如做任何事情一样,解数学题除了必要的定理、公式、方法外,出常须遵循某些步骤——或许可称谓“经验”。 这儿给出一个解数学题步骤的框图,说不定对你会有些帮助(见下图)。 数学解题步骤框图 审 已知(题设)是什么? 题 结论(要证明或求解)是什么? 属何类问题? (几何、代数、三角、…:证明、计算、综合) 是否见过或做过这类问题? 需要哪些方法、定理和公式? 方 初选方法、初拟方案 案 (具体实施) 成功否? 否 推理、演算过程是否有误? 是 回 回顾过程可否简化? 方法是否得当?公式、 联想有无别的解法? 定理是否合适? 顾 展望结论能否改进? 题中条件(题设)有 拓广? 无遗漏? 总结教训与经验 再拟方案 顺便解释几句: 此框图系对解一般数学题而言的,对于某些简单、或一目了然的题目,当然无须步步循此框图(尽管实际上仍然是循着上面的步骤),面对一些大题,步骤倒是不可少的(有的人也许能跳过几步)。 再得,此图是对平时解题而言,在应试时,解题成功后的回顾、联想、展望、总结无须也无 As with anything else, in addition to the necessary theorems, formulas, and methods, solving mathematics questions often requires following certain steps—or permitting to call “experiences.” Here’s a block diagram of the steps for solving a math problem, maybe it will help you (see the figure below). Mathematical problem solving step block diagram examine what (question) is? What is the question conclusion (to prove or solve)? What kind of question? (geometry, algebra, triangle, ...: proof, calculation, synthesis) Have seen or What kind of methods, theorems and formulas have been used for this type of problem? Party’s primary selection method, initial plan case (concrete implementation) Success? No Inference, calculation process is wrong? Is the review process simplified? Is the method proper? Formula, Lenovo has no other solution? Is the Theorem appropriate? Can the perspective of the project be improved? The conditions (themes) are broadened? No omissions? Summary Lessons Learned and Experiences Plan Again Explaining in a few words: This block diagram is correct. In solving general mathematics problems, for some simple or obvious topics, of course, there is no need to follow this block diagram step by step (although in fact it is still following the above steps). In the face of some big questions, steps are indispensable ( Some people may skip a few steps.) Again, this picture is for the usual problem solving. When the test is taken, the review after the successful problem solving, the association, the outlook, and the summary need not be done.