名校
1 . 已知向量
,
.
(1)如果
,_________,求
的值;
(在①
和②
两个条件中选择一个条件填入横线,并对其求解,如果多选则按第一个解答计分)
(2)设函数
,求
图像的对称中心坐标,并说明将
的图像经过怎样的平移,可以得到一个奇函数的图像?(写出一种方法即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/264954b73b8a66b83bba29edb20c2b60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0319db67bfdab80c9f50714a592ab79.png)
(1)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76ba5364e3f7c58e9c5c0e77a7bddd92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/559c326cd070deea4c051a1d7065fe8f.png)
(在①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f379c8897103e4f3337af0bacab0f571.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4fd0e2aae7ba708886c5a4149d6fd31.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49c018b715f455560093097ec2961aca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2 . 云南某小区抽取年龄在2-22岁100人做核酸检测由于工作人员不小心画出直方图后把原始数据丢失
(2)一般地,一组数据的第p百分位数是这样一个值,它使得这组数据中至少有p%的数据小于或等于这个值,且至少有
的数据大于或等于这个值.试估计此样本数据的第50百分位数.
(3)用分层抽样的方式从第一组(年龄在2-6岁)和第五组(年龄在18-22岁)中一共抽取5人再从5人中任选2人求两人的年龄差不超过4岁的概率.
(2)一般地,一组数据的第p百分位数是这样一个值,它使得这组数据中至少有p%的数据小于或等于这个值,且至少有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e2efbb2294a63cf7ea8bc7f0adfefba.png)
(3)用分层抽样的方式从第一组(年龄在2-6岁)和第五组(年龄在18-22岁)中一共抽取5人再从5人中任选2人求两人的年龄差不超过4岁的概率.
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21-22高二·全国·课后作业
3 . 已知直线
(其中
,
不全为0).
(1)写出直线
的一个法向量的坐标;
(2)若直线
经过原点,则
,
,
满足的条件是什么?
(3)若直线
与
轴平行或重合,则
,
,
满足的条件是什么?
(4)若直线
与
轴和
轴都相交且不经过原点,则
,
,
满足的条件是什么?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3783208484c038053c9585a1040223a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)写出直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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)
(3)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.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)
(4)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.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)
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