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请检查您输入的地址是否正确。(Please check your input)怎样解好数学题
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怎样解好数学题
怎样解好数学题
&&&&著名数学家苏步青教授说：“学习数学要多做习题，边做边思考，先知其然，然后弄清其所以然。”因此我们要养成解数学题后认真思考的好习惯，力求在解题中得到多方面的启示，充分挖掘题目的训练功能，提高解题效率。那么在做完一道题后应再做些什么呢？&&&&一、分析条件和结论的联系&&&&解完题后，要思考题目涉及了哪些知识点，各已知条件之间是怎样深化和联系的，有哪些条件的应用方式是以前题目中没有出现过的，条件和结论是怎样联系的，求得的结果与题意或实际生活是否相符。通过这样的思考可使我们清楚题目的背景，促使我们进行大胆探索，进而发现规律，激发创造性思维。&&&&二、体会数学方法和思想&&&&解题后，要注意思考所解题目运用的是那一种数学方法，渗透了什么数学思想，以达到举一反三、触类旁通的目的。常用的数学方法主要有：（1）&&&配方法&（2）&&&换元法&（3）&&&待定系数法&（4&）&&定义法&（5&）&&数学归纳法（&6&&）&参数法（&7）&&&反证法&&（8）构造法&（&9）&&&分析与综合法&&（10）&&特例法&（11&）&类比与归纳法&&。&高中数学常用的数学思想有：（1）数形结合思想（2&）分类讨论思想（3&）&函数与方程思（4&）&&转化与化归的思想。&经常进行这样的思考和分析，有利于对知识的深刻理解和运用，提高知识的迁移能力。&&&&三、一题多解与多题一解&&&&&在解题时不要仅满足与解决了题目，还要考虑有无其他解法。经常尝试多种解法，可以锻炼我们思维的发散性，培养我们综合运用所学知识解决问题的能力和不断创新的意识。思考解决这道题目的方法还可以解决那些题目。这些题目背景可能千差万别，但解决时所用的数学方法是一样的。这样的思考能帮助我们看清题目的本质，大大提高解题能力。&&&&四、题目的变化与拓展&&&&解完一道题目，还可以对它进行适当的变化和拓展。主要可以改变题目条件，包括条件的加强与条件的减弱，条件与结论的交换等。改变题目的结论，主要是结论的深化和延伸。一题多变，有利于开阔眼界，拓宽解题思路，提高应变能力，有效地预防思维定势的负面影响。&&&&五、错误的总结与记录&&&&解题后，要思考题中易混易错的地方，总结预防错误的经验和犯错误的教训，有必要的要做好错题记录。&&&&把一道题目做好，充分利用好题目的训练功能，久而久之，你就会体会到“题不在多而在精”的道理。
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问&这道数学题怎么解？
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悬赏积分：0分&&&
提问学员：wuxiya
问题学科：九年级数学
解决状态：
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解答老师：hua0
解答时间：
答&回答(共1条)
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