名校
1 . 如图,在
中,点
满足
,
是线段
的中点,过点
的直线与边
,
分别交于点
.
,求
的值;
(2)若
,
,求
的最小值.
![](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/b4090e869a70edb8917446ff0cdaff71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.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/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee4139d603481deefdc0aab2b753c44c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cd4af2c49cfde809f4bdae31f946a4a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e89fc6aa4306d64ce4b7046c8e6fae48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b24ce04da2250b121940c2bda6334026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e6af274b91dde856191e4cba8d30852.png)
您最近一年使用:0次
2024-01-11更新
|
3470次组卷
|
16卷引用:辽宁省部分高中2023-2024学年高一上学期期末考试数学试题
辽宁省部分高中2023-2024学年高一上学期期末考试数学试题(已下线)高一下学期第一次月考数学试卷(提高篇)-举一反三系列(已下线)6.2.3 向量的数乘运算(分层作业)-【上好课】(已下线)2.3 从速度的倍数到向量的数乘-同步精品课堂(北师大版2019必修第二册)(已下线)高一下学期期中数学试卷(提高篇)-举一反三系列(已下线)2.3 从速度的倍数到向量的数乘6种常见考法归类-【帮课堂】(北师大版2019必修第二册)(已下线)专题3 平面向量的应用(期中研习室)河北省石家庄四十三中2023-2024学年高一下学期月考一数学试题(已下线)专题01 平面向量-《期末真题分类汇编》(人教A版2019必修第二册)(已下线)专题02 高一下期末真题精选(1)-期末考点大串讲(人教A版2019必修第二册)(已下线)第9章 平面向量 章末题型归纳总结-【帮课堂】(苏教版2019必修第二册)(已下线)第9章 平面向量 单元综合检测(难点)-《重难点题型·高分突破》(苏教版2019必修第二册)湖南省株洲市第二中学2024年第四届“同济大学”杯数理化联赛高一数学试题福建省宁德市博雅培文学校2023-2024学年高一下学期第一次月考数学试题福建省莆田第五中学2023-2024学年高一下学期第一阶段考试数学试题江苏省苏州市张家港市沙洲中学2023-2024学年高一下学期3月月考数学试卷
名校
解题方法
2 . 在
中,内角
的对边分别为
,已知
.
(1)求角
的值;
(2)若
,且
的面积
.
(i)求证:
;
(ii)已知点
在
上,且满足
,延长
到
,使得
,连接
,求
.
![](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/cea3828a41d2b94cdd624370d9fd67f9.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c45febb473ecf71847aca1c9175aecb3.png)
(i)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbe8fff55c06f220725f4124e45a1e89.png)
(ii)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fafc2a62e34627cc13806b808ee2a67f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9415cc568e6ad9e838a6f3c5f5c920a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28a77aa6c27acfffcc601d9ca7e6d4c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1db8d89f3307bfd45a3c0f16e7f70f6.png)
您最近一年使用:0次
2023-07-06更新
|
844次组卷
|
5卷引用:天津市滨海新区2022-2023学年高一下学期期末数学试题
天津市滨海新区2022-2023学年高一下学期期末数学试题(已下线)专题02 解三角形(2)-【常考压轴题】天津市实验中学滨海学校2023-2024学年高一下学期随堂质量监测(月考)数学试题(已下线)专题02 平面向量与解三角形-《期末真题分类汇编》(天津专用)贵州省铜仁第一中学2023-2024学年高二上学期8月摸底衔接质量检测(三)数学试题
名校
3 . 在
中,角A,B,C所对的边分别为a,b,c.AD为BC边上的中线,点E,F分别为边AB,AC上动点,EF交AD于
.已知
,且
.
