名校
解题方法
1 . 如图,在
中,
是
的中点,
是线段
上靠近点
的四等分点,设
.
长为
长为
,求
的长;
(2)若
是
上一点,且
,试判断
三点是否共线?并说明你的理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/211429ce394297f664f6b8e16edec714.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa98090f1126d9e642cdaaeef34ccf1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19bc08b9379d5f64567b68c49e5eb8a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1ee1ea509875a6ce53b37e5e25d0ed2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb4817f6d025306bfcba653b4e8d4dc6.png)
您最近一年使用:0次
2024-04-23更新
|
413次组卷
|
5卷引用:河南省周口市鹿邑县第二高级中学校2023-2024学年高一下学期月考(一)(3月)数学试题
河南省周口市鹿邑县第二高级中学校2023-2024学年高一下学期月考(一)(3月)数学试题河南省洛阳市洛阳强基联盟2023-2024学年高一下学期3月联考数学试题河北省沧州市沧州十校2023-2024学年高一下学期3月月考数学试题(已下线)模块五 专题4 全真能力模拟2(北师版高一期中)(已下线)模块五 专题四 全真能力模拟2(高一期中模拟)
名校
解题方法
2 . 下列各组向量中,能作为基底的是( )
A.![]() |
B.![]() |
C.![]() |
D.![]() |
您最近一年使用:0次
2024-04-23更新
|
666次组卷
|
4卷引用:河南省周口市鹿邑县第二高级中学校2023-2024学年高一下学期月考(一)(3月)数学试题
名校
3 . 如图,在
中,
,
,D,F分别为
的中点,P为
与
的交点,且
.若
,则
________;若
,则
________.则求解正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3adc4ed291596abf3bb93ae7a075d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cc03a3ba496faee748a8d63e5d4fa92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cca04b2a2b61d62a809776670a60c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79b194152945f719c21bbe5d525338d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d426c98a712c3e5ddc8f2dff60efad2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68e4de3cb03cd4c55fb031de5c063966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a11befb78a4346dba62561d3551584.png)
A.![]() ![]() | B.![]() ![]() | C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
解题方法
4 . 如图,
分别是等腰梯形
的边
上的动点,
,其中
为定值,
,设
,其中
.
,求出
的表达式;
(2)证明:
的余弦值与
的取值无关;
(3)求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ced9844fe2e052c70486af0740afa63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/596d41b6556f383445536d1c534ac182.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1f07948e9258b482a2164ac871f90f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a18fec3e4a4fbc7b3e0e037ce650023.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d91513d2e546a5a0b5fd42379db8df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94e72cf7374a65ced433b6fa113ef57d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15e2be3e9225c71609248299caa49432.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192c2f1059f6e05d44df048f5fdca04b.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff7023ec0f513c7d0ef86859a5ede54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5db625151987f893816de66b15d9e699.png)
您最近一年使用:0次
解题方法
5 . 如图,在
中,
为
边上一点,且
.
,求实数
的值;
(2)若
,求
的值;
(3)设点
满足
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4253aaba6bd1a82719bdc3fb0b8d1e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/810633059a470392035aa375dfc20fd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e06ca53803f042a5eca99f56a70f05e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2e647c14561826ba9e396acc5a3792c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4822193151a92d1ab5cf2ced1e431ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7a66e27ef92fcc51530e54533e23973.png)
(3)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6cfeef6dbc266f8ca53f78e7833e82d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca9b144a90e0a58c03398f066ec48861.png)
您最近一年使用:0次
名校
解题方法
6 . 设
是平面内一个基底,则下面四组向量中,能作为基底的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32a341ba62373f3286b0a3425cbc3f79.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
您最近一年使用:0次
名校
解题方法
7 . 在
中,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1f80c193bf76030524b4ed7a00d2272.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9769839f35c2b7002b9f5e62f40b34de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-01-26更新
|
761次组卷
|
3卷引用: 河南省周口市西华县第二高级中学2023-2024学年高一下学期开学考试数学试题
河南省周口市西华县第二高级中学2023-2024学年高一下学期开学考试数学试题(已下线)必考考点1 平面向量的运算 专题讲解(高一期末考试必考的10大核心考点 )湖南省岳阳市岳阳楼区2022-2023学年高二上学期期末教学质量监测数学试题
名校
解题方法
8 . 记
的内角
的对边分别为
,
的面积为
.
(1)求
;
(2)若
,
,
为
边的中点,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/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddd35f713d168f5a9424a3a9365f815d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580cc037c0c760c728cdbb74a8154c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43d32b3365c23f52bb6465adfecdf0eb.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/9d78abbad68bbbf12af10cd40ef4c353.png)
您最近一年使用:0次
2023-08-19更新
|
935次组卷
|
5卷引用:河南省周口市项城市5校2024届高三上学期8月开学摸底考数学试题
名校
9 . 如图,在
中,
是线段
上的点,且
,
是线段
的中点,延长
交
于
点,设
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
__________ ;若
为边长等于2的正三角形,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b099a0cfbb1f13a91277540bf004c66a.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/c185466a3517b2f1453e175748963873.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf1438142deeac876fc7dc50552e552.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/f1aec9d16d88595567bb3b3394888280.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b099a0cfbb1f13a91277540bf004c66a.png)
您最近一年使用:0次
2023-10-25更新
|
1228次组卷
|
7卷引用:河南省周口恒大中学2024届高三下学期5月月考数学试题
河南省周口恒大中学2024届高三下学期5月月考数学试题(已下线)9.3 向量基本定理及坐标表示2-【帮课堂】(苏教版2019必修第二册)(已下线)模块一 专题2 平面向量基本定理与坐标运算(A)(已下线)模块一专题2《平面向量基本定理与坐标运算》A基础卷(苏教版)(已下线)模块一 专题4 平面向量基本定理与坐标运算(A)北师大版高一期中(已下线)专题05向量数量积期末10种常考题型归类-《期末真题分类汇编》(人教B版2019必修第三册)天津市和平区2022-2023学年高一下学期期末数学试题
解题方法
10 . 在
中,点
在边
上,若
,则
( )
![](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/95effb7d61c4553d20d0e032b5233396.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/808382ba1d893826a026d85e0cd67609.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-09-27更新
|
165次组卷
|
2卷引用:河南省周口市西华县第三高级中学2023-2024学年高二下学期第一次月考数学试题-