名校
解题方法
1 . 已知向量
是平面
内的一组基底,O为
内的一定点,对于
内任意点P,当
时,则称有序实数对(x,y)为点P的广义坐标,若点A、B的广义坐标分别为
,有以下四个命题:
①线段AB中点的广义坐标为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acff11b6435ec1ad0235698bb26ea42c.png)
②A,B两点间的距离为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cb1121d4ae42fb87bbb32f7abe00ba6.png)
③向量
平行于向量
的充要条件是:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab138a74db444886abc7fe18947f7a3e.png)
④向量
垂直于向量
的的充要条件是:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be20cbd45a5e80a84ff5a8def10fea8.png)
其中正确命题为___________ (填写序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaccfa28fcd8b60194990aca32418470.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/136c47557900b15777a0631268b78571.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b6037359d2727b05ee33db9e2c36226.png)
①线段AB中点的广义坐标为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acff11b6435ec1ad0235698bb26ea42c.png)
②A,B两点间的距离为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cb1121d4ae42fb87bbb32f7abe00ba6.png)
③向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae7bb088a7ce88fee183bc8d92810743.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbc6465a6ce969457d897df59b23c655.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab138a74db444886abc7fe18947f7a3e.png)
④向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae7bb088a7ce88fee183bc8d92810743.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbc6465a6ce969457d897df59b23c655.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be20cbd45a5e80a84ff5a8def10fea8.png)
其中正确命题为
您最近一年使用:0次
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8卷引用:【区级联考】上海市松江区2019届高三上学期期末质量监控数学试题
【区级联考】上海市松江区2019届高三上学期期末质量监控数学试题(已下线)2020届北京四中高三第二学期开学考试数学试题(已下线)专题12 平面向量-2020年高考数学母题题源解密(北京专版)海南省华侨中学2020-2021学年高一下学期期末数学试题江西省万安中学2021-2022学年高二上学期开学考试数学(理)试题上海市向明中学2021-2022学年高一下学期期末数学试题上海市华东师范大学周浦中学2022-2023学年高一下学期期末数学试题(已下线)压轴题平面向量与解三角形新定义题(九省联考第19题模式)练
2 . 以下各说法中:
①若等比数列
的前
项和为
,
,则实数
=-1;
②若两非零向量
,若
,则
的夹角为锐角;
③在锐角△ABC中,若
,则
,
④已知数列
的通项
,其前
项和为
,则使
最小的
值为5
其中正确说法的有________ (填写所有正确的序号)
①若等比数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97b794ed9de8e93de6e067c3d0259558.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a70b95c53fb6655721e2a8c61f5c2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
②若两非零向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbc0945b4e1962e66f6f7e7f6af235d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
③在锐角△ABC中,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baa8d75a6638e08eedbff8662267da6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b56c0452faa9377574227c3df2b4c46.png)
④已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67c4593f37ce523cfa8fb5c102240319.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
其中正确说法的有
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2019-05-23更新
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2卷引用:【校级联考】四川省乐山十校2018-2019学年高一下学期半期联考数学试题
名校
3 . 设函数
,其中向量
,
,
.
![](https://img.xkw.com/dksih/QBM/2017/5/4/1679694518517760/1679902798340096/STEM/cc9eba7ea25944339c0a3dad598b7417.png?resizew=237)
(Ⅰ)若函数
,且
,求
;
(Ⅱ)求函数
的单调增区间,并在给出的坐标系中画出
在
上的图象.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9b2be07669f71882ef4307b9c929c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ad5ec89d9827e098beb2e4a1bca9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f2d1af23a7520b6608c68e367ecd2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://img.xkw.com/dksih/QBM/2017/5/4/1679694518517760/1679902798340096/STEM/cc9eba7ea25944339c0a3dad598b7417.png?resizew=237)
(Ⅰ)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc3058518a957bfe8b4d6b808ba83b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c7f70ee02ac98728c441d747f444de4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(Ⅱ)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a53496ae2397150370142b5195a1a39c.png)
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3卷引用:甘肃省肃南县第一中学2016-2017学年高一4月月考数学试题