名校
解题方法
1 . 对称性是数学美的一个重要特征,几何中的轴对称,中心对称都能给人以美感,激发学生对数学的兴趣.如图,在菱形
中,
,以菱形
的四条边为直径向外作四个半圆,
是这四个半圆弧上的一动点,若
,则
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e29afba01e03beb1257b0a202cff46f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bb447c496f455e3684b8809f0729736.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
您最近一年使用:0次
2023-10-31更新
|
795次组卷
|
7卷引用:陕西省汉中市多校2023-2024学年高三上学期第四次联考文科数学试题
陕西省汉中市多校2023-2024学年高三上学期第四次联考文科数学试题陕西省汉中市多校2023-2024学年高三上学期第四次联考理科数学试题陕西省西安市长安区2024届高三10月联考数学(文)试题上海市静安区风华中学2024届高三上学期11月月考数学试题(已下线)模块6 平面几何篇 第1讲:向量合成定理与三角形四心【练】(已下线)专题01 平面向量压轴题(2)-【常考压轴题】广西桂林市第十八中学2023-2024学年高一下学期4月月考数学试题(A卷)
解题方法
2 . 已知D,E分别为
的边AB,BC上的点,且
,
,CD与AE相交于点O,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2d8ced760da3a93d86a5e6ddba37a22.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13f5559f9c5f8ae8ceb9e333314d250c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b82c3dd1d7975b674c92b8b0fb69de1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3075db0c0612bf2ce24f34c9b041d3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2d8ced760da3a93d86a5e6ddba37a22.png)
您最近一年使用:0次
2023高三·全国·专题练习
解题方法
3 . 请你根据“奔驰定理”对以下命题进行判断:
①若P是
的重心,则有
;
②若
成立,则P是
的内心;
③若
,则
;
④若P是
的外心,
,
,则
;
⑤若
的内角A,B,C的对边分别为a,b,c,且
,O为
内的一点且为内心.若
,则
的最大值为
.
则正确的命题有________ .(填序号)
①若P是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/112283f8778e6965ba37469d2574950d.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2812150f7554f579c71e8acb54144fd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8be52e6bd55e8718771caf848c2499ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc6a5b077f3a91cb9a76b45862856811.png)
④若P是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09eebab59213386449a726b75065bf76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cbebb50a73ccfe63e4b0340f219ee94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bdd1b09d3150744ff508b9fb62b962e.png)
⑤若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b5f33fd9ec988aaddd8f4c82f960c37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8954ac84d5a64358d2876a62f2a439b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7294f5ae2a24ff42e84cd9773b2a7287.png)
则正确的命题有
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/23/e4944368-97f7-4138-982a-e23f2a3b1169.png?resizew=175)
您最近一年使用:0次
2023高三·全国·专题练习
4 . 在
中,给出如下命题:
①
是
所在平面内一定点,动点
满足
,
,则动点
的轨迹一定过
的重心.
②
是
所在平面内一定点,动点
满足
,
,则动点
的轨迹一定过
的内心.
③
是
所在平面内一定点,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ae7eb72968a4ccf1a5153c84068fe9.png)
,则
.
(4)若
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5211e0e67b9ec739dbf0566f79256edb.png)
,则
是等边三角形.
其中正确的命题有______ 个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/a482f7c5ad38fd95892bdb75fa002c9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/783b6a7dd6c37b27bb42aa8d85250945.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a482f7c5ad38fd95892bdb75fa002c9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ae7eb72968a4ccf1a5153c84068fe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6322c58639006dd6852a48a45da50167.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2011e8eb30a052f682e70ee01b383dfe.png)
(4)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/771c53918591328292bf8d8b33e5e3d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5211e0e67b9ec739dbf0566f79256edb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
其中正确的命题有
您最近一年使用:0次
2023高三·全国·专题练习
解题方法
5 . 在直角梯形ABCD中,
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f63d194aa0d4091618b6f41f569ee2.png)
,
,动点
在
内运动(含边界),设
,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10df84d553a8826a7ce9bff4bf0d95b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f63d194aa0d4091618b6f41f569ee2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037b342a682cbd4241855a243da3c016.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83b73ed5c6db36c1be6d290e76814da2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8dc4c63a548b91061528aa11058de75.png)
您最近一年使用:0次
2023高三·全国·专题练习
解题方法
6 . 如图,以向量
,
为邻边作平行四边形
,
,
,则
=_______ .(用
,
表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14390e9b6b44472bdc7a131133ab39b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87cd14dfc0024459f9d8e594c95c5106.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b76ac232477ac6d4b0a36eded969d68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea6ef3d1c748bb068d95efd3917b9b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2302e928a9fd7c40071086ad6a8f8d0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a014dff8997c661055229de29c61cfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://img.xkw.com/dksih/QBM/2023/8/9/3299194176790528/3323451546181632/STEM/456a1afb263c43ea96224f3cc28b3ecc.png?resizew=155)
您最近一年使用:0次
2023高三·全国·专题练习
名校
解题方法
7 . 如图,边长为2的等边三角形的外接圆为圆O,P为圆O上任一点,若
,则2x+2y的最大值为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36965c4fa2678fe61578db7f38ac37c3.png)
您最近一年使用:0次
2023高三·全国·专题练习
解题方法
8 . 在平行四边形
中,
是
的中点,且
在直线
上,且
,若
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825116eb345f5505ebc8c1cdb8a1f131.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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d278806948f4f29f7333c82c0f486c8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3adc4ed291596abf3bb93ae7a075d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e984585ddf28c039219afcebf229de7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38e2d1498030ed0005fc3e1722042923.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825116eb345f5505ebc8c1cdb8a1f131.png)
您最近一年使用:0次
2023高三·全国·专题练习
解题方法
9 . 已知
为数列
的前n项和,
,平面内三个不共线的向量
,满足
(
且
),若
、
、
在同一直线上,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/780019495df34d40fff9d8f31bbf3e74.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8323901a49cac29afd7d62864f088077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4934fe0958d339078bc1844f5b6a58b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1043453cb59ec33cd0f384df96bb7701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65a40142c84be68ee2918c3a8303388c.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/780019495df34d40fff9d8f31bbf3e74.png)
您最近一年使用:0次
名校
解题方法
10 . 在
中,点
是
的中点,点
在
上,且
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81bb4617c8243e893181912d492c0494.png)
___________ .
![](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/61f51cc2c61096ca293e392496d78d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1af3145450772114f644e8fe2b753b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81bb4617c8243e893181912d492c0494.png)
您最近一年使用:0次
2023-09-05更新
|
494次组卷
|
2卷引用:陕西省咸阳市武功县普集高级中学2023届高三5月校模考(一)数学(文)试题