已知点A、B在数轴上分别表示a、b.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/18/f23783e4-809b-435f-9709-f4c53d647ce3.png?resizew=352)
(1)对照数轴填写下表:
(2)若A、B两点间的距离记为d,问:d和a、b有何数量关系?
(3)在数轴上标出所有符合条件的整数点,使它到3和﹣3的距离之和为6,并求所有这些整数的和;
(4)若点C表示的数为x,当点C在什么位置时,|x﹣1|+|x+3|取得的值最小?最小值为多少?
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/18/f23783e4-809b-435f-9709-f4c53d647ce3.png?resizew=352)
(1)对照数轴填写下表:
a | 6 | ﹣6 | ﹣6 | ﹣6 | 2 | ﹣1.5 |
b | 4 | 0 | 4 | ﹣4 | ﹣10 | ﹣1.5 |
A、B两点的距离 | ______ | ______ | ______ | ______ | ______ | ______ |
(3)在数轴上标出所有符合条件的整数点,使它到3和﹣3的距离之和为6,并求所有这些整数的和;
(4)若点C表示的数为x,当点C在什么位置时,|x﹣1|+|x+3|取得的值最小?最小值为多少?
2022七年级·江苏·专题练习 查看更多[2]
(已下线)【暑期衔接】专题06《有理数的加法》知识讲练(精编讲义)-2022年暑假小升初数学衔接(苏科版)(已下线)第一次月考押题培优02卷(考试范围:1.1-2.7)-【微专题】2022-2023学年七年级数学上册常考点微专题提分精练(浙教版)
更新时间:2022-07-16 16:14:30
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【推荐1】在数轴上表示下列各数,并将它们按从小到大的顺序排列(用“<”连接)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59d25d8481ff44d0de015da0ad657cb1.png)
从小到大排列:______.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59d25d8481ff44d0de015da0ad657cb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/2/f49aae62-ea2c-48f1-9b98-8eabed0d6557.png?resizew=388)
从小到大排列:______.
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【推荐2】把下列各数分别表示在数轴上,并用“<”号把它们连接起来.
﹣0.5,0,﹣|﹣
|,﹣(﹣3),2.
﹣0.5,0,﹣|﹣
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
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【推荐1】如图:在数轴上
点表示数
,
点表示数
,
点表示数
,
是最小的正整数,且
、
满足
.
![](https://img.xkw.com/dksih/QBM/2021/11/19/2854684653182976/2856210984337408/STEM/19f15af4-51c0-41f8-bd03-2c5864ec2de0.png)
(1)
______,
______,
______;
(2)若将数轴折叠,使得
点与
点重合,则点
与数______表示的点重合;
(3)点
、
、
开始在数轴上运动,若点
以每秒1个单位长度的速度向左运动,同时,点
和点
分别以每秒2个单位长度和4个单位长度的速度向右运动,若点
与点
之间的距离表示为
,点
与点
之间的距离表示为
,点
与点
之间的距离表示为
.
①当运动时间为2秒时,
______,
______.
②当运动时间为
秒时,则
______,
______(用含
的代数式表示)
(4)请问:
的值是否随着时间
的变化而改变?若变化,请说明理由;若不变,请求其值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
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![](https://img.xkw.com/dksih/QBM/2021/11/19/2854684653182976/2856210984337408/STEM/19f15af4-51c0-41f8-bd03-2c5864ec2de0.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e9bb42376c12d7d21702ae8062b25a.png)
(2)若将数轴折叠,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(3)点
![](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)
![](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)
![](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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
①当运动时间为2秒时,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae248960d8c1677cf948f8251275e863.png)
②当运动时间为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae248960d8c1677cf948f8251275e863.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(4)请问:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/596bdf4c7b785e6a48112831f2813bb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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【推荐2】阅读材料:因为
,所以
的几何意义可解释为数轴上表示数
的点与表示数
的点之间的距离.这个结论可推广为:
的几何意义是数轴上表示数
的点与表示数
的点之间的距离.根据上述材料,解答下列问题:
(1)等式
的几何意义是什么?这里
的值是多少?
(2)等式
的几何意义是什么?这里
的值是多少?
(3)式子
的几何意义是什么?这个式子的最小值是多少?
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
(1)等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/342e44ab6b4cb9a16afa2804fad04d21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78d700c56af63ebe053b6637bfb9830c.png)
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(3)式子
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【推荐1】已知|x|=3,
,且xy<0,求x+y的值.
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【推荐1】在数轴上用点A、B、C分别表示有理数a、b、c如图所示:
![](https://img.xkw.com/dksih/QBM/2021/11/10/2848357968560128/2928852486504448/STEM/dee28d34-0acd-4cb1-8381-af20cfbc8ed1.png?resizew=276)
(1)判断正负,用“>”或“<”填空:
______0;
______0;
______0;
______0.
(2)化简
的值.
![](https://img.xkw.com/dksih/QBM/2021/11/10/2848357968560128/2928852486504448/STEM/dee28d34-0acd-4cb1-8381-af20cfbc8ed1.png?resizew=276)
(1)判断正负,用“>”或“<”填空:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea712984ea5017140e20bee226fd5af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ae24688d4c45aad43e9af0b7bbfda6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13502d46b8563c54c09b29b20b3006a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980ab4deb9e7f2bc9288787f5243a4d2.png)
(2)化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58ca804531996fb2a8736d688f142574.png)
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