题干

在如图所示的2016年1月份的月历表中,用一个3×2的长方形框围住相邻三列两行中的6个数字,设其中第一行中间的数字为x.

(1)用含x的式子表示长方形框中6个数字的和

(2)若长方形框中6个数字的和是153,那么这6个数字分别是哪些数字?

(3)长方形框中6个数字的和能是117吗?简要说明理由.

上一题 下一题 0.0难度 选择题 更新时间:2019-04-01 03:44:23

答案(点此获取答案解析)

解:(1)设其中第一行中间的数字为x,则第一行三个数字分别为:x﹣1,x,x+1;第二行的三个数字分别为:x+6,x+7,x+8,

所以六个数字之和为:(x﹣1)+x+(x+1)+(x+6)+(x+7)+(x+8)=6x+21.

故答案为:6x+21.

(2)结合(1)结论可知:6x+21=153,

解得:x=22.

故第一行数字为:21,22,23;第二行数字为:28,29,30.

(3)假设能,则有6x+21=117,

同类题5

根据短文理解,选择正确答案。

    Albert Hofmann was a Swiss Scientist who was fascinated by nature. This led him to a career in chemistry in which he sought answers to his uncertainties. He worked at Sandoz Laboratories where he nurtured his research work, and there he made a lot of success by working with various plants and changing them into something useful. He became famous when he became the first person to produce lysergic acid diethylamide (LSD) (迷幻药). In addition, he was also the first person to taste it and learn about its hallucinogenic (勾起幻觉的) effects. He was deeply connected to the nature and argued that LSD, besides being useful for psychiatry(精神病学), could also be used to promote awareness of mankind's place in nature. However, he was disappointed that his discovery was being carelessly used as a drug for entertainment. Because of his discovery, LSD fans have fondly called him “The father of LSD”. Besides carrying out his scientific experiments, he also authored numerous books and more than 100 scientific articles. In 2007, he featured in a list of the 100 greatest living geniuses(天才), published by The Telegraph Newspaper.

Childhood & Early Life

    Albert Hofmann was born in Baden, Switzerland, on January 11, 1906. He was the eldest of four children. His father was a poor toolmaker in a factory and they lived in a rented apartment. He spent much of his childhood outdoors, and grew up with a very deep connection with nature.

    He had mind-blowing experiences in childhood, wherein nature was changed in magical ways that he didn't understand. These experiences caused questions in his mind, and chemistry was the scientific field which allowed him to understand them.

    He studied chemistry at Zurich University, and his main interest is the chemistry of plants and animals. At 23, he earned his Ph. D with honors.