边的长度;
(2)若
,求
的余弦值;
(3)在(2)的条件下,若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3320a13248a3a1208ff6ee85c9d26f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bbd15cd722bbd8a8ae0cb4d4460051e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/323116ce2a88c4d09d9cbb047b3de2fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
(3)在(2)的条件下,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df3d06e548d0ee39a8ae5d960641b7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e26b3b7e7293a85fa650b57cedba871.png)
您最近一年使用:0次
2023-06-20更新
|
787次组卷
|
5卷引用:山东省聊城市2022-2023学年高一下学期期中数学试题
山东省聊城市2022-2023学年高一下学期期中数学试题(已下线)第五章 平面向量与复数(测试)(已下线)专题02 解三角形(2)-【常考压轴题】福建省长汀县第一中学2023-2024学年高一下学期第一次月考试卷数学试卷湖南省常德市汉寿县第一中学2023-2024学年高一下学期5月月考数学试题
名校
解题方法
4 . 在
中,
分别是角
的对边,
.
(1)求角A的大小;
(2)若
为锐角三角形,且其面积为
,点
为
重心,点
为线段
的中点,点
在线段
上,且
,线段
与线段
相交于点
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb8391a30a191b22e483db135fd476cd.png)
(1)求角A的大小;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb4f47cccdb7195f15858fcfdf644214.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167d31eb8432b5c0364316e5048c23dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9ec6ea0c48fd5dd34a5c9dd599071b1.png)
您最近一年使用:0次
2023-05-20更新
|
714次组卷
|
3卷引用:重难点突破03 三角形中的范围与最值问题(十七大题型)-2
(已下线)重难点突破03 三角形中的范围与最值问题(十七大题型)-2江苏省无锡市锡东高级中学2022-2023学年高一下学期期中数学试题浙江省嘉兴市第五高级中学2022-2023学年高一下学期期中数学试题
名校
5 . 如图,设
中角
,
,
所对的边分别为
,
,
,
为
边上的中线,已知
且
,
.
的长度;
(2)求
的面积;
(3)点
为
上一点,
,过点
的直线与边
,
(不含端点)分别交于
,
.若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580cc037c0c760c728cdbb74a8154c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a010e421839936a3dc7fe37a8a4d1b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/323116ce2a88c4d09d9cbb047b3de2fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(3)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94dbe286035a539961037bc0f3accd19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.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/67c7aa7d0b6bba663312bbb129eeaa55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6d0f098d803b2ce1d87158fc3ccb0b4.png)
您最近一年使用:0次
2023-04-21更新
|
1932次组卷
|
7卷引用:江苏省泰州中学2022-2023学年高一下学期期中数学试题
江苏省泰州中学2022-2023学年高一下学期期中数学试题(已下线)高一数学下学期第二次月考02(范围:平面向量,解三角形,复数,立体几何)(已下线)高一下学期期末测试B卷(人教A版(2019)必修第二册全册:平面向量、复数、立体几何、概率统计)上海市三校(金山中学、闵行中学、嘉定一中)2022-2023学年高一下学期5月联考数学试题河南省郑州市第一中学2023-2024学年高一下学期期中考试数学试卷江苏省江阴长泾中学2023-2024学年高一下学期3月份阶段性检测数学试题福建省厦门市同安第一中学2023-2024学年高一下学期第一次月考数学试卷
名校
6 . 如图所示的矩形
中,
分别为线段
上的动点.
为靠近
的三等分点,
为
的中点,且
,求
的值;
(2)若
是边长为1的正三角形.
(i)令
、
、
的面积分别为
,
,
,证明:
;
(ii)求矩形
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/374fe9986ebbc986fc422e514ab93a51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c562ffebf701e6d812eed6fc898fb42b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
(i)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13668f033d00acfc366f7e47949c4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d85bcd207e761df740d87a6acb81bf7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/485fd8aa254b523bef30560500ccaf41.png)
(ii)求矩形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次
2023-04-19更新
|
1039次组卷
|
4卷引用:江苏省南京市协同体七校2022-2023学年高一下学期期中联考数学试题
江苏省南京市协同体七校2022-2023学年高一下学期期中联考数学试题广东省惠州大亚湾经济技术开发区第一中学2023-2024学年高二上学期第一次月考数学试题(已下线)模块四 高一下期中重组篇(江苏)(已下线)专题4 考前优质试题精选练(4)(北师大版高一期中)
名校
解题方法
7 . 在
中,内角A,B,C所对的边分别为a,b,c,且
.
