阅读材料:求
的值.
解:令
①
将等式两边同时乘以2得:
②
将②减去①得:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f57448f377936ef50618fd92515b91f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15e3ae46af3049fcb5c61888ba15dea2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4248b0156d160dd49d5004980d27859b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd1c0b8d985cb77b4713684a6697798.png)
.
即
.
即
.
请你仿照此法计算
(1)
;
(2)
(其中
为正整数);
(3)
(其中
,
为正整数).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54ee59b5b99e91a678d40c26bb60a003.png)
解:令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4be4737a958910add7445093a449e93.png)
将等式两边同时乘以2得:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/675253782e750e709104489e5b42f8ff.png)
将②减去①得:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f57448f377936ef50618fd92515b91f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15e3ae46af3049fcb5c61888ba15dea2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4248b0156d160dd49d5004980d27859b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd1c0b8d985cb77b4713684a6697798.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e10552187f39e8f47baef8b266260646.png)
即
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfd30a70026e5a71bebd1fc5d15c4101.png)
即
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51fd2a535c01d086d297a53d08452b01.png)
请你仿照此法计算
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa2900f4cd05533dd48fd4deded6bdb.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/499a83036561614b27f94876da0e539a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8853e8ac57e8002c8555e8e0512877e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
更新时间:2020-01-09 19:25:18
|
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解答题-计算题
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名校
【推荐1】计算题:
(1)
;(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b8385ef363a9d10ea59efc636e90e7.png)
(3)
;(4)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8be043dd437dee6fb1e24a8541dbbd72.png)
(5)
;(6)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a045606bfee7ad55e9fdd379a2724c6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b8385ef363a9d10ea59efc636e90e7.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49928b8e1a5356fff59a18ff72da30f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8be043dd437dee6fb1e24a8541dbbd72.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94692a575bd872f65bcf333c3fd053f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee3fc3dda724b43e14a94f0baa4a50b7.png)
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解答题-问答题
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适中
(0.65)
【推荐1】观察下列按一定规律排列的三行数:
第一行:
,9,
,81,…;
第二行:
,6,
,78,…;
第三行:2,
,26,
,….
解答下列问题:
(1)每一行的第5个数分别是_______,_________,___________;
(2)第一行中的某三个相邻数的和为
,试求这三个数;
(3)取每行数的第
个数,记其和为
,直接写出这三个数中最大的数与最小的数的差(用含
的式子表示).
第一行:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49cd48b9f4a2d6fdc3fa433d920b48a3.png)
第二行:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01317332a203c898536b1d0459f51d23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f86b86a6ccdf2c077d195db7bc380ea.png)
第三行:2,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32e22e1223baf7cb3d53e668c2449609.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fecf7083c9dca4d31405a8f791add3a9.png)
解答下列问题:
(1)每一行的第5个数分别是_______,_________,___________;
(2)第一行中的某三个相邻数的和为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45224db8a74a39036fba0ee17cfa51d2.png)
(3)取每行数的第
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐2】若两个有理数的和等于这两个有理数的积,则称这两个有理数互为“相依数”.例如:有理数
与3,因为
,所以有理数
与3互为“相依数”.
(1)请你判断有理数
与
是否互为“相依数”;
(2)对有理数
进行如下操作:取
的“相依数”,得到
;取
的倒数,得到
;取
的“相依数”,得到
:取
的倒数,得到
;依次按如上的操作得到一组数
,
.若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d32cd1709ea2f4369b75cca27b0eb60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
(1)请你判断有理数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
(2)对有理数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8189d242986b3522b88cc74e203fef75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](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/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a887067ad8dbec36da84cdf68ac0852c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8943b7196aca739e5aa14b894f781460.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c712829d60b4ea93966a5c68c24d677.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22ebfa766c46ed056803d9b39dab134a.png)
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