名校
解题方法
1 . 已知向量
,
.若
,则
可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/582957208ff5f010dfc4dc51055f70be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10966076407ac23aa23e176069ce2454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c19821738f0d50b5cda12920ab23dce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2022-05-12更新
|
1194次组卷
|
5卷引用:北京市海淀区2022届高三二模数学试题
北京市海淀区2022届高三二模数学试题江西省赣州市第三中学2022届高三适应性考试(二)数学(理)试题(已下线)考向18平面向量的数量积及应用举例(重点)-2(已下线)5.2 平面向量的数量积及坐标运算(精练)-【一隅三反】2023年高考数学一轮复习(基础版)(新高考地区专用)重庆市2024届高三下学期高考信息领航预测卷数学试题(二)
2 . 在平面直角坐标系
中,已知一列点:
,
,
,
,
,
,其中
,向量
.
(1)求
和
的值;
(2)证明:对任意的正整数
,都有
;
(3)若正整数
满足
,则下列结论中正确的有___________.(填入所有正确选项的序号)
①
;②
;③![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc8847828c19ed125bc70b12d427b485.png)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c3699abf2078c061894952528e6d9d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cdf35d502313b2efe577c1bfc4aa1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac10857a95801d2f3a97d876c3365738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e5531913e2f170465d8df01795cd51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3633f5e5e1fa6c0470d231d09902058.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e5531913e2f170465d8df01795cd51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29d5ec9ad92f37e64eccce922ab1b14e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d60cfae860356f22ec6014204780d80a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9304a8cfb0fcbbfae416a9e11021a497.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72254fff7080ad8d573893cd00bd9387.png)
(2)证明:对任意的正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49769e8d151949dea6ac52a703ef0d2e.png)
(3)若正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4d7e68d0c8bd9a32d826c721ab74d9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e517c32ed93de4d9cb6e0926337000.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4554216a40609d219999b89fb2096514.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fae599db039ed08f0f68baa2a21bfa5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc8847828c19ed125bc70b12d427b485.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6087d579135b048189dd5b332ec46a7.png)
您最近一年使用:0次
2022-07-19更新
|
687次组卷
|
3卷引用:北京市东城区2021-2022学年高一下学期期末数学试题
北京市东城区2021-2022学年高一下学期期末数学试题(已下线)6.3.5 平面向量数量积的坐标表示(分层作业)-【上好课】2022-2023学年高一数学同步备课系列(人教A版2019必修第二册)第9章 平面向量(单元测试)-2022-2023学年高一数学同步精品课堂(苏教版2019必修第二册)
3 . 已知点
,
和点
,
.给出下列四个结论:
①点
到直线
的最大距离为
;
②当
最大时,
=
;
③
的面积的最大值为
;
④若
,则
.
其中所有正确结论的序号是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60d295a4cc3a58f9f38ee98337313c81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fcf82d01c39fd2c96e1edba0ad37dd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/285f34134c43ba75b616c6591afa79c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e36c9c91220b0f2cbd4a48e8fa90e3d.png)
①点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1f190b17530d81d927c358ac84757a4.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59bafaec1cbb31d644a0df6bbd4fe4f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce5dcaffd91bc44cda4a2e44000ae73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4e7d0191acd17b6a0330ed4e0682f24.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3c94427559676f1e8227566d7d3ce46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eea11be684f46600795154c1ef93268.png)
其中所有正确结论的序号是
您最近一年使用:0次
4 . 已知点
.
(1)求
;
(2)若点M满足
,求M的坐标;
(3)若点N满足
,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1e78adec1f9a4e6882670bcf724e1b5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ace585d3cc2e113a0927cdf9e56756a.png)
(2)若点M满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ca8c0f28d04b5e1decfaa4f6db5533b.png)
(3)若点N满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09bd6af26686d06f71f009920ecd42dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a57595e73fca65e7a78f93d05edc72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0d491ca1d69c14de489ec68aa280c97.png)
您最近一年使用:0次
名校
5 . 已知三角形
,
,
,
.
