名校
1 . 在
中,角A,B,C的对边分别为a,b,c,且满足
.
求角A的大小;
若D为BC上一点,且满足
,
,
,求a.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8236c6d95d5b5ea0a491f80fd2d4f42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf6c84731e5e1bd335ecfc2d36c3d81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f53190d6ead827a6338b9de847aeaf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff400c098ae6bf6abd24651a5a21114e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d4746df85049d1651d3f6c30212a7a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcdb7a488910743dc5c63afb394b87e2.png)
您最近一年使用:0次
2018-12-30更新
|
599次组卷
|
2卷引用:【全国百强校】山东省济南外国语学校2019届高三12月月考数学(理)试题
名校
2 . 在△ABC中,
.
(1)求△ABM与△ABC的面积之比;
(2)若N为AB中点,
与
交于点P,且
(x,y∈R),求x+y的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e791b87a376eb6eae94a4ad0078146c6.png)
(1)求△ABM与△ABC的面积之比;
(2)若N为AB中点,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa243c5f5f5db040d7c047b1c3a19d28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2f67825a3d7ccadc96e582b77935e44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa33e1fb59b317c9592546c096d5f050.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/24/a2eb9c84-bc2d-482f-a9aa-d29b61ef47a8.png?resizew=156)
您最近一年使用:0次
2018-10-05更新
|
2121次组卷
|
8卷引用:海南省儋州市第二中学2020-2021学年高一3月月考数学试题
海南省儋州市第二中学2020-2021学年高一3月月考数学试题山东省烟台市栖霞市第一中学2022-2023学年高一下学期3月月考数学试题河北省定州市2016-2017学年高一上学期期末考试数学试题【全国校级联考】吉林省舒兰一中、吉化一中、九台一中、榆树实验中学等八校联考2017-2018学年高一下学期期中考试数学试题【全国百强校】吉林省吉化第一高级中学校 2017-2018学年高一下学期期中考试数学试题【全国校级联考】江西省上饶县中学2017-2018学年高一下学期期末考试数学(文)试题(已下线)第六章+平面向量初步(能力提升)-2020-2021学年高一数学单元测试定心卷(人教B版2019必修第二册)第二章平面向量及其应用章末综合检测-2022-2023学年高一下学期数学北师大版(2019)必修第二册
名校
解题方法
3 . 如图,在
中,
为
边的中点,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b21769d2722193bc1747de4f53ddf0d5.png)
和
相交于
,设![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37a837f384ac258e75f2f6f3c3baaa9b.png)
.
![](https://img.xkw.com/dksih/QBM/2018/6/1/1957915637399552/2022174827773952/STEM/6c9d7ee640aa4bbca34e75beb0c3880f.png?resizew=151)
(1)用向量
和
来表示
;
(2)若
,求实数
的值.
![](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/b21769d2722193bc1747de4f53ddf0d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37a837f384ac258e75f2f6f3c3baaa9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e87ffa0a22ff3e1ccf7f6486f168c3bf.png)
![](https://img.xkw.com/dksih/QBM/2018/6/1/1957915637399552/2022174827773952/STEM/6c9d7ee640aa4bbca34e75beb0c3880f.png?resizew=151)
(1)用向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a92e6eba8dab638fd66831cd3a0b6d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/427fa45527d0ce469bfd060bf6f991f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf52da8596b09e8d59482ecd7c79c49e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4af011855e84408bdae5760b5b61e2aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
名校
解题方法
4 . 如图,G是△OAB的重心,P,Q分别是边OA、OB上的动点,且P,G,Q三点共线.
![](https://img.xkw.com/dksih/QBM/2018/6/1/1957886927265792/2007600146112512/STEM/7759616610d14f1d9793e51b87f1cc5a.png?resizew=148)
(1)设
,将
用
,
,
表示;
(2)设
,
,证明:
是定值.
