[急求]求教2个高中数学中双曲线性质的证明题1.设A,B为双曲线x^2/a^2-y^2/b^2=k(a>0,b>0,k>0,k不等于1)上两点,其直线AB与双曲线x^2/a^2-y^2/b^2=1相交于P,Q,则AP=BQ.2.双曲线x^2/a^2-y^2/b^2=k(a>0,b>0)与直线A*x+B*y+C=
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![[急求]求教2个高中数学中双曲线性质的证明题1.设A,B为双曲线x^2/a^2-y^2/b^2=k(a>0,b>0,k>0,k不等于1)上两点,其直线AB与双曲线x^2/a^2-y^2/b^2=1相交于P,Q,则AP=BQ.2.双曲线x^2/a^2-y^2/b^2=k(a>0,b>0)与直线A*x+B*y+C=](/uploads/image/z/5911408-64-8.jpg?t=%5B%E6%80%A5%E6%B1%82%5D%E6%B1%82%E6%95%992%E4%B8%AA%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E4%B8%AD%E5%8F%8C%E6%9B%B2%E7%BA%BF%E6%80%A7%E8%B4%A8%E7%9A%84%E8%AF%81%E6%98%8E%E9%A2%981.%E8%AE%BEA%2CB%E4%B8%BA%E5%8F%8C%E6%9B%B2%E7%BA%BFx%5E2%2Fa%5E2-y%5E2%2Fb%5E2%3Dk%28a%3E0%2Cb%3E0%2Ck%3E0%2Ck%E4%B8%8D%E7%AD%89%E4%BA%8E1%29%E4%B8%8A%E4%B8%A4%E7%82%B9%2C%E5%85%B6%E7%9B%B4%E7%BA%BFAB%E4%B8%8E%E5%8F%8C%E6%9B%B2%E7%BA%BFx%5E2%2Fa%5E2-y%5E2%2Fb%5E2%3D1%E7%9B%B8%E4%BA%A4%E4%BA%8EP%2CQ%2C%E5%88%99AP%3DBQ.2.%E5%8F%8C%E6%9B%B2%E7%BA%BFx%5E2%2Fa%5E2-y%5E2%2Fb%5E2%3Dk%28a%3E0%2Cb%3E0%29%E4%B8%8E%E7%9B%B4%E7%BA%BFA%2Ax%2BB%2Ay%2BC%3D)
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