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\((10\)分\()\)在平面直角坐标系中,\(\triangle ABC\)的位置如下图所示,其中点\(B(-3,1)\),解答下列问题:
\((1)\)将\(\triangle ABC\)绕着点\(O(0,0)\)顺时针旋转\(90^{\circ}\)得到\(\triangle A_{1}B_{1}C_{1}\),并写出\(B_{1}\)的坐标;\((5\)分\()\)
\((2)\)在网格图中,以\(O\)为位似中心在另一侧将\(\triangle A_{1}B_{1}C_{1}\)放大\(2\)倍得到\(\triangle A′B′C′\),并写出\(B′\)的坐标\(.(5\)分\()\)