![](https://img.xkw.com/dksih/QBM/2018/6/1/1957886927265792/2007600146112512/STEM/7759616610d14f1d9793e51b87f1cc5a.png?resizew=148)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9b61490986067fa44063a3447028b93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2574f0612e66264442c62ded49e74fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82973c2b6d1c407318545f1c0f32ec2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/021ae55268792835b5b26588678abee1.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e36e78f5e4418360abda91b5371d2354.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de250e2fc4d0740b0ec4b4f7fb99a61a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f0b84ee4ed90face0993d4f4dda379.png)
您最近一年使用:0次
2018-08-10更新
|
5263次组卷
|
12卷引用:福建省厦门市双十中学2018-2019学年高一上学期12月月考数学试题
福建省厦门市双十中学2018-2019学年高一上学期12月月考数学试题【全国校级联考】广州市培正中学2018年高一第二学期数学必修(四)综合测试题一山东省临沂市罗庄区2019-2020学年高一下学期期末考试数学试题(已下线)练习13+向量减法与数乘运算-2020-2021学年【补习教材·寒假作业】高一数学(苏教版)江西省南昌东湖区南昌市第二中学2020~2021学年高一下学期开学考试数学试题苏教版(2019) 必修第二册 过关斩将 第9章 本章达标检测苏教版(2019) 必修第二册 一课一练 第9章 平面向量 9.2 向量运算 第3课时 向量的数乘黑龙江哈尔滨第九中学校2022-2023学年高二上学期开学检测数学试题(已下线)6.2.3向量的数乘运算(精练)-【精讲精练】2022-2023学年高一数学下学期同步精讲精练(人教A版2019必修第二册)(已下线)第02讲 平面向量的运算-《知识解读·题型专练》(人教A版2019必修第二册)(已下线)第9章 平面向量 单元综合检测(重点)-《重难点题型·高分突破》(苏教版2019必修第二册)江西省南昌市第十九中学2022-2023学年高一下学期期中考试数学试卷
名校
5 . 如图,在
中,
,
是
的中点,设
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/17/dd8cd5cc-d9af-4073-a039-e8196eb8ccab.png?resizew=159)
(1)试用
,
表示
;
(2)若
,
,且
与
的夹角为
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/535b26625378bb65a373d6fe9d16f67b.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/1887a1513aee097a396e99d7399c4e22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4851948ee018b0cf4e52b04f738f3f0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/17/dd8cd5cc-d9af-4073-a039-e8196eb8ccab.png?resizew=159)
(1)试用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d036188ce294e3c7427d0b7d2294fd2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28280aaac77be24aa72379e49b6f01e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/285a78e061d318c724971ce7def2d8dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1f102e09983c725136c7f79226d2274.png)
您最近一年使用:0次
2018-07-13更新
|
1108次组卷
|
13卷引用:浙江省杭州市萧山区第二高级中学2020-2021学年高一下学期3月月考数学试题
浙江省杭州市萧山区第二高级中学2020-2021学年高一下学期3月月考数学试题安徽省蚌埠市田家炳中学2020-2021学年高一下学期6月月考数学试题湖北省黄冈市罗田县第一中学2021-2022学年高一下学期3月月考数学试题重庆市清华中学2021-2022学年高一下学期第一次月考数学试题四川省高县中学校2021-2022学年高一下学期第二次月考数学(理)试题福建省三明市五县2022-2023学年高二上学期联合质量检测数学试题安徽省合肥市肥东县综合高中2022-2023学年高一下学期2月第一次月考数学试题山东省聊城颐中外国语学校2022-2023学年高一下学期第一次自我检测数学试题河南省洛阳市第二高级中学2022-2023学年高一下学期5月月考数学试题【全国市级联考】河南省新乡市2017-2018学年高一下学期期末考试数学试题福建省泉州科技中学2020-2021学年高一下学期期中考试数学试题河南省洛阳市洛阳格致学校2022-2023学年高一下学期期中数学试题福建省厦门市五显中学2022-2023学年高一下学期期中考试数学试题
名校
6 . 在平行四边形
中,
,
分别是
,
上的点且
,
,
与
交于点
.
(1)求
的值;
(2)若平行四边形
的面积为21,求
的面积.
