normal style="MARGIN: 0cm 0cm 0pt 18pt; TEXT-ALIGN: center" align=center>理念:奥数知识的点线面,构成一种知识体系;统领其上的是数学思考方法体系。
normal style="MARGIN: 0cm 0cm 0pt 18pt; TEXT-ALIGN: center" align=center>只有熟悉各种思考方法,才能达到触类旁通、举一反三、“无招胜有招”之效。
normal style="MARGIN: 0cm 0cm 0pt 18pt; TEXT-ALIGN: center" align=center>举例:(完全是不完全统计,呵呵,有待进一步研究)
normal style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center" align=center>⑴思考角度:
normal style="MARGIN: 0cm 0cm 0pt 18pt; TEXT-INDENT: -18pt; TEXT-ALIGN: center; tab-stops: list 18.0pt" align=center>a. 正面思考
normal style="MARGIN: 0cm 0cm 0pt 18pt; TEXT-INDENT: -18pt; TEXT-ALIGN: center; tab-stops: list 18.0pt" align=center>b. 反面思考
normal style="MARGIN: 0cm 0cm 0pt 18pt; TEXT-INDENT: -18pt; TEXT-ALIGN: center; tab-stops: list 18.0pt" align=center>c. 极值思考
normal style="MARGIN: 0cm 0cm 0pt 18pt; TEXT-INDENT: -18pt; TEXT-ALIGN: center; tab-stops: list 18.0pt" align=center>d. 整体思考
normal style="MARGIN: 0cm 0cm 0pt 18pt; TEXT-INDENT: -18pt; TEXT-ALIGN: center; tab-stops: list 18.0pt" align=center>e. 有序思考
normal style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center" align=center>⑵思考工具
normal style="MARGIN: 0cm 0cm 0pt 18.75pt; TEXT-INDENT: -18.75pt; TEXT-ALIGN: center; tab-stops: list 18.75pt" align=center>a. 线段图
normal style="MARGIN: 0cm 0cm 0pt 18.75pt; TEXT-INDENT: -18.75pt; TEXT-ALIGN: center; tab-stops: list 18.75pt" align=center>b. 距形图
normal style="MARGIN: 0cm 0cm 0pt 18.75pt; TEXT-INDENT: -18.75pt; TEXT-ALIGN: center; tab-stops: list 18.75pt" align=center>c. 韦恩图
normal style="MARGIN: 0cm 0cm 0pt 18.75pt; TEXT-INDENT: -18.75pt; TEXT-ALIGN: center; tab-stops: list 18.75pt" align=center>d. 枝形图
normal style="MARGIN: 0cm 0cm 0pt 18.75pt; TEXT-INDENT: -18.75pt; TEXT-ALIGN: center; tab-stops: list 18.75pt" align=center>e. 对阵图
normal style="MARGIN: 0cm 0cm 0pt 18.75pt; TEXT-INDENT: -18.75pt; TEXT-ALIGN: center; tab-stops: list 18.75pt" align=center>f. 列表法
normal style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center" align=center>⑶思考技巧
normal style="MARGIN: 0cm 0cm 0pt 21pt; TEXT-INDENT: -21pt; TEXT-ALIGN: center; tab-stops: list 21.0pt" align=center>a. 假设法
normal style="MARGIN: 0cm 0cm 0pt 21pt; TEXT-INDENT: -21pt; TEXT-ALIGN: center; tab-stops: list 21.0pt" align=center>b. 归纳法
normal style="MARGIN: 0cm 0cm 0pt 21pt; TEXT-INDENT: -21pt; TEXT-ALIGN: center; tab-stops: list 21.0pt" align=center>c. 构造法
normal style="MARGIN: 0cm 0cm 0pt 21pt; TEXT-INDENT: -21pt; TEXT-ALIGN: center; tab-stops: list 21.0pt" align=center>d. 配对法
