题目内容
(本小题满分12分)
如图是某月的日历:

(1)设由6个数形成的阴影方框中,最大的数为
,这6个数的和为
,请你用含
的代数式表示
;
(2)现想框出6个数的和为111,你能办得到吗?若能,请求出这六个数,若不能,请说明理由.
如图是某月的日历:

(1)设由6个数形成的阴影方框中,最大的数为




(2)现想框出6个数的和为111,你能办得到吗?若能,请求出这六个数,若不能,请说明理由.
(1)y=6x-27
(2)这六个数分别是23,22,21,16,15,14
解:(1)设最大的数为
,则其余的五个数分别为:
…………………………………………2分
∴
………6分
(2)设最大的数为
,由题意得:
解得:
,∴
,
,
,
,
答:能办到,这六个数分别是23,22,21,16,15,14. …………………12分


∴

(2)设最大的数为


解得:






答:能办到,这六个数分别是23,22,21,16,15,14. …………………12分

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