题干

列方程解应用题:
为了丰富社会实践活动,引导学生科学探究,学校组织七年级同学走进中国科技馆,亲近科学,感受科技魅力.来到科技馆大厅,同学们就被大厅里会“跳舞”的“小球矩阵”吸引住了(如图1).白色小球全部由计算机精准控制,每一只小球可以“悬浮”在大厅上空的不同位置,演绎着曲线、曲面、平面、文字和三维图案等各种动态造型.
已知每个小球分别由独立的电机控制.图2,图3分别是9个小球可构成的两个造型,在每个造型中,相邻小球的高度差均为a.为了使小球从造型一(如图2)变到造型二(如图3),控制电机使造型一中的②,③,④,⑥,⑦,⑧号小球同时运动,②,③,④号小球向下运动,运动速度均为3米/秒;⑥,⑦,⑧号小球向上运动,运动速度均为2米/秒,当每个小球到达造型二的相应位置时就停止运动.已知⑦号小球比②号小球晚
4
3
秒到达相应位置,问②号小球运动了多少米?
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答案(点此获取答案解析)

解:设②号小球运动了x米,由题意可得方程:
2
x
2
-
x
3
=
4
3
,
解方程得:x=2

同类题2

阅读下列短文,从每题所给的A、B、C和D项中,选出最佳选项。

     Australia is nearly as large as the United States, but most of it is too dry to live in. Around the edge(边缘) of this huge dry part are large sheep and cattle farms. A few of them are as large as the smallest states in America. Often the nearest neighbors are many hundred miles away.

     The two-way radio is very important to people who live on these great Australian farms. It works much like a telephone. A person can listen to someone else talk and give an answer.

     When these radios first came into use, the Australian government set up a special(专门的,特别的) two-way radio programme(节目). Then, people on the large farms could talk to a doctor hundreds of miles away. They could tell the doctor about someone who was sick, and the doctor could let them know how to care for the sick person.

     Since the large farms were so far from towns, the children could not to go to school. Radio schools were set up for them in some places. At a certain time each day, the boys and girls turn on their radios and listen to teachers in cities miles away.

     Families on the large farms wanted to give news to their neighbors. “Round robin(知更鸟)” talks by radio were started to keep families in touch with each other. They could talk about who was getting married or who was sick or who was going away. The men could talk about their sheep and cattle and how much money the markets would pay for them. In many ways the radio became a newspaper for the farm people of Australia.