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贵刊85年第3期载文“中点弦所在的直线方程”(以下简称[1]文),给出了一个求二次曲线“中点弦”所在的直线方程的定理及其证明,提供了解决这一问题的一种相当简便的方法。但我觉得[1]文还可作如下补充。首先[1]文写道: “若Bx_o+2Cy_o+E≠0,则过M(x_o,y_o)的直线方程为…,即G’_((x 0,y 0))(x,y)=G(x_0,y_0)_((x 0,y 0))证毕。” (见上述刊物P32) 其实,这时是不能算证毕的。因为还有当Bx_0+2Cy_0+E=0时,能否推导出定理中的结论,[1]文并没有交待。事实上,当By_0+2Cy_0(?)E=0时,仍可导出定理中的结论,本文将后面论述。其次,[1]文在运用定理时,一再指出或审
In your article in the 3rd issue of the 85th issue of your magazine, “The equation of the line where the mid-point string lies” (hereinafter abbreviated as [1]), a theorem and a proof of the equation of the line where the mid-point chord of the quadratic curve lies are given. Provides a fairly easy way to solve this problem. But I think [1] can also add the following. First, [1] writes: "If Bx_o+2Cy_o+E ≠ 0, then the linear equation over M(x_o, y_o) is ..., that is G’_((x 0, y 0)) (x, y) = G(x_0, y_0)_((x 0, y 0)). (See publication P32 above.) In fact, it cannot be verified at this time. Because there is still the conclusion in the theorem when Bx_0+2Cy_0+E=0, [1] does not confess. In fact, when By_0+2Cy_0(?)E=0, the conclusion in the theorem can still be derived, which will be discussed later in this paper. Second, when the theorem is used in [1], it is repeatedly pointed out or reviewed.