如图,在平面直角坐标系xOy中,矩形OEFG的顶点E坐标为(4,2),OG边与y轴重合.将矩形OEFG绕点O逆时针旋转,使点F落在y轴的点N处,得到矩形OMNP,OM与GF交于点A.(1)判断△OGA和△NPO是否相似,并说明理
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![如图,在平面直角坐标系xOy中,矩形OEFG的顶点E坐标为(4,2),OG边与y轴重合.将矩形OEFG绕点O逆时针旋转,使点F落在y轴的点N处,得到矩形OMNP,OM与GF交于点A.(1)判断△OGA和△NPO是否相似,并说明理](/uploads/image/z/10234952-8-2.jpg?t=%E5%A6%82%E5%9B%BE%2C%E5%9C%A8%E5%B9%B3%E9%9D%A2%E7%9B%B4%E8%A7%92%E5%9D%90%E6%A0%87%E7%B3%BBxOy%E4%B8%AD%2C%E7%9F%A9%E5%BD%A2OEFG%E7%9A%84%E9%A1%B6%E7%82%B9E%E5%9D%90%E6%A0%87%E4%B8%BA%EF%BC%884%2C2%EF%BC%89%2COG%E8%BE%B9%E4%B8%8Ey%E8%BD%B4%E9%87%8D%E5%90%88.%E5%B0%86%E7%9F%A9%E5%BD%A2OEFG%E7%BB%95%E7%82%B9O%E9%80%86%E6%97%B6%E9%92%88%E6%97%8B%E8%BD%AC%2C%E4%BD%BF%E7%82%B9F%E8%90%BD%E5%9C%A8y%E8%BD%B4%E7%9A%84%E7%82%B9N%E5%A4%84%2C%E5%BE%97%E5%88%B0%E7%9F%A9%E5%BD%A2OMNP%2COM%E4%B8%8EGF%E4%BA%A4%E4%BA%8E%E7%82%B9A%EF%BC%8E%EF%BC%881%EF%BC%89%E5%88%A4%E6%96%AD%E2%96%B3OGA%E5%92%8C%E2%96%B3NPO%E6%98%AF%E5%90%A6%E7%9B%B8%E4%BC%BC%2C%E5%B9%B6%E8%AF%B4%E6%98%8E%E7%90%86)
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