1 . 已知直线
过点
且斜率为
,
与椭圆
交于两点
、
,
为坐标原点.
(1)用
表示
的面积;
(2)若
面积等于1,求斜率
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ca0313b09165aaf0c59d7aa431c6f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27e4397b76638266f40e7b589b46d13.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/1dde8112e8eb968fd042418dd632759e.png)
(1)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2 . 经过
两点的直线的斜率是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b54bc8df57f58dd61bf890817105d75.png)
A.1 | B.![]() | C.![]() | D.![]() |
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2022-01-03更新
|
641次组卷
|
7卷引用:北京市日坛中学2021-2022学年高二上学期期中考试数学试题
解题方法
3 . 曲线
及其点
处的切线
如图所示,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/842d21e7c0aeaca92bf24e8a4d2f4ee1.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1caa0b01c3a70acf3e587a36cb53747.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/842d21e7c0aeaca92bf24e8a4d2f4ee1.png)
![](https://img.xkw.com/dksih/QBM/2021/12/29/2883193605865472/2883224933629952/STEM/05760a2aa3884ebeae2087db307cbc18.png?resizew=167)
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解题方法
4 . 已知直线
:
和点
,
,若l与线段
相交,则实数a的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1960b6a059f976fed29a86e8ec38595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4754fbe523ca63eba3810a3f88f37df3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5161e01d3ad048335d5eb3aef1ad0375.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
A.![]() | B.![]() ![]() | C.![]() | D.![]() ![]() |
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2021-11-29更新
|
1100次组卷
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6卷引用:北京市景山学校2021-2022学年高二上学期期中考试数学试题
5 . 三名同学相约在暑期进行了社会实践活动,同去某工厂加工同一种产品,他们在一天中的工作情况如图所示,其中
的横、纵坐标分别为第
名同学上午的工作时间和加工的零件数,点
的横、纵坐标分别为第
名同学下午的工作时间和加工的零件数,
,记
为第
名同学在这一天平均每小时加工的产品个数,则
中最大的( )
![](https://img.xkw.com/dksih/QBM/2021/11/24/2858207179153408/2859808808886272/STEM/1bef405ba9b648afbe2dc2a7451a867d.png?resizew=439)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e819b87f90651d89fcd258c276294e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdc5c895153932c3e827a464664cef90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79059a3366ed1b339ba1317ce8a1e7f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb5c607987b73502db63f77c9799f4bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9bf0198e73b44944ce7a45411899f49.png)
![](https://img.xkw.com/dksih/QBM/2021/11/24/2858207179153408/2859808808886272/STEM/1bef405ba9b648afbe2dc2a7451a867d.png?resizew=439)
A.![]() | B.![]() | C.![]() | D.不能确定 |
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解题方法
6 . 如图,在平行四边形
中,已知点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9528f9b8db429b42ad8a1924b72c9bd3.png)
![](https://img.xkw.com/dksih/QBM/2021/11/24/2858207179153408/2859808809033728/STEM/fda9917a-bf6a-489d-8523-af30bd7f9e58.png?resizew=238)
(1)求
所在直线的方程
(2)过点
作
于点
,求线段
的长度
(3)设线段
的中点为
,则点
的坐标为 (注:不要求推理过程,直接写坐标即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9528f9b8db429b42ad8a1924b72c9bd3.png)
![](https://img.xkw.com/dksih/QBM/2021/11/24/2858207179153408/2859808809033728/STEM/fda9917a-bf6a-489d-8523-af30bd7f9e58.png?resizew=238)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](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)
(3)设线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
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解题方法
7 . 已知点
,且
,写出直线AB的一个方程____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53df27e3274a5f1ecdb24fb5cd0282c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae5a64bcb77f5f64e4af6930c249a270.png)
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8 . 已知点
,若直线
的斜率为1,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64673ad70f58bc97205c59bb4fa718f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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9 . 已知函数
,则函数
的值域是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38439bd064ca93d13cf48c1053704be5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2021-11-19更新
|
485次组卷
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3卷引用:北京市通州区2022届高三上学期期中数学质量检测试题
21-22高二上·北京西城·期中
名校
解题方法
10 . 已知点
,
,则过点Q且与OP(O是坐标原点)平行的直线方程是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2719ce8a1c0aaa60da102db5712d63e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/451fc6e4248b63e70595f23842f06c93.png)
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2021-11-19更新
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3卷引用:北京市第四中学2021-2022学年高二上学期期中考试数学试题
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