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D B 0 A o D A P B С С P 1. Suppose AB and CD are different chords of a circle with centre 0. Show that if (the extensions of) AB and CD intersect at some point P, then |PA|·|PB| = |PC|·|PD|. [10] HINT. Two of the possible cases are displayed in the diagra

匿名用户 最后更新于 2021-12-01 19:14 数学类Mathematics

D B 0 A o D A P B С С P 1. Suppose AB and CD are different chords of a circle with centre 0. Show that if (the extensions of) AB and CD intersect at some point P, then |PA|·|PB| = |PC|·|PD|. [10] HINT. Two of the possible cases are displayed in the diagram above. Similarity can be a big help here.

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