名校
1 . 如图,在
中,已知
,
,
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/256d4d8e56294a52629e98e57bd276f0.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d11a5a756d8fdd7b294c4f5fd63467b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59125a0220d722e4bcab5c7caf9cbbef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8118b2ecf4ab59ffa912aeaafc5e982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/256d4d8e56294a52629e98e57bd276f0.png)
![](https://img.xkw.com/dksih/QBM/2018/5/21/1950261578686464/1952498123997184/STEM/ec8cdbe44024425eaa3ad7f02265eb2d.png?resizew=185)
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解题方法
2 . 如图在平行四边形
中,已知
,
,
,
,则
的值是______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54275b7e571660d0a9e0370fbfe5050b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf7679c8b4b1e442ce4286d4b0e9c32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0024bb6ef3fed73c1b06fd7c2b8d74b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecd61e67547e92addc809b1b34cf3428.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/333499181deb97cb793630a3d484f178.png)
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2019-03-21更新
|
3582次组卷
|
20卷引用:【区级联考】天津市河东区2019届高三一模数学(理)试题
【区级联考】天津市河东区2019届高三一模数学(理)试题2019届天津市南开区南开中学高三下学期第三次月考数学(理)试题2014-2015学年江苏省东海县二中高一下学期必修四综合检测数学试卷2014-2015学年山西省临猗中学高一下学期期中考试数学试卷2015-2016学年贵州遵义一中高一下第二次联考数学试卷山西省晋中市平遥二中2018-2019学年高一下学期期中数学试题(已下线)上海市华东师范大学第二附属中学2019-2020学年高二上学期10月月考数学试题(已下线)题型04 平面向量数量积与三角形平面向量中线定理-2020届秒杀高考数学题型之平面向量沪教版(上海) 高三年级 新高考辅导与训练 第二部分 走近高考 第八章 向量高考题选(已下线)题型04 平面向量数量积-2021年高考数学题型秒杀之平面向量(已下线)极化恒等式试题(已下线)第12讲 向量的坐标表示(讲义)-【教育机构专用】2021年春季高一数学辅导讲义(沪教版2020必修第二册)(已下线)考点34 平面向量的应用举例-备战2021年高考数学经典小题考前必刷(新高考地区专用)(已下线)极化恒等式从入门到精通(已下线)专题04 极化恒等式 -【重难点突破】2021-2022学年高一数学常考题专练(人教A版2019必修第二册)(已下线)解密07 平面向量(讲义)-【高频考点解密】2022年高考数学二轮复习讲义+分层训练(浙江专用)(已下线)广东省深圳市深圳中学2022-2023学年高一下学期期中数学试题福建省泉州市晋江市第二中学、鹏峰中学、泉港五中2022-2023学年高二下学期期末联考数学试题(已下线)专题10 平面向量(理科)-2(已下线)专题9 平面向量(文科)-1
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3 . 已知菱形
的边长为
,
,点
、
分别在边
,
上,
,
,若
,则
的最小值__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eee296a7d9fba487f1485c61580196f.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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d276c39029bfe05a2bae80adcfc2a95a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f97bdc92997940fbbb4445a3be4a0b59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da2d3f9a897b47f10b0425df0e2ff515.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de70b417f01a0099f6d4c5511a7c77ae.png)
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2018-04-28更新
|
1231次组卷
|
8卷引用:天津市滨海新区七所重点学校2018届高三毕业班联考数学文科试题
天津市滨海新区七所重点学校2018届高三毕业班联考数学文科试题2020届天津市第一百中学高考模拟数学试题(已下线)天津市七所重点学校2023届高三下学期3月联考文科数学试题【全国校级联考】滨海新区七所重点学校2018届高三毕业班联考数学(文)试题(已下线)第28讲 向量的分解与向量的坐标运算-2021年新高考数学一轮专题复习(新高考专版)黑龙江省农垦建三江管理局第一高级中学2020-2021学年高三上学期期中考试 数学(文)试题(已下线)重难专攻(六) 平面向量的最值问题 讲(已下线)重难点突破03 最全归纳平面向量中的范围与最值问题 (十大题型)-1
4 . 在
中,4a
+2b
+3c
=
,其中
,
,
分别为角
,
,
所对应的三角形的边长,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/facd1fcfad659e95da18c38e5eb157b8.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d792a2aa25763e14cc2863be3887000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00490134f8caa9cc28910fb1aaff85e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9795e7f5cb9b366776c41d8f3f43942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a85b26387e5425ca06cf14fcc15dc1b1.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/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/facd1fcfad659e95da18c38e5eb157b8.png)
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解题方法
5 . 如图,在梯形
中,
,
,
,
.
是线段
上一点,(可与
,
重合),若
,则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a11029ca6b4b9e7f777af0280cf163c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d5a2cd05e4476fc72271e8fdb59a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/833cfda415649b832cc136caed392753.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89378eb44f096a3d535778c0572276ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/333499181deb97cb793630a3d484f178.png)
![](https://img.xkw.com/dksih/QBM/2018/4/17/1925783812685824/1928215725776896/STEM/41c929e2-9596-4d13-bf56-af4dd39b0ebc.png?resizew=181)
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2018-04-20更新
|
1503次组卷
|
2卷引用:天津市第一中学2018届高三下学期第四次月考数学(理)试题
名校
6 . 在等腰梯形中,
,
,
,
,若
,
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/099a5abc3820d660430ce40ed3f5db7b.png)
__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30e9e26d127b0208e61a0ffcd0f8f37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf435f85883d2db2430a5b7bf41dab8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5e91e7698e159cfe9d00a62912d9b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe9e5f5abdacef3059b9e56c6dcdb59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/597fc0ad02fe71297a26c7bc6ee1b16b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccb4e527830cc7c15240220cbe4273e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51b1017d310b9d80a1ff91b19ed0995c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/099a5abc3820d660430ce40ed3f5db7b.png)
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2018-03-31更新
|
950次组卷
|
6卷引用:2018年天津市十二重点中学高三毕业班联考数学理(一)
解题方法
7 . 在
中,点
是中线
上一点,
经过点
,与边
,
分别交于
,
,若
,
,且
,
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/411461db15ee8086332c531e086c40c7.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/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31169492f191c839ba94ffd9edc0cd20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d85d5c79ab36aece4a96dde9ea62e347.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1734333c64d445ffb88d719827a1969c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55881285c3bea9e25144254cf2037540.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
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8 . 在
中,
,
,
为
边上的点,且
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0384157d3461a14b224cfa367303afe0.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f36c61d282f9b43ad874983c4b32e9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d0236d9dea89acb35d88f0857b38dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59a62c679d7e0edbdf2c5e085b889940.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3214cc3b9c75799a254550e126567117.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0384157d3461a14b224cfa367303afe0.png)
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9 . 如图,在平面四边形
中,
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5113986d9507fc5015e71989831c128b.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a3b0cd3f1211dfffbb834ec4da6412.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0664c74b1b9ae5ab97702df56e25c870.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5113986d9507fc5015e71989831c128b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/7/7b478740-3761-4c83-a5a5-986e44a997f9.png?resizew=163)
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10 . 在
中,若
,
,
,
分别为
边上的三等分点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fc908f217bd73669afab42c36836b9d.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/691278e39fa214a152681b2f8288d0f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fc908f217bd73669afab42c36836b9d.png)
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