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学习了线段和角的知识后,有时会遇到一些有关的探索问题.解答时要注意,无论是线段探索问题,还是角探索问题,都应从计算入手.一、线段探索问题例1如图1,已知点C在AB上,E、F分别是AC、BC的中点.(1)当AC=6,BC=4时,求EF的长;(2)当AB=m时,你能用m的代数式表示EF的长吗?若能,请写出结果及解答过程;若不能,请说明理由.分析:不难发现,EF=CE+CF.要求EF的长或用m的代数式表示EF的长,应先求CE和CF的长或确定CE+CF这个整体的值.
After learning the knowledge of line segments and corners, we sometimes encounter some related exploration problems. When answering, we should pay attention to whether line segment exploration or angle exploration should begin with the calculation. , It is known that point C is on AB, and E and F are respectively the midpoints of AC and BC. (1) When AC = 6 and BC = 4, find the length of EF. (2) When AB = m, If you can, please write out the results and answer the process; if not, please explain the reasons. Analysis: It is not difficult to find, EF = CE + CF. Requirements of the length of EF or the algebraic representation of m EF long, should first seek the length of CE and CF or determine the overall value of CE + CF.