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在代数課本中,二次方程一般被认为是簡单熟悉的問題,但是不少教师为了在这一問題上扩大学生的知識范围和培养学生的解題技巧,正在不断的研究和改进着自己的教学方法。本文企图指出在初等数学的教学中进行此一工作仍有着广闊的余地,从而为教师或学生进一步独立钻研打下基础。哈恰多里(巴庫)写道,数年来他坚持在八年級的一节課上进行了利用韦达定理口答带有有理根的完全二次方程的练习。为此目的,他証明了二次方程枳的一个簡单性貭。已知方程 ax~2+bx+c=0, 証明方程 y~2+bx+ac=0的根等于已知方程根的a倍。为了証明此性质,我們应用公式解每一方程
In algebra textbooks, the quadratic equation is generally regarded as a simple and familiar problem, but many teachers are constantly researching and improving their own teaching in order to expand the scope of students’ knowledge and develop students’ problem-solving skills on this issue. method. This article attempts to point out that there is still much room for this work in the teaching of elementary mathematics, so as to lay a foundation for teachers and students to further study independently. Hachadori (Baku) wrote that for several years he had insisted on using Vedic’s theorem to answer a complete quadratic equation with rational roots in a class in the eighth grade. For this purpose, he proved a simple property of the quadratic equation 貭. The equation ax~2+bx+c=0 is known to prove that the root of the equation y~2+bx+ac=0 is equal to a times the root of the known equation. To prove this property, we apply a formula to solve each equation