我们规定“
”是一种新的数学运算符号,即
.例如:
.
(1)求
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9ee7bb34f779cc88ea6aea16210e829.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a0714b89da1566cb343b09ac4431eb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/762ebccafebb8035da554859ceb2884f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86d0e8b4ba3817ac67a327f6a5e78cc2.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90d441cfb7735df4d3d6de366805b02.png)
更新时间:2023-11-28 15:28:53
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相似题推荐
解答题-计算题
|
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【推荐1】计算下列各题:
(1)6.4﹣(5.71+0.08)
(2)3.7×0.6+6.3×0.6
(3)8.24+0.35﹣7.37
(4)(4+0.4)×0.25
(1)6.4﹣(5.71+0.08)
(2)3.7×0.6+6.3×0.6
(3)8.24+0.35﹣7.37
(4)(4+0.4)×0.25
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解答题-计算题
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【推荐2】在学习一个数的绝对值过程中,化简
时,可以这样分类:当
时,
;当
时,
;当
时,
,请用这种方法解决下列问题.
(1)当
时,分别求
的值;
(2)已知
是有理数,当
时,试求
的值;
(3)已知
是有理数,当
时,试求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8d40e257f9c446b8e30fa841b74bbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5e3ab57dac25b6c513c950e7b9bb356.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78f40aaecfde1453d0a3422645ed69d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ac9eb4f13a6ec140f7050e8d7dde52c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/653a7d2cba5c557c6fec515533a73999.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ea78a743398802a6ece44c4fc270c84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6572f90a94afd5e226e3be299d529201.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39d5f0d374837655cc286d326305da36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92bd2f40fb389a5d8b20ec143f577f82.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77694c11ba40ec5c2fc4f6a05e31a048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d285fc22266880535e04442eed059bfe.png)
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解答题-计算题
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名校
【推荐3】军军在研究数学问题时遇到一个定义:将三个已经排好顺序数:
,
,
,称为数列
,
,
,计算
,
,
,将这三个数的最小值称为数列
,
,
,的最佳“敏园”值.例如对于数列2,
,3,因为
,
,
,所以数列2,
,3的最佳“敏园”值为
.
进一步发现:当改变这三个数的顺序时,所得到的数列都可以按照上述方法计算其相应的最佳“敏园”值.如数列
,2,3的最佳“敏园”值为
;数列3,
,2的最佳“敏园”值为
;…,经过研究,军军发现,对于“2,
,3”这三个数,按照不同的排列顺序得到的不同数列中,最佳“敏园”值的最小值为
.根据以上材料,回答下列问题:
(1)数列
,3,
的最佳“敏园”值为______.
(2)将“
,3,
”这三个数按照不同的顺序排列,可得到若干个数列,这些数列的最佳“敏园”值的最小值为______,取得最佳“敏园”值最小值的数列为______(写出一个即可);
(3)将2,
,
这三个数按照不同的顺序排列,可得到若干个数列.若这些数列的最佳“敏园”值的最小值为1,求a的值.
![](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/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](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/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/579cdc97242bd6668d0d1d9cbc8fa2f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc45aca1470ae2c303c28f92a78b52a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da7bf8d4e296ca64924546d0caa66583.png)
![](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/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94ded8dc2fbfc3b877be173cd8d45b92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8031bd91f86bd5b0bfcc734a6d2b33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f0ceac4c94ba1127d30a6b3ad2febfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d599cb4a589f90b0205f24c2e1fa021e.png)
进一步发现:当改变这三个数的顺序时,所得到的数列都可以按照上述方法计算其相应的最佳“敏园”值.如数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d599cb4a589f90b0205f24c2e1fa021e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d599cb4a589f90b0205f24c2e1fa021e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
(1)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d13ce3ebd1112220c639562739f1f9d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edbd40e04e2a943051fa83d6e511add.png)
(2)将“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d13ce3ebd1112220c639562739f1f9d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edbd40e04e2a943051fa83d6e511add.png)
(3)将2,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6b9a5f1362c12e1ea8f6fc0d9d787ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ff822bdf4cbadcd182f87f58625b75.png)
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