【问题背景】
定义一种新运算“*”:其运算结果的符号同号取正,异号取负,数值为其绝对值相加的和,0与图任何数进行“*”的运算都得这个数的绝对值.例如:
,
;
,
;
,
;
…
【问题再现】(1)计算:
;
【拓展提升】(2)计算:
.
定义一种新运算“*”:其运算结果的符号同号取正,异号取负,数值为其绝对值相加的和,0与图任何数进行“*”的运算都得这个数的绝对值.例如:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e435d2378801566be6bc77237a874c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad9ea13776f24de8ad391587b040f994.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aea628027f397d05fed6aa6018c22bb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/522cd60fbb1ee742660a9ff3d75c9a76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1662a880d0f835a8edeff70643bdfaec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb7b4cd34fbe71199125d7f19e6d8f67.png)
…
【问题再现】(1)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98c4842b0e2ae37540c813bd86b68c8f.png)
【拓展提升】(2)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe1991882de94babe5e3d1a8c06137d5.png)
23-24七年级上·陕西西安·期中 查看更多[2]
陕西省西安市临潼区2023-2024学年七年级上学期期中数学试题(已下线)清单05 整式化简求值的十大经典题型 (10种题型解读(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:2023-12-14 12:08:13
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解答题-计算题
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【推荐1】已知
,
互为相反数,
,
互为倒数,
的绝对值是
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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【推荐2】某天一个巡警骑摩托车在一条南北大道上巡逻,他从岗亭出发,巡逻了一段时间停留在A处,规定以岗亭为原点,向北方向为正,这段时间行驶纪录如下(单位:千米):+10,-9,+7,-15,+6,-14,+4,-2
(1)A在岗亭哪个方向?距岗亭多远?
(2)若摩托车行驶10千米耗油0.5升,从岗亭到A处共耗油多少升?
(1)A在岗亭哪个方向?距岗亭多远?
(2)若摩托车行驶10千米耗油0.5升,从岗亭到A处共耗油多少升?
您最近一年使用:0次
解答题-计算题
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较易
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【推荐1】已知
,
.
(1)化简:
;
(2)已知
与
互为相反数,求C;
(3)当
,
时,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef6aad4743df5c2f96eec9d6e3a08964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32de1a9b6ee9ac9ec818600183e417fa.png)
(1)化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2efbf9689cca27cce260df78d76415ae.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2efbf9689cca27cce260df78d76415ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b39c069eeaca400b5263dad882129c1c.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c50866229ec5a3640fb250f9bd2192b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2efbf9689cca27cce260df78d76415ae.png)
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