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教学目标:1.知识与技能:(1)理解掌握圆的一般方程的代数特征,由圆的一般方程确定圆的圆心半径,掌握方程x~2+y~2+Dx+Ey+F=0表示圆的条件。(2)通过配方等手段,将圆的一般方程化为圆的标准方程。能运用待定系数法求解圆的方程。2.过程与方法:(1)通过对方程x~2+y~2+Dx+Ey+F=0表示圆的条件的探究,培养学生自主探究新知的能力。(2)在教学
Teaching Objectives: 1. Knowledge and skills: (1) understand the algebraic features of the general equation governing the circle, determine the radius of the center of the circle from the general equation of the circle, master the equation x ~ 2 + y ~ 2 + Dx + Ey + F = 0 Indicates the condition of the circle. (2) By the formula and other means, the general equation of the circle into a standard equation of the circle. The method of undetermined coefficient can be used to solve the equation of the circle. 2. Processes and Methods: (1) To explore the condition of the circle by the equation x ~ 2 + y ~ 2 + Dx + Ey + F = 0, to cultivate the ability of students to independently explore new knowledge. (2) in teaching