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下面一题,若避开高等数学而采用取极限的办法,运用初等数学求解,不仅能为高一学生所接受,而且对加深理解教材中所述,“即时速度就是当△t趋近于零时平均速度的极限值”,将大有裨益。“在湖中有一小船,岸边有人用绳子跨过一高度h_=3米的滑轮拉船靠岸,如图一所示。当绳子以匀速V=1米/秒滑过轮时,求船通过距滑轮水平距离S_=4米处的
The following question, if you avoid the advanced mathematics and adopt the method of taking the limit, using elementary mathematics to solve not only can be accepted by the freshman students, but also to deepen understanding of the teaching materials, “The instant speed is when △t approaches zero ”The limit of the average speed" will be of great benefit. “There is a boat in the lake, and someone on the shore is using a rope to pull over a pulley with a height of h_=3 meters, as shown in Figure 1. When the rope slips over the wheel at a constant speed of V = 1 m/s, seek the ship. Through the horizontal distance from the pulley S_ = 4 meters