同学们都知道,
表示5与2之差的绝对值,
也可以利用数轴理解为数轴上5与2这两个数所对的两点之间的距离,如图(1)所示.试回答:
(1)
______,这个算式利用数轴可理解为______;
(2)求使
成立的所有整数;
(3)如图(2),在笔直的公路一侧有A,B,C,D四个村庄,且
,现要在公路上开一家超市,使各村庄到超市的距离之和最小,则超市的位置应在哪两个村庄之间?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d9f22e0bb3333b34e25dc044351e7f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d9f22e0bb3333b34e25dc044351e7f3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/27/cae37167-7db2-424b-8baf-c0baba80e7fa.jpg?resizew=368)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b15c29a48815a1f146e4e1dd49a2142c.png)
(2)求使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49a832713f6239d94b3b984ec1e3df7.png)
(3)如图(2),在笔直的公路一侧有A,B,C,D四个村庄,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ce072bcd423b56c827e40f0b731de85.png)
23-24七年级上·安徽宣城·阶段练习 查看更多[2]
安徽省宣城市宁国市城区三校2023-2024学年七年级上学期第一次月考数学试题(已下线)清单01 数轴、相反数、绝对值(3个考点梳理+16种题型解读(共45题))-2023-2024学年七年级数学上学期期末考点大串讲(苏科版)
更新时间:2023-10-25 23:00:03
|
相似题推荐
解答题-计算题
|
适中
(0.65)
【推荐1】规定 两个有理数
,若满足
,则称
是
的“思念数”.
判断 下列表中各数对,是否满足第二个数是第一个数的“思念数”,满足的在相应位置打“√”,不满足的打“×”.
应用 有理数
的“思念数”是
,求
的值;
有理数
满足
,求
的“思念数”.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2feac7a3eaffd79d927bad4a572b5173.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
判断 下列表中各数对,是否满足第二个数是第一个数的“思念数”,满足的在相应位置打“√”,不满足的打“×”.
数对 | 5和1 |
|
|
是不是“思念数” |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edbd40e04e2a943051fa83d6e511add.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
有理数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfc3a73eea58b9b5568875769833fd6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐2】某水泥仓库一周7天内进出水泥的吨数如下(“+”表示进库,“-”表示出库)
、
、
、
、
、
、
、
(1)经过这7天,仓库里的水泥是增多还是减少了?增多或减少了多少吨?
(2)经过这7天,仓库管理员结算发现库里还存200吨水泥,那么7天前,仓库里存有水泥多少吨?
(3)如果进仓库的水泥装卸费是每吨
元,出仓库的水泥装卸费是每吨
元,求这7天要付多少元装卸费?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f86b86a6ccdf2c077d195db7bc380ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2523b8afb2adfb4f930b44b0b1eeb61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f86b86a6ccdf2c077d195db7bc380ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4efd8065fcdf15ae2b6bbd003083789.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2671ff440b9cdd3614f941c566287ff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec54f53122364c46e1e43d1a84f210fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91498d22fa9e1bae4ee8399259d9cfd3.png)
(1)经过这7天,仓库里的水泥是增多还是减少了?增多或减少了多少吨?
(2)经过这7天,仓库管理员结算发现库里还存200吨水泥,那么7天前,仓库里存有水泥多少吨?
(3)如果进仓库的水泥装卸费是每吨
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐1】数轴上点
,
分别表示有理数
,
,这两点之间的距离记为
,即
,利用数形结合思想回答下列问题:
(1)表示
和
的两点之间的距离为______ ,表示
和
的两点之间的距离为______ ;
(2)表示
和
的两点之间的距离为______ ;
用含有
的式子表示![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
(3)若
表示一个有理数,且
,则
______ ;
(4)若
为整数,且
,借助数轴直接写出满足条件所有
的和是______ .
![](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/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2afd4acb164aad6d5a73989f5412730b.png)
(1)表示
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
(2)表示
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edbd40e04e2a943051fa83d6e511add.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d147e2c21bece631152866d9e14a9f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ae366064a76085c966d25c26c6db8ee.png)
(4)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee2a8b0ce3be75383e3611930e569288.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐1】阅读材料
的几何意义是数轴上表示
的点与表示
的点之间的距离.例如:
可以看着数轴上表示数2的点与表示数1的距离,所以
.
尝试应用
(1)
的几何意义是表示
的点与表示______的点之间的距离;
(2)观察数轴,若
,则
的值可以是______;
![](https://img.xkw.com/dksih/QBM/2020/12/22/2619773061701632/2622527695118336/STEM/53fce249-8a83-445f-8b2b-5b8bb58e1042.png?resizew=260)
拓展延伸
(3)求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae9dd56551121a5b88be4dc6910c9ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34daf1b4c14eb77d41bd3624623f3a5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d65d373c15dbeaa4081c771466f430b.png)
尝试应用
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b90f5a50cabc6cad1b36bf25fc6d37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)观察数轴,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bd3a1038730000492b33d729db342d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/2020/12/22/2619773061701632/2622527695118336/STEM/53fce249-8a83-445f-8b2b-5b8bb58e1042.png?resizew=260)
拓展延伸
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbec66bae5c8bf9fe977137f19399fef.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
名校
【推荐2】已知a<0,ab<0,且│a│>│b│,试在数轴上简略地表示出a,b,-a与-b的位置,并用“<”号将它们连接起来
您最近一年使用:0次