计算
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96aec691f7db2ebb69211d8c0a53f877.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2548c724db36acfa982dcce97162db6e.png)
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6171cea927432b2bf13abca268fc6494.png)
(4)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c151aaedcfc4d323665d7b1f2825d1e4.png)
(5)先化简,再求值:
,其中
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96aec691f7db2ebb69211d8c0a53f877.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2548c724db36acfa982dcce97162db6e.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6171cea927432b2bf13abca268fc6494.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c151aaedcfc4d323665d7b1f2825d1e4.png)
(5)先化简,再求值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f76409709248aa3d0ba834cc933c7eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02da5184c6ff715abb397639a7ead539.png)
更新时间:2023-01-18 12:12:29
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相似题推荐
解答题-计算题
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适中
(0.65)
【推荐1】计算:
(1)(-8)+10+2+(-1)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52ee6de82dd6ee02c93624d049dabcfe.png)
(3)
(1)(-8)+10+2+(-1)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52ee6de82dd6ee02c93624d049dabcfe.png)
(3)
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解答题-问答题
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【推荐1】从边长为
的正方形中剪掉一个边长为
的正方形(如图1),然后将剩余部分拼成一个长方形(如图2).
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/22/404928cc-cc0e-435e-9b77-be2c34805ae0.png?resizew=304)
(1)通过表示阴影部分面积,可得数学等式为___________.
(2)已知
,
,则
的值为_________.
(3)应用(1)得到的数学等式进行简便运算:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/22/404928cc-cc0e-435e-9b77-be2c34805ae0.png?resizew=304)
(1)通过表示阴影部分面积,可得数学等式为___________.
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afc5b4b51b74721f0c9392b84a20a6b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20b8d3564d7ae5687f69b64b150c4b35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c03653160873dab28d7dffd6e7997b95.png)
(3)应用(1)得到的数学等式进行简便运算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee36ced80b23dfdb92dfbca5205f3e31.png)
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【推荐2】已知
、
互为相反数,
、
互为倒数,且
.试求:
的值
![](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/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01857fe250c131bf09a43f2bced0c632.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9349da1ac58645614e8cd7466449dc2.png)
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解题方法
【推荐3】定义:求若干个相同的有理数(均不等于0)的除法运算叫做除方,如
等.类比有理数的乘方,我们把
记作
,读作“2的下3次方”,一般地,把
个
相除记作
,读作“
的下
次方”.
理解:
(1)直接写出计算结果:
_______.
(2)关于除方,下列说法正确的有_______(把正确的序号都填上);
①![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f966272f7781790ff27e40db6b525253.png)
;
②对于任何正整数
,
;
③
;
④负数的下奇数次方结果是负数,负数的下偶数次方结果是正数.
应用:
(3)我们知道,有理数的减法运算可以转化为加法运算,除法运算可以转化为乘法运算,有理数的除方运算如何转化为乘方运算呢?
例如:
(幂的形式)
试一试:将下列除方运算直接写成幂的形式:
_______;
________;
(4)计算:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fbfa18465de74e7a3a414704f38ba39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fbfa18465de74e7a3a414704f38ba39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/826bf6b788af19032ff565d6573967ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a12ea6f9d2bbcc5a3d7980dbe79922d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
理解:
(1)直接写出计算结果:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc6656e2e181ffdca58f14f5c467cc5e.png)
(2)关于除方,下列说法正确的有_______(把正确的序号都填上);
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f966272f7781790ff27e40db6b525253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f2b5ee1eabb64358a3d9db2349b6fce.png)
②对于任何正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e636ea5fbe8e9001e3e5fdd9fb985a77.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ba4d621d46645730bbb8dc2ce2b7fe3.png)
④负数的下奇数次方结果是负数,负数的下偶数次方结果是正数.
应用:
(3)我们知道,有理数的减法运算可以转化为加法运算,除法运算可以转化为乘法运算,有理数的除方运算如何转化为乘方运算呢?
例如:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e99ddbd980d2be25d8daff4f28c8297.png)
试一试:将下列除方运算直接写成幂的形式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36dadf3c862ce6eb83322da2f09d24fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffae0c0cdd4ea271f52aff9238f64ba5.png)
(4)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4608f4efa256813966adae5b95c45587.png)
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【推荐1】计算.
(1)5(2x-7y)-3(4x-10y); (2) (5a-3b)-3(a2-2b);
(3)3(3a2-2ab)-2(4a2-ab) (4) 2x-[2(x+3y)-3(x-2y)]
您最近一年使用:0次