20-21高一上·全国·课前预习
1 . 一个正数的绝对值是______ ,一个负数的绝对值是_____ ,0的绝对值是____ .
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20-21高一上·全国·课前预习
2 . 不等式的解:_______ ,解不等式的过程中要不断地使用______ .
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名校
解题方法
3 . 已知
,设
,
,则a____________ b.(填<,≤,≥,>其中一种)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3df11e8e73867030832027ebf06c7f02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa616d0102c7ecc0309a17b4cef3887e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/721a3eaaef842c797dcee7385d53ab8c.png)
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2022-10-19更新
|
225次组卷
|
2卷引用:上海市进才中学2020-2021学年高一上学期10月月考数学试题
解题方法
4 . 已知圆心在
轴正半轴上的一系列相外切的圆的圆心的坐标为
,且满足
,第
个圆的圆心横坐标为
,这
个圆的面积之比为
,记
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a19af21827ffd49c3842e1443244940e.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e684bbf8039dc14ea6a402f3478b3aa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/702de74c38885954ec1fff041b0c2f03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3f933f2a8c0a6a2a2903a071c18c9db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a19af21827ffd49c3842e1443244940e.png)
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名校
5 . 在平面直角坐标系
中,给出如下定义:对于点
,若点
坐标为
,则称点
为点
的“朋友点”.例如,点
的“朋友点”为点
.已知点
的坐标为
,点
的“朋友点”为点
,点
的“朋友点”为点
,点
的“朋友点”为点
,点
的“朋友点”为点
,则点
的坐标是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f5e56e5b067c66d6b3e16ee4e934241.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/990eaf5dbba84f199bdc438da81fcfa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b104090ea2ac34be58a76a4e0e95cb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b104090ea2ac34be58a76a4e0e95cb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df1d9b712b639c8b6809c9f3ae03706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df1d9b712b639c8b6809c9f3ae03706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/349185b5825ece65b7b45d91003a5419.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86a40c26831b1ea4691c405ddffb3db1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4dd0a24e4256bed5828b10a588b29e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4dd0a24e4256bed5828b10a588b29e6.png)
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6 . 已知
,点D在
的延长线上,且
,点E在
上,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fc5225dfcb420741b54f5601df29f2d.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a139ae47caa6e4d4dcfce4f976063e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f213621229843639780aae87fa29584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bff212a15698174e60a7f9aba473cfc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fc5225dfcb420741b54f5601df29f2d.png)
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解题方法
7 . 设点
都在直线
上,过点
作
轴的平行线与曲线
交于点
,设点
的横坐标为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/689ab58dd5a9ba763c75493747932fc4.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a408740f5e4a2a63631d4084fd08b2d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62bb6b1f74b03f2afd51ffb6800df5ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4acefa4e3f5851fce8956128c91140d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15520cf5be7c2685975aac51bc99ac4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15520cf5be7c2685975aac51bc99ac4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3282e5fde4ae53fcb1bb072a685304c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/689ab58dd5a9ba763c75493747932fc4.png)
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8 . 关于函数
有下列四个命题:
①
,使
关于
轴对称.
②
,都有
关于原点对称.
③
,使
在
上为减函数.
④ 若
,
,使
有最大值
.
其中真命题的序号是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f9733edc8f14fa1d21110969b71094c.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd7bb0e38e40abc99b6cf4a0e01b3c51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac4aa0c78840d268cab45b55637edb43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd7bb0e38e40abc99b6cf4a0e01b3c51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4511e8f88fa7a4ebb02e5126b3cfeec.png)
④ 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd7bb0e38e40abc99b6cf4a0e01b3c51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9856b6a4f7333007d6009f85f017bc2a.png)
其中真命题的序号是
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9 . 已知集合
={x|x=a3×30+a2×3﹣1+a1×3﹣2+a0×3﹣3},其中ak∈{0,1,2},k=0,1,2,3,将集合
中的元素从小到大排列得到数列{bn},设{bn}的前n项和为Sn,则b3=_________________ ,S15=_________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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解题方法
10 . 如图的实验装置是由两块互相垂直的正方形木板构成的.已知两个正方形的边长都为
,在正方形
的对角线
上有一滑片
,在正方形
的对角线
上有一滑片
,无论两个滑片如何滑动,始终满足滑片
到点
的距离等于滑片
到点
的距离.则四面体
体积的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dde327febef2331a4766a79b433cc02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e25e3444b32197148084b75af530817c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/20/ea31664a-1973-491c-942b-4bf7e5328853.png?resizew=167)
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