在解物理习题过程中,如能恰当运用数学方法,往往可以化繁为简,以巧取胜,现举例作一探讨。1.合分比定理例题:一个上端开口的圆柱形容器,放入水中,容器有32的高度露出水面外,向桶内倒入60ml的煤油后,容器有65浸没水中,求容器质量。解:根据阿基米德定律及漂浮条件有:mg+m油g=5ρ6 In the process of solving physics exercises, if you can properly use mathematical methods, you can often simplify and cleverly win. 1. Theorem of proportionality and theorem Example: A cylindrical container with an open upper end is placed in water. The height of the container is 32, and the height of the container is exposed. After pour 60ml of kerosene into the barrel, the container is immersed in 65 water to obtain the quality of the container. Solution: According to Archimedes’ law and floating conditions: mg+m oil g=5ρ6