normal style="MARGIN: 0cm 0cm 0pt 21pt; TEXT-INDENT: -21pt; TEXT-ALIGN: center; tab-stops: list 21.0pt" align=center>e. 对应法
normal style="MARGIN: 0cm 0cm 0pt 21pt; TEXT-INDENT: -21pt; TEXT-ALIGN: center; tab-stops: list 21.0pt" align=center>f. 反证法
normal style="MARGIN: 0cm 0cm 0pt 21pt; TEXT-INDENT: -21pt; TEXT-ALIGN: center; tab-stops: list 21.0pt" align=center>g. 逆推法
normal style="MARGIN: 0cm 0cm 0pt 21pt; TEXT-INDENT: -21pt; TEXT-ALIGN: center; tab-stops: list 21.0pt" align=center>h. 化归法
normal style="MARGIN: 0cm 0cm 0pt 21pt; TEXT-INDENT: -21pt; TEXT-ALIGN: center; tab-stops: list 21.0pt" align=center>i. 代数法
normal style="MARGIN: 0cm 0cm 0pt 21pt; TEXT-INDENT: -21pt; TEXT-ALIGN: center; tab-stops: list 21.0pt" align=center>j. 演算法
normal style="MARGIN: 0cm 0cm 0pt 21pt; TEXT-INDENT: -21pt; TEXT-ALIGN: center; tab-stops: list 21.0pt" align=center>k. 扩缩法
normal style="MARGIN: 0cm 0cm 0pt 21pt; TEXT-INDENT: -21pt; TEXT-ALIGN: center; tab-stops: list 21.0pt" align=center>l. 代元法
normal style="MARGIN: 0cm 0cm 0pt 21pt; TEXT-INDENT: -21pt; TEXT-ALIGN: center; tab-stops: list 21.0pt" align=center>m. 消去法
normal style="MARGIN: 0cm 0cm 0pt 21pt; TEXT-INDENT: -21pt; TEXT-ALIGN: center; tab-stops: list 21.0pt" align=center>n. 排除法
normal style="MARGIN: 0cm 0cm 0pt 21pt; TEXT-INDENT: -21pt; TEXT-ALIGN: center; tab-stops: list 21.0pt" align=center>o. 染色法
normal style="MARGIN: 0cm 0cm 0pt 21pt; TEXT-INDENT: -21pt; TEXT-ALIGN: center; tab-stops: list 21.0pt" align=center>p. 方程法
normal style="MARGIN: 0cm 0cm 0pt 21pt; TEXT-INDENT: -21pt; TEXT-ALIGN: center; tab-stops: list 21.0pt" align=center>一元一次方程
normal style="MARGIN: 0cm 0cm 0pt 21pt; TEXT-INDENT: -21pt; TEXT-ALIGN: center; tab-stops: list 21.0pt" align=center> 二元一次方程组
normal style="MARGIN: 0cm 0cm 0pt 21pt; TEXT-INDENT: -21pt; TEXT-ALIGN: center; tab-stops: list 21.0pt" align=center>不定方程
normal style="MARGIN: 0cm 0cm 0pt 21pt; TEXT-INDENT: -21pt; TEXT-ALIGN: center; tab-stops: list 21.0pt" align=center>不等式
normal style="MARGIN: 0cm 0cm 0pt 21pt; TEXT-INDENT: -21pt; TEXT-ALIGN: center; tab-stops: list 21.0pt" align=center>q.经验习惯型
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normal style="MARGIN: 0cm 0cm 0pt 21pt; TEXT-INDENT: -21pt; tab-stops: list 21.0pt">
normal style="MARGIN: 0cm 0cm 0pt 21pt; TEXT-INDENT: -21pt; TEXT-ALIGN: center; tab-stops: list 21.0pt" align=center>( 请大家注意到这些方法构成了一把钥匙的形状,这里打开数学之门的钥匙啊,呵呵。随后即将推出各种方法例谈,结合一些例题,欢迎关注)
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