![](https://img.xkw.com/dksih/QBM/2022/5/1/2970051749396480/2970659656450048/STEM/f1245832-505c-4cde-9bc0-9d7b49137823.png?resizew=163)
(1)
___________,写出一个与
垂直的非零向量
___________;(坐标形式)
(2)求
;
(3)若
于
,求
;
(4)当
最小时,
___________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d454c14fd589fcfbe6aec2797df5894c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d3bfa155ad67018da4d65815c5e5b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3893fcd14417c75a59e44286dd6b00b1.png)
![](https://img.xkw.com/dksih/QBM/2022/5/1/2970051749396480/2970659656450048/STEM/f1245832-505c-4cde-9bc0-9d7b49137823.png?resizew=163)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eaa3c66636f90177f56e5b4797b1c67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d792a2aa25763e14cc2863be3887000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dbe2cb7541e7b7c5fc556a907ec8060.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1311f32edf13f8caee5edb03f24a7ba.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b757f0c42ae5c9a2d6a4b19e5877b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
(4)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/468d2c5a67f851e52ff132a845a158c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
您最近一年使用:0次
6 . 设平面中所有向量组成集合
,
为
中的一个单位向量,定义
.则下列结论中正确的有___________ (只需填写序号).
①若
、
,则
;
②若
,
,则
;
③若
,
,
,则
有唯一解
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dc64abe49847ade9b78678ba1f8e0e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01ab4307c9909f1eac26b6a235dcce5a.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7a1df960feef63dec4790d63f52279.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d6d538e2f7f05f764e279bd7d8a4a9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8509e22fb1981a8cadcfebec0423c3e.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84351bb40ab6d410389d9ffe89712ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de20046dd30dd69b495bd98542694d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05807c9028ec05f2619107ebb654ead2.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b143cc353e3d07e0706f0a6e248289c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/269b70a69778d23918c580fed8653ee3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd4b296e3fa718e527e40cf53d175610.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dc64abe49847ade9b78678ba1f8e0e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41bc1b7849fd111596d3425dbb5f4d55.png)
您最近一年使用:0次
2022-05-07更新
|
219次组卷
|
2卷引用:北京市第十九中学2021—2022学年高一下学期期中数学试题
解题方法
7 . 在边长为2的等边三角形
中,
是
边上的动点,给出以下三个判断
①![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f49c226f8c890d4309469c5edb9923d5.png)
②
的取值范围为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7242b2ab643f9470da77e29d043b893.png)
③
的取值范围为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1c4830692e13c0efc57cfa7e4a0281c.png)
其中所有正确的判断的序号是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f49c226f8c890d4309469c5edb9923d5.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8bad16b7cdf8c638cd324f5be5d834f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7242b2ab643f9470da77e29d043b893.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41fba24458aafb02351a12cca8ccef77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1c4830692e13c0efc57cfa7e4a0281c.png)
其中所有正确的判断的序号是
您最近一年使用:0次
8 . 在平面直角坐标系中,O为坐标原点,梯形ABCD的四个顶点分别为
,
,
,
,且
.
(1)若
,求点D的坐标;
(2)若
,求点D的坐标;
(3)若点P是平面内任意一点,且
,写出
的最大值.(只需写出结论)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/913f78382630e50543e5f7192cae3ed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9d31cd03879d5c69ff11d0923f1ee82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43c2df1ec4f5d17fa8590e920fac61af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b4e5bf2fc46de6d148602f505614c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e0a957a55460c72673c0f2ee90dbb3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4575a365b8e619654a7327d216f23783.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bd6a2b112facda441f4e34bf5c145fa.png)
(3)若点P是平面内任意一点,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b9603b03810c4b388dba92df72cc08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f0e6d3115e900f1a359ec4f894e8896.png)
您最近一年使用:0次
解题方法
9 . 已知函数
,若圆
与
的图象交于点
,与
的图象交于点
,其中点
都在第一象限内,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bba75ef365e66bac5a501fc2f089ccab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5c9912ba65c2a09c850ad65ed4732b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ebaa32f4f1f4f807ca9aeb7fb29951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6114947179bed8c2c86ac078e2f8497f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e453b6640e3dc4c7b7b2a996a2199ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a99246615a9b9d0cb282cac1dc28e08d.png)
A.![]() | B.1 | C.0 | D.不确定 |
您最近一年使用:0次
10 . 已知函数
,则函数
的图象的对称轴方程为___________ .设直线
是函数
的图象在
轴右侧第一条对称轴,直线
与
的图象交于点
,设函数
的图象在
轴右侧第一、二个对称中心分别为点
、
,点
是函数
的图象上位于
、
之间的动点,则
的取值范围为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af8bedddc7ff1658ae33d8c2ba6a46ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1359894f6488fa9296e253fdd3e3265c.png)
![](https://img.xkw.com/dksih/QBM/2022/4/29/2968800328146944/2970581238751232/STEM/a7748bf6-17ab-4057-b907-f58e274d34fb.png?resizew=190)
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