若有理数
,
满足
,
,且
.
(1)分别求
,
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ab4717e4827480f0f6f4ded85e52eab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a425978da20cebf8c4c63953579e7b35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d94dedd05f92b80925b8fb492dbe9bd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61b8d7fe4453bc7313b6277b2948ac28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b677e3e7f59cefd988d5f014a0082bc3.png)
(1)分别求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ab4717e4827480f0f6f4ded85e52eab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a425978da20cebf8c4c63953579e7b35.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da5bf6d217308806cf85969aafe84a43.png)
更新时间:2022-10-21 09:42:19
|
相似题推荐
解答题-作图题
|
适中
(0.65)
【推荐1】在平面直角坐标系
中描出下列两组点,分别将每组里的点用线段依次连接起来.
第一组:
、
;
第二组:
、
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/21/c07c7cc2-16a1-42a5-b1ff-e0f3b5848b5f.png?resizew=236)
(1)直接写出线段
与线段
的位置关系;
(2)在(1)的条件下,线段
,
分别与y轴交于点B,F.若点M为射线
上一动点(不与点O,B重合).
①当点M在线段
上运动时,连接
、
,补全图形,用等式表示
、
、
之间的数量关系,并证明.
②当
与
面积相等时,求点M的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
第一组:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c058a8ba318315dde9c5a0392944b4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/743c08b3555fca31cd299d6d90242fba.png)
第二组:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0c6a5fd93ae39bae822bc23fcc83cca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/287a2e3eda948a118f2025fe91a67d10.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/21/c07c7cc2-16a1-42a5-b1ff-e0f3b5848b5f.png?resizew=236)
(1)直接写出线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
(2)在(1)的条件下,线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
①当点M在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a424b50eaeafa6f302ffd95476cb86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bab53e0cb6e6ec13764e326b98f26b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5071953255f6434eaefeab7176372564.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e8ad7b0efc0c4fffda06c577d977ca6.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dddb32a7a5c157fdf8aa049b2d665b4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f44ca79d5e12bd02c393ba7f0b31c8c9.png)
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解答题-问答题
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适中
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名校
【推荐2】在一条不完整的数轴上从左到右有点A、B、C,其中点A到点B的距离为4,点C到点B的距离为9,如图所示,设点A、B、C所对应的数的和是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5faee3823a47e311204c271502a3fda7.png)
![](https://img.xkw.com/dksih/QBM/2020/9/29/2560347263066112/2565142229688320/STEM/9eb35c27-7649-4e7d-b459-b80f40c0ed88.png)
(1)若以A为原点,则m=_______;若以B为原点,则
=________.
(2)若原点O在图中数轴上, 且点B到原点O的距离为4, 求
的值.
(3)动点M从点A出发,以每秒2个单位长度的速度向终点C移动,动点N从点B出发,以每秒1个单位长度的速度向终点C移动,t秒后M,N两点间距离是2,则t=______(直接写出答案).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5faee3823a47e311204c271502a3fda7.png)
![](https://img.xkw.com/dksih/QBM/2020/9/29/2560347263066112/2565142229688320/STEM/9eb35c27-7649-4e7d-b459-b80f40c0ed88.png)
(1)若以A为原点,则m=_______;若以B为原点,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若原点O在图中数轴上, 且点B到原点O的距离为4, 求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)动点M从点A出发,以每秒2个单位长度的速度向终点C移动,动点N从点B出发,以每秒1个单位长度的速度向终点C移动,t秒后M,N两点间距离是2,则t=______(直接写出答案).
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(0.65)
名校
【推荐3】观察下列每对数在数轴上的对应点间的距离:3与5,4与
,
与
.并结合数轴与绝对值的知识,利用数形结合思想回答下列各题:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/14/62b8df65-aa4a-4ac6-a041-921bac1303f6.png?resizew=304)
(1)探究归纳:数轴上表示3和5的两点之间的距离是___________;数轴上表示4和
的两点之间的距离是_____________;数轴上表示数
和
的两点之间的距离是_________________.
(2)知识应用:若数轴上的点
表示的数为
,点
表示的数为
.并且
、
两点之间的距离为3,求
的值.
(3)拓展提高:已知,
、
分别为数轴上的两点,
点对应的数为
,
点对应的数为90.点
以3个单位/秒的速度向左运动,同时点
以2个单位/秒的速度向右运动,经过多长的时间
、
两点在数轴上相距40个单位长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d13ce3ebd1112220c639562739f1f9d1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/14/62b8df65-aa4a-4ac6-a041-921bac1303f6.png?resizew=304)
(1)探究归纳:数轴上表示3和5的两点之间的距离是___________;数轴上表示4和
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)知识应用:若数轴上的点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.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/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)拓展提高:已知,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32e22e1223baf7cb3d53e668c2449609.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
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解答题-问答题
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适中
(0.65)
【推荐1】已知|x|=
,|y|=
.
(1)求x+y的值;
(2)若x<0,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c55e4f3eda94bc505f103b10bc1fee7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
(1)求x+y的值;
(2)若x<0,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4e7bf9200b351a259ddfc6c0266129d.png)
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【推荐2】为发展校园足球运动,某县城区四校决定联合购买一批足球运动装备,市场调查发现,甲、乙两商场以同样的价格出售同种品牌的足球队服和足球,已知每套队服30元,每个足球100元,经洽谈,甲商场的优惠方案是:每购买十套队服,送一个足球,乙商场的优惠方案是:若购买队服超过80套,则购买足球打八折.
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(2)在(1)的条件下,若
,到上述哪家商场购买比较合算?
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(2)在(1)的条件下,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eef7b04aec30625a389982954cf186c.png)
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