![](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/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e86ef273748d334421dae0820be7a1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3364a23329ee382337f60d2bbea75f7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e322e0c87479bba874db9ae9ba36b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6b310da21b83b7eadcd064678231c59.png)
(2)若平行四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7ffcd1925a2b1259221c6a476152f7.png)
您最近一年使用:0次
2018-06-21更新
|
1048次组卷
|
9卷引用:【全国百强校】重庆市万州二中2017-2018学年高 2020级高一下学期 5 月数学(文)月考试题
【全国百强校】重庆市万州二中2017-2018学年高 2020级高一下学期 5 月数学(文)月考试题河南省顶级名校2019-2020学年高二上学期10月阶段性检测数学(理)试题河南省顶级名校2019-2020学年高二上学期10月阶段性检测数学(文)试题河北省张家口市宣化区宣化第一中学2020-2021学年高二上学期10月月考数学试题(已下线)2018年9月15日 《每日一题》一轮复习【理】-周末培优(已下线)2019年9月14日 《每日一题》2020年高考理数一轮复习-周末培优(已下线)专题04 平面向量基本定理及坐标表示(题型专练)-《知识解读·题型专练》(人教A版2019必修第二册)(已下线)第一次月考解答题压轴题十六大题型专练(1)-举一反三系列(人教A版2019必修第二册)福建省泉州市安溪县2023-2024学年高一下学期期中考试数学试卷
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7 . 如图,在矩形
中,点
在边
上,且
,
是线段
上一动点.
![](https://img.xkw.com/dksih/QBM/2018/2/2/1873747803422720/1874567119216640/STEM/21afc1a0-89ed-42d3-92df-361f9f615038.png?resizew=307)
(1)若
是线段
的中点,
,求
的值;
(2)若
,求
的最小值.
![](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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02d6665ac935d5a905a58795c5005f4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://img.xkw.com/dksih/QBM/2018/2/2/1873747803422720/1874567119216640/STEM/21afc1a0-89ed-42d3-92df-361f9f615038.png?resizew=307)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3622f47200f3325fe95dce1be1c56922.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feb75e46326a963cd7a38d1842d6319f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0430dd81189c71129a8b2d1f650e50e.png)
您最近一年使用:0次
2018-02-03更新
|
973次组卷
|
5卷引用:陕西省榆林中学2019-2020学年高一下学期第二次月考数学试题
8 . (1)在直角坐标系
中,已知点
,
,
,点
在
三边围成的区域(含边界)上.若
,求
;
(2)在平行四边形
中,
,
,连接
、
相交于点
,若
,求实数
与
的乘积.
![](https://img.xkw.com/dksih/QBM/2017/11/14/1817079258783744/1818439297310720/STEM/8c3d78be78564bc4b44526c759d309fd.png?resizew=277)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8520a14da6394d9cbdb3ce781cff511b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9827b42f7084defde57776a438eefa9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5d3c69008009bed1a23c397fb7b99be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8701e0cce437edc830438b4fe6277d89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/129d003027095df9b8db1eef1345bc6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07bf7608da5d60e31c0973fd8ac2ecb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02f2232f758f277a7449faba0871c04.png)
(2)在平行四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6335eb644513a522541b9542970e2469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e0f95d849659f39e51a1a825bdb90f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d21cd65e6f7ff425035aead4203b3a4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1100379a4385b9ce064847bc21760adc.png)
![](https://img.xkw.com/dksih/QBM/2017/11/14/1817079258783744/1818439297310720/STEM/8c3d78be78564bc4b44526c759d309fd.png?resizew=277)
您最近一年使用:0次
9 . 在边长为1的正三角形
中,设
,
,点
满足
.
(1)试用
表示
;
(2)若
(
,且
),求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cef7f1e7a48166499a172934b4a8e25e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31a3851b0546032545125a2ee6a7c00c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2544d2219b85e4f5fa78ff110a7a1e30.png)
(1)试用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42503437fb44722722cd20835f11d233.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/506ed205f69a064c4091e152f5da7087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dcbca3478eae63853d2aab5332e2e56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f0e9c04402a0ffdaa25c3e3c82c7dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39145de56f3127e1b04b8b8db0d3cfa8.png)
您最近一年使用:0次
2017-11-16更新
|
497次组卷
|
2卷引用:安徽省滁州市定远县重点中学2020-2021学年高三上学期11月质量检测数学(文)试题
名校
10 . 已知点
,
为坐标原点.
(1)若
,求
的值;
(2)若实数
满足
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b0b48f87b1cf5d25b590c60fa3dfb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12119a418505ce8c190c575a6de38bff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00a080cab44a7d3605430d67b207f9be.png)
(2)若实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9ab8d9ec70b87c38a978f43d012eff0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ccb9e2ad02134176b62c4b4b9b6cd92.png)
您最近一年使用:0次
2017-07-25更新
|
512次组卷
|
3卷引用:湖南省长沙市明德中学2015-2016学年高一5月月考数学试题