1提出问题文[1]借助几何画板,发现并论证了:结论1动直线m2 x+my+C=0(m≠0,C≠0)与抛物线y2=4Cx(C≠0)相切.对此,笔者把动直线方程中的参数作了一些调整,得出下列两个问题:问题1动直线m2 x+my+2m2-3m+1=0(m≠0)有什么几何性质?问题2动直线(m2-1)x+my+1=0有什么几何性质?对于问题1,从变换的角度研究,可把方程 1 raised the question text. [1] With the help of the geometric drawing board, it was found and demonstrated that: Conclusion 1 The moving line m2 x + my + C = 0 (m ≠ 0, C ≠ 0) is tangent to the parabola y2 = 4Cx (C ≠ 0). In this regard, the author made some adjustments to the parameters of the moving linear equation and concluded the following two questions: Question 1 What is the geometric nature of the moving line m2 x + my + 2m2-3m + 1 = 0 (m ≠ 0)? 2 What is the geometric nature of moving line (m2-1) x + my + 1 = 0? For problem 1, from the perspective of transformation, we can express equation