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[ 東京工業大学 2009 年後期 2 ]

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pqであるような点P( , )p q から双曲線 1

y  x へ引いた2本の接線の接点をA, Bとする。

pqtとおいて,三角形PABの面積をtの式として表せ。また,この面積の最小値を求めよ。

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