优优班--学霸训练营 > 知识点挑题
全部资源
          排序:
          最新 浏览

          50条信息

            • 1. 如图,\(AB\)是\(⊙O\)的直径,\(C\),\(F\)是\(⊙O\)上的点,\(OC\)垂直于直径\(AB\),
              过\(F\)点作\(⊙O\)的切线交\(AB\)的延长线于\(D\)、连接\(CF\)交\(AB\)于\(E\)点,
              \((1)\)求证:\(DE^{2}=DB⋅DA\);
              \((2)\)若\(⊙O\)的半径为\(2 \sqrt {3}\),\(OB= \sqrt {3}OE\),求\(EF\)的长.
            • 2.
              如图,\(\triangle ABC\)的两条中线\(AD\)和\(BE\)相交于点\(G\),且\(D\),\(C\),\(E\),\(G\)四点共圆.
              \((\)Ⅰ\()\)求证:\(∠BAD=∠ACG\);
              \((\)Ⅱ\()\)若\(GC=1\),求\(AB\).
            • 3.
              已知圆\(O\)是\(\triangle ABC\)的内切圆,与\(AC\),\(BC\)分别切于\(D\),\(E\)两点,如图所示,连接\(BD\)交圆\(O\)于点\(G\),\(BC=BA=2 \sqrt {2}\),\(AC=4\) 
              \((I)\)求证:\(EG/\!/CO\);
              \((\)Ⅱ\()\)求\(BC\)的长.
            • 4.
              如图,\(⊙O\)内切于\(\triangle ABC\)的边于\(D\),\(E\),\(F\),\(AB=AC\),连接\(AD\)交\(⊙O\)于点\(H\),直线\(HF\)交\(BC\)的延长线于点\(G\).
              \((1)\)求证:圆心\(O\)在直线\(AD\)上.
              \((2)\)求证:点\(C\)是线段\(GD\)的中点.
            0/40

            进入组卷