解题方法
1 . 已知圆锥的高为1,底面直径
,则一蚂蚁从点A沿着侧面爬到点B,爬行距离的最小值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
您最近一年使用:0次
名校
2 . 若把第n个位置上的数记为
,则称
有限个有序放置的数为一个数列A.定义数列A的“伴生数列”B是:
,其中
是这个数列中第n个位置上的数
,2,3,
,k且
,并规定
,
.如果数列A只有四个数,且
依次为2,4,2,3,则其“伴生数列”B是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3282e5fde4ae53fcb1bb072a685304c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79ae6558e11384a40f3a338b73385ee1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/262f1462719358f378982cbea31db65e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a79b9eaa5e7ab7a1e5c512b571914dc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c87b351f16728b0023fd63678f8103c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee7bb49247387a9028602315729f8d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4dce0247ca8aee11cdc8149baf6aabf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de15039797b7480f81c32f0dd2d316ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cdf726dbbd0c77ff86be13d02d8197e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ccd22fd0ca1a8e1468329284f91b6a.png)
您最近一年使用:0次
名校
解题方法
3 . 若一列不全为零的数除了第一个数和最后一个数外,每个数都等于与它相邻的前后两数之和,则称这列数具有“波动性质”.已知一列数共有2025个,第五个数为3,且具有“波动性质”,则这2025个数的和是__________ .
您最近一年使用:0次
名校
4 . 若函数
中自变量x的取值范围为一切实数,则实数
的取值范围是______________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f229fcf8c50fd3bdbd7654e755177ee4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
5 . 直线
经过
,
两点,则不等式
的解集为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c179fe7eff7abfdd092b63c9c1b82d0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7ea6b5f801158380a615c3f99f615e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c214fc7994f26613212cf71418d55bc5.png)
您最近一年使用:0次
6 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94e660c7351bbf1dbb720399822e2a8b.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edbef0d628c9e92564b2ec5062997f34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94e660c7351bbf1dbb720399822e2a8b.png)
您最近一年使用:0次
7 . 边长为100的正方形,作两条平行于一边的直线,再作两条平行于相邻边的直线,将正方形分成9个矩形,若中间矩形面积为100,则四个角上的矩形的面积之和的取值范围是_________ .
您最近一年使用:0次
8 . 在
中,D为边
的中点,E为边
上一点,且
,若
,则
的面积等于__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c32d06c8b6eac019b0498c23bfa5752.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f74632cfc1a161e444040355e7395444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
名校
9 . 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)
您最近一年使用:0次
10 . 在梯形
中,
在边
上,有
,则
取值范围为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61be214b21cef50212cfcc21d5f39700.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4482911565797f7ac8f6ce9afde795d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/464c24c1b5c93ac4bc6752fa1f8e4f9e.png)
您最近一年使用:0次