计算:
(1)
;
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b133b383e21a412fbd16a334e3a1193.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae3bfef91d1e60f4ada63a0bed68bb7.png)
更新时间:2020-08-19 10:44:30
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相似题推荐
解答题-问答题
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【推荐1】一般地,数轴上表示数
和数
的两点之间的距离为
,例如:数轴上表示数1和数2的两点之间的距离为
,表示数-1和数2的两点之间的距离为
.根据以上材料,结合数轴与绝对值的知识回答下列问题:
(1)若数轴上表示数
的点位于5与1之间,则
__________;若数轴上表示数
的点位于5右侧,则
__________;依照上述方法,可以探索出
的最大值是___________.
(2)Fibonacci发现数轴上有这样一组数:
,
,
,…,
,
,
(
,且
,
与
均为正整数),同时依照(1)中方法,探索出
为
的最大值,现以这组数中的各个数作为正方形的边长构造正方形如下,再分别依次从左到右取2个,3个,4个,5个,…正方形拼成如下长方形,并记为①,②,③,④,…,相应长方形的周长如下表所示.
![](https://img.xkw.com/dksih/QBM/2021/11/3/2843240594915328/2846129972486144/STEM/4fcdf6f3-1f42-4463-afb7-070ad21618e9.png)
仔细观察图形,上表中的
__________,
__________,用含
、
的代数式表示
为__________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6abf3f9b0ebcdc47a028c781b7edb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d65d373c15dbeaa4081c771466f430b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cfdedf8e0b2bcbc87ad7b25c38563a8.png)
(1)若数轴上表示数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98953f0da152705c4c081d9abe1ee561.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/210d5f595cd4261a7ec76f4cfa18dee9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45395af371bb8cec7beff9f934b22b64.png)
(2)Fibonacci发现数轴上有这样一组数:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bed25da42194b5a81d123933d5704f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7230de53663c75658c58bbf206a0085.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d98cdd9d1789b1b8da04f849cd99a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7230de53663c75658c58bbf206a0085.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4d91a288f31bee8a05772928f25f605.png)
![](https://img.xkw.com/dksih/QBM/2021/11/3/2843240594915328/2846129972486144/STEM/4fcdf6f3-1f42-4463-afb7-070ad21618e9.png)
图形 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | … | ||||
周长 | 16 | 26 | … |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e9bb42376c12d7d21702ae8062b25a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ce2b47812fce4b17fd813d0e4cce21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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【推荐2】已知
和
互为相反数,
的绝对值是
是最大的负整数.
(1)求
的值;
(2)若
,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/4f296eb86b310c3f0f815fd1e08763d0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c21630b4bb4619dcf07a5e0f02b331fa.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/477d338e09541145513071a191bd2ce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/264e265717d2ceb07ff1ea0ae72560c1.png)
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解答题-问答题
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【推荐2】把下列各有理数填在相应的大括号里:
,
,
,0,
,
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0415147b2dc37f0580c2e64df1f4c337.png)
(1)负分数集合:{________________________…};
(2)非负数集合:{________________________…}.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edbd40e04e2a943051fa83d6e511add.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/408c60107e51234c26bd5560d08472e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eecd9a4a1d9ac8f906a136133fd9bd37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e5db9fa0bc36e2308bd3eecd5e78351.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0415147b2dc37f0580c2e64df1f4c337.png)
(1)负分数集合:{________________________…};
(2)非负数集合:{________________________…}.
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【推荐1】小明学习了“第八章 幂的运算”后做这样一道题:若
,求x的值.你能帮助小明解决这个问题吗?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c839d505c70ad4dc5b745749b1c976e9.png)
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【推荐2】【规律探究题】观察下列运算:
①由
,得
;
②由
,得
;
……
问题:
(1)
______;
______;
(2)利用(1)中发现的规律计算:
.
①由
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c35e58eaf847601c875f4597e910b5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f46d2748c9411018b3bb2134cbd662.png)
②由
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f559ffccc3e093af2d645332509a1326.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca84e2db65efe3647aba894f55071678.png)
……
问题:
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8eeda72ad32a46ee0b5b5582e7fee5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cef1f04f3a901c2e463333eb30efb50.png)
(2)利用(1)中发现的规律计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbb18b9fd3e555b8516bd448f3ae89aa.png)
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