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如果数学问题中的条件或结论所反映出的数学规律(或关系)不因图形的变动或数值的改变而变化,则称这样的问题为不变性问题。在中学数学中,有许多不变性问题。如:可用“赋值法”求解的一类选择题;定值问题;判定函数的周期性;求解某些函数方程;恒等式或不等式中参数关系的确定等。如何求解不变性问题?下面举例说明。 1 编制单项选择题,有时把某个不变性结论混杂在选择支中。因此,求解此类选择题时,较好的办法是用“赋值法”。
If the mathematical rule (or relationship) reflected in the conditions or conclusions in the mathematical problem does not change due to the change of the figure or the change of the value, then such a problem is called the invariance problem. In middle school mathematics, there are many invariable issues. For example, a type of multiple-choice problem that can be solved by the “valuation method”; fixed value problem; periodicity of the decision function; solution of certain function equations; determination of parameter relationships in an identity or inequality, etc. How to solve the problem of invariability? 1 The preparation of single-choice questions, sometimes mixing certain invariant conclusions in the selection branch. Therefore, the best way to solve this type of multiple choice is to use the “assignment method.”