e51f432.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.等腰直角三角形 | B.非等腰的直角三角形 |
C.等腰非等边三角形 | D.等边三角形 |
您最近一年使用:0次
解题方法
9 . 在
中,
,点
在线段
上,且
,
,则
面积的最大值为____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff5a86745bfe1dfe7bc2683811210330.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/ace0a67c09dc23959f1849724a999046.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eb3d1070981fed5ca65a34bb2282e6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2023-05-03更新
|
120次组卷
|
2卷引用:广西邕衡金卷2023届高三一轮复习诊断性联考数学(理)试题
名校
10 . 如图,在
中,点
为
边的中点,
为线段
的中点,连接
并延长交
于点
,设
,
,则
( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/1/90d55225-57f2-427a-ad53-6669143a5577.png?resizew=135)
![](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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5a122e25cf4eb9f03ffe5ec823bfc31.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/5f3adc4ed291596abf3bb93ae7a075d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cc03a3ba496faee748a8d63e5d4fa92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fea710df180d840bacf40404075be89e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/1/90d55225-57f2-427a-ad53-6669143a5577.png?resizew=135)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-05-01更新
|
1494次组卷
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6卷引用:陕西省咸阳市2023届高三三模文科数学试题