1 . 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
|
680次组卷
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3卷引用: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)
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)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)
名校
解题方法
2 . 如图,已知
,
,
,直线
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/16/d24df8f1-3e2d-4ea5-ac81-d7b48ced6ead.png?resizew=143)
(1)求直线l经过的定点坐标;
(2)若直线l等分
的面积,求直线l的方程;
(3)若
,点E、F分别在线段BC和AC上,上
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1dbb7313d3364656e5daef5ff5f219f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87baa7770b063bfe7cd8f8fce57d9181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1db6a960cda734e2185a736b7506d8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93b037e6b696e6bbbe3bdfeb540553d9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/16/d24df8f1-3e2d-4ea5-ac81-d7b48ced6ead.png?resizew=143)
(1)求直线l经过的定点坐标;
(2)若直线l等分
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16bf7dae3f8a49fe804fa2deba23b37d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c45ab82dfb318518afeb5df15e48696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5514a14f65f15ecf4078f201403df438.png)
您最近一年使用:0次
2021-11-19更新
|
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4卷引用:第1章 直线与方程 单元综合检测(难点)
(已下线)第1章 直线与方程 单元综合检测(难点)(已下线)附加篇:直线与方程(向量法)上海市徐汇区西南位育中学2019-2020学年高二上学期期中数学试题上海市青浦高级中学2022-2023学年高二上学期9月月考数学试题