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二元二次方程组与一元二次方程看似两个风马牛不相及的概念,但它们之间却存在着极其重要的关系,如果熟练的运用这些关系,在解题时必会收到事半功倍的效果。人教版九年义务教材四年制代数第三册126页例2的第二种解法,说明了它们之间一种简单的关系。此题及其相应的解法如下: 解方程组解:这个方程组的x,y可以看作一元二次方程x~2-7z+12=0的两个根,解这个方程,得z=3或z=4。
Binary quadratic equations and one-dimensional quadratic equations seem to have two unrelated concepts, but there is an extremely important relationship between them. If these relations are used skillfully, they will be solved when solving problems. The effect of doing more with less. The second version of the second edition of the second edition of the second edition of the textbook for the nine-year compulsory teaching material of the People’s Education Press, page 126, illustrates a simple relationship between them. The problem and its corresponding solutions are as follows: Solving the equations solution: The x and y of this equation can be regarded as two roots of a quadratic equation x~2-7z+12=0. The solution to this equation is z=3. Or z=4.