优优班--学霸训练营 > 知识点挑题
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            • 1. 如图,\(\triangle OAB\)是等腰三角形,\(∠AOB=120^{\circ}.\)以\(O\)为圆心,\( \dfrac {1}{2}OA\)为半径作圆.
              \((\)Ⅰ\()\)证明:直线\(AB\)与\(⊙O\)相切;
              \((\)Ⅱ\()\)点\(C\),\(D\)在\(⊙O\)上,且\(A\),\(B\),\(C\),\(D\)四点共圆,证明:\(AB/\!/CD\).
            • 2. 如图,已知\(CD\)是\(\triangle ABC\)中\(AB\)边上的高,以\(CD\)为直径的\(⊙O\)分别交\(CA\)、\(CB\)于点\(E\),\(F\),点\(G\)是\(AD\)的中点
              \((1)\)求证:\(GE\)是\(⊙O\)的切线;
              \((2)\)若\(GE=BD=2\),\(EC= \dfrac {9}{5}\),求\(BC\)值.
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