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《中学生数学》2006年第5期(上)中有一道关于篮球的影子的题目,题目要求证明篮球在太阳光的斜射下,其影子的轮廓为椭圆,而且篮球与地面的切点恰为该椭圆的一焦点.现给出一种证法.
Mathematical Sciences for Middle School Students 2006 issue 5 (above) has a question about the shadow of basketball. The subject asks to prove that under the oblique light of the sun, the silhouette of the shadow of the basketball is an ellipse, and the cut point between the basketball and the ground is exactly the same. A focus of the ellipse. Now give a proof.