(1)证明:
;
(2)若
,且
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f7cd6984857d9065904531068bbf9d6.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31abd1bf751e769608293c0ba3643c20.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbbf438660d3f1d1df13b7abb7db8c68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2ddd49625097d0a78df7170be4f882e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f857225544797e4bcfa7775cae19200.png)
您最近一年使用:0次
2022-09-30更新
|
1725次组卷
|
7卷引用:皖豫名校联盟2022-2023学年高二上学期开学考数学试题
名校
解题方法
8 . 在
中,角
,
,
所对的边分别为
,
,
.已知
,
,
是边
上一点.
(1)求
的值;
(2)若
.
①求证:
平分
;
②求
面积的最大值及此时
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe29c42302504e7fd8577dbc7d130ac7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab39bf09ea29a610e0e6cc21b74a590e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aebf2deea0ad91e32e06d4497926843.png)
①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
您最近一年使用:0次
2022-06-28更新
|
1520次组卷
|
3卷引用:2023年高考全国乙卷数学(理)真题变式题16-20
(已下线)2023年高考全国乙卷数学(理)真题变式题16-20江苏省常州市溧阳市2021-2022学年高一下学期期末数学试题江苏省江阴市华士高级中学2023-2024学年高一下学期5月学情调研数学试题
名校
解题方法
9 . 在
中,已知D是BC上的点,AD平分
,且
.
(1)若
,求
的面积;
(2)若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fbb16ce756f0f1018a78342617f3bb9.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb325dead45eecd5a51a387ecbab87ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d48e9c80b162296ca51e221f05fc4cf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
您最近一年使用:0次
2021-12-10更新
|
2190次组卷
|
5卷引用:押全国卷(理科)第17题 解三角形与数列-备战2022年高考数学(理)临考题号押题(全国卷)
(已下线)押全国卷(理科)第17题 解三角形与数列-备战2022年高考数学(理)临考题号押题(全国卷)1.2向量的加法运算江苏省南通市2021-2022学年高三上学期期中数学试题江苏省盐城市滨海中学2022届高三下学期三模数学试题江苏省苏州市张家港市沙洲中学2022-2023学年高一下学期3月月考数学试卷
名校
解题方法
10 . 已知平面直角坐标系中,点A(a,0),点B(0,b)(其中a,b为常数,且ab≠0),点O为坐标原点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/4/64f2cdf2-72ca-4572-b2ac-94f4d8d6aa49.png?resizew=150)
(1)设点P为线段AB上靠近A的三等分点,
,求
的值;
(2)如图所示,设点
是线段AB的n等分点,其中
,
①当n=2020时,求
的值(用含a,b的式子表示);
②当a=b=1,n=10时,求
的最小值.
(说明:可能用到的计算公式:
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/4/64f2cdf2-72ca-4572-b2ac-94f4d8d6aa49.png?resizew=150)
(1)设点P为线段AB上靠近A的三等分点,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0094641ca435ad32f1123f9b76a850ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(2)如图所示,设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e60eadd52137f72532d91289ff1b02e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bc6fc8219fc1145ee35afdb0a3ab53c.png)
①当n=2020时,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860b9e2de01dc9c9cf59a3bf1c416baf.png)
②当a=b=1,n=10时,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02eef25856d21e512faa7cc289eee4b4.png)
(说明:可能用到的计算公式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b5bbc6f6636b605f370483ef8268051.png)
您最近一年使用:0次
2021-07-18更新
|
986次组卷
|
4卷引用:重庆市第一中学2020-2021学年高一下学期4月月考数学试题