名校
1 . 在
中,
为
的外心,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fd64a51dc0617e5e1e5dd61f80bbe35.png)
__________ .若
,则
的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6da2a53a95d2d5b19fa91cf04f5052cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fd64a51dc0617e5e1e5dd61f80bbe35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6f6aebbd26b65f4f1395a8f31129a6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
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2023-06-13更新
|
236次组卷
|
3卷引用:福建省厦门第二中学2022-2023学年高一下学期5月阶段性考试数学试题
名校
2 . 在
中,已知
为边
上一动点,过点
作一条直线交边
于点
.
为
中点,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/311c270ea238b5c508c867945fd416c9.png)
___________ .;
(2)设
,则
的最大值是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da565fc1fe7b8361b95a084f4a87cddd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/d8feb746c04bd5c9311260ea61bb1011.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aed49ecc2b80bfb03b872742eacfccf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/311c270ea238b5c508c867945fd416c9.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89b3c6e2e5c46d4be6c55b4816b38f8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b613f0f8acbcf67a315352ca292172d.png)
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2022-09-01更新
|
1614次组卷
|
6卷引用:福建省福州市闽侯县第一中学2023-2024学年高一下学期第二次月考(5月)数学试题
名校
解题方法
3 . 如图,设
,
是平面内相交成
角的两条数轴,
,
分别是与
轴、
轴正方向同向的单位向量.若向量
,则把有序实数对
叫做向量
在坐标系
中的坐标.若
,则:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/23/9de02700-61a0-4619-b546-9e4675020173.png?resizew=449)
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d83e95b9bb3592b073d01968e8b1ddf2.png)
__________ ;
(2)设
,其中
,且
,
的夹角为锐角,则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e5af20b2f8c1fba4470f9650989e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b14069d21d32c724f0ebe3e311f114c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b28baf17059c56ee9ad1ae4814acd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b04618e5b2db68f2de6ba68972c505c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b257fe21a91d22e853b1642c9d44647.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cec64476aaca08de0808afda3618109c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0544b820f8f3095a7a5d4af207d87290.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/23/9de02700-61a0-4619-b546-9e4675020173.png?resizew=449)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d83e95b9bb3592b073d01968e8b1ddf2.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c2e9ef3e6f57fe1cfbdb76a7bd1900c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/995ec593baa4ef50b6d87c78380953d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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2022-03-26更新
|
192次组卷
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2卷引用:福建省厦门市第三中学2021-2022学年高一下学期第一次月考数学试题
名校
4 . 已知在△ABC中,AD是∠BAC的角平分线,与BC交于点D,M是AD的中点,延长BM交AC于点H,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dab20bdd00691b9b8d664c947437ff55.png)
___________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/becf5b8bf645e3e337c149695def2414.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bd8c4f5c151f79824629281f0f288a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b714bbc5628e1df56a18d75d2d0a5baa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dab20bdd00691b9b8d664c947437ff55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/becf5b8bf645e3e337c149695def2414.png)
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2022-03-23更新
|
191次组卷
|
2卷引用:福建省龙岩市长汀县第一中学2021-2022学年高一下学期第一次月考数学试题
名校
5 . 在
中有如下结论:“若点
为
的重心,则
”.设
分别为内角
的对边,点
为
的重心. 若
,则内角
的大小为_________ ;当
时,
的面积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/953bbd281e02da9e2e4a0a13843b94a4.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dedb5376262d69e5e3a22c9df0d8dfe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
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2021-03-29更新
|
92次组卷
|
2卷引用:福建省连城县第一中学2020-2021学年高一下学期第一次月考数学试题
