名校
解题方法
1 . 已知抛物线
的准线与x轴交于点M,过点M的直线l与抛物线交于A、B两点,设
到准线的距离为d.
![](https://img.xkw.com/dksih/QBM/2022/11/17/3111816754003968/3113231226494976/STEM/067f08fbb07f47fb9f0783ed45d6b27c.png?resizew=257)
(1)若
,求抛物线的标准方程;
(2)若
, 求直线l的斜率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://img.xkw.com/dksih/QBM/2022/11/17/3111816754003968/3113231226494976/STEM/067f08fbb07f47fb9f0783ed45d6b27c.png?resizew=257)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/901fffa7b5b0506133e1c2ddeb06b658.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b199fb927e24e4bfba3335a967f81694.png)
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2 . 计算:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed31ae693bc3c034dda06045893c693f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dea2f03e8dc815f81492a4437c996f8.png)
您最近一年使用:0次
2022-08-22更新
|
1691次组卷
|
14卷引用:广东省佛山市南海区南海执信中学2022-2023学年高二上学期开学考试数学试题
广东省佛山市南海区南海执信中学2022-2023学年高二上学期开学考试数学试题苏教版(2019) 必修第二册 一课一练 第9章 平面向量 9.2 向量运算 第3课时 向量的数乘(已下线)第01讲 平面向量的概念及其线性运算 (高频考点—精练)(已下线)6.2.3 向量的数乘运算1-2022-2023学年高一数学《考点·题型·技巧》精讲与精练高分突破系列(人教A版2019必修第二册)(已下线)6.2.3向量的数乘运算(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)(已下线)9.2.2 向量的数乘1陕西省西安市第六中学“名校+”教育联合体2022-2023学年高一下学期第一次考练数学试题(已下线)专题6.4 平面向量的运算(重难点题型检测)-2022-2023学年高一数学举一反三系列(人教A版2019必修第二册)(已下线)6.2.3 向量的数乘运算-高一数学同步精品课堂(人教A版2019必修第二册)(已下线)专题02 平面向量的运算(题型专练)-2《知识解读·题型专练》(人教A版2019必修第二册)(已下线)专题03 向量的数乘(1)-《重难点题型·高分突破》(苏教版2019必修第二册)(已下线)专题9.2 向量的加减及数乘运算-重难点突破及混淆易错规避(苏教版2019必修第二册)(已下线)9.2 向量运算1-【帮课堂】(苏教版2019必修第二册)(已下线)专题03 向量的数乘运算(1)-《重难点题型·高分突破》
名校
解题方法
3 . 在锐角
中,内角
,
,
的对边分别为
,满足
,且
.
(Ⅰ)求角
的大小;
(Ⅱ)若
,且点
满足
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c09b3ca625b739fc967e6c2f1d3d4fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a99bb77a5ec8629e26b0329a8a21db2.png)
(Ⅰ)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a324badf471089bf7d8f6699eb3304f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
您最近一年使用:0次
名校
解题方法
4 . 已知平面上三点A,B,C的坐标依次为
,
,
.
(1)若
为直角三角形,且角A为直角,求实数k的值;
(2)在(1)的条件下,设
,
,若
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed37520eb88c41828ad26f0a2b2de971.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47fa19dde2fb0cc8274390a05a6095cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c00999ca76efc3763c13c6b4260c4498.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
(2)在(1)的条件下,设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e49d2c72a35f1ce4d1d26574934a014.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a303aee4aea8d84cfa947002b0eaeb1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/768434e9275596ec3f60ec46454a16e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbae94f2dd5086f7ddbe18407a978e9b.png)
您最近一年使用:0次
2020-03-03更新
|
729次组卷
|
4卷引用:江西省南昌市第二中学2019-2020学年高二下学期期末考试数学(文)试题
名校
5 . 平面直角坐标系中,
为坐标原点,射线
与
轴正半轴重合,射线
在第一象限,且与
轴正半轴的夹角为
,在
上有点列
,在
上有点
,已知
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/743a804e62f13bfb5f8d2468b8ad34fa.png)
(1)求点
和
的坐标;
(2)求
的坐标;
(3)求
面积的最大值,并求出此时的
值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b62bd9976b37f0e5919155e5a8c50d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98714eea0de264fed373d73bd93d23c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f138be24bfcc4c58bf8b43244315dec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/743a804e62f13bfb5f8d2468b8ad34fa.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b65a3cabd534738ebb98823e5c203c5.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9079438b81a652c5deaf0641d249423a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
6 . 已知抛物线
的方程为
,
上一点
到焦点的距离为
.
(1)求抛物线
的方程及点
的坐标;
(2)过点
的直线
与抛物线
交于点
,与
轴交于点
,设
,
,求证:
是定值..
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/130ef93f860b5e159a1ff5eaf826a53c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e9b5e076078240e0c5ad9763a9824d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5139f4c8fd22f50d4bd029f79209ab4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb7c94eaba718f166f363574397b30c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
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解题方法
7 . 设在平面内给定一个四边形
,
分别为
的中点,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42c2d86d8daea5e652d99fe1c6bc3f9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f758a811b8a2c260431aa7e6a4060987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cabd34cc1dd98500753380a223d5f7c8.png)
您最近一年使用:0次