名校
6 . 在平面直角坐标系
中,已知向量
,
,
.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
______ ;若存在两个不同的
值,使得
恒成立,则实数
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8081b51426746c3d3e9bc7dc461d7f1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/727afc22babc431338b09469af165d8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a90f71a22daa4df7bd75c1e3e66fcb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e32b6dc307d12bbd6b850a67b0599620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23965a11dde89f3bfb88c15c4cb4bf40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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2021-07-04更新
|
312次组卷
|
6卷引用:福建省福州市格致中学2020-2021学年高一3月第一次月考数学试题
福建省福州市格致中学2020-2021学年高一3月第一次月考数学试题黑龙江省哈尔滨师范大学附属中学2020-2021学年高三上学期10月月考理科数试题福建省漳州市2020-2021学年高一下学期期末数学试题山东省菏泽市2019-2020学年高一下学期期末考试数学试题(已下线)专题06 平面向量 -备战2021年高考理科数学之纠错笔记系列(已下线)专题6.2 平面向量的基本定理及坐标表示(练)- 2022年高考数学一轮复习讲练测(新教材新高考)
名校
7 . 已知正六边形
的边长为
.那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b7354454b2913511fa9aededb8f9f32.png)
_______ .若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b7354454b2913511fa9aededb8f9f32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30e3e42d59ce9a4db486730e96cf4d78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
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2021-01-20更新
|
1056次组卷
|
7卷引用:福建省宁化第一中学2020-2021学年高一下学期第一次月考数学试题
名校
解题方法
8 . 已知
、
分别为椭圆
:
(
)的左、右焦点,点
关于直线
对称的点
在椭圆上,则椭圆的离心率为______ ;若过
且斜率为
(
)的直线与椭圆相交于
、
两点,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.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/84091e87db278a19f90b8a944cb0c6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
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2021-01-09更新
|
405次组卷
|
14卷引用:福建省晋江市养正中学2020-2021学年高二上学期第二次月考数学试题
福建省晋江市养正中学2020-2021学年高二上学期第二次月考数学试题2019年浙江省高三上学期百校联考数学试题江苏省两校(徐州一中、兴化中学)2020-2021学年高三上学期第二次适应性联考数学试题(已下线)专题9.5 椭圆 (练)-浙江版《2020年高考一轮复习讲练测》浙江省百校2019-2020学年高三联考数学试题(已下线)专题9.3 椭圆(练)-2021年新高考数学一轮复习讲练测(已下线)专题9.7 圆锥曲线综合问题(精练)-2021年新高考数学一轮复习学与练新高考2021届高三考前保温热身模拟卷数学试题(四)苏教版(2019) 选修第一册 突围者 第3章 全章综合检测北师大版(2019) 选修第一册 突围者 第二章 全章综合检测(已下线)专题9.3 椭圆 2022年高考数学一轮复习讲练测(新教材新高考)(练)(已下线)专练34 专题强化6-椭圆的综合应用-2021-2022学年高二数学上册同步课后专练(人版A版选择性必修第一册)人教A版(2019) 选修第一册 实战演练 全册综合验收检测2023版 苏教版(2019) 选修第一册 突围者 第3章 全章综合检测
名校
9 . 如图,在菱形
中,
,
分别是
的中点,若线段
有一点
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
__________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acd82dceda2bf9ca99645183a06dec85.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd93ae477b9f59c0f6f9f608970aac6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/481e426224c3a3ce9bb5a731eed81c40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db78843d7139b1e2e596e16dcdf8e373.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acd82dceda2bf9ca99645183a06dec85.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/aa1f63d7-9497-44b9-8e17-d4e5f86271cf.png?resizew=167)
您最近一年使用:0次
2020-05-28更新
|
560次组卷
|
4卷引用:福建泉州一中2020-2021学年高二上学期第一次月考数学试题
福建泉州一中2020-2021学年高二上学期第一次月考数学试题2020年浙江省新高考名校联考信息卷(六)(已下线)专题1.1 空间向量及其运算-2020-2021学年高二数学同步课堂帮帮帮(人教A版2019选择性必修第一册)(已下线)专题1.1 空间向量与空间向量基本定理(B卷提升篇)-2020-2021学年高二数学选择性必修第一册同步单元AB卷(新教材人教A版,浙江专用)
名校
解题方法
10 . 如图,
中,E,F分别是BC,DC的中点,G为交点,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/511e2b3ce8ef407cee4f955e3574ba36.png)
________ ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/904b89a084f79947a5030d408be5e9bd.png)
________
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b536ac375a0b74e9c7efbc585f987f72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c4abd10ab43ce90743bd0f79b1f5bfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/511e2b3ce8ef407cee4f955e3574ba36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/904b89a084f79947a5030d408be5e9bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/427fa45527d0ce469bfd060bf6f991f3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/51ae3638-27d2-4379-b31b-c98c1df28829.png?resizew=187)
您最近一年使用:0次