如图1,点A、G分别是两条平行线m、n上任意两点,在直线n上找一点C,使GC = kAG(k为常数),连结AC,在直线AC上任取一点E,作∠GEF =∠AGC,EF交直线m于点F. (1)请说明∠AFE=∠AGE的理由.(2)当k = 1时,
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![如图1,点A、G分别是两条平行线m、n上任意两点,在直线n上找一点C,使GC = kAG(k为常数),连结AC,在直线AC上任取一点E,作∠GEF =∠AGC,EF交直线m于点F. (1)请说明∠AFE=∠AGE的理由.(2)当k = 1时,](/uploads/image/z/12150041-41-1.jpg?t=%E5%A6%82%E5%9B%BE1%2C%E7%82%B9A%E3%80%81G%E5%88%86%E5%88%AB%E6%98%AF%E4%B8%A4%E6%9D%A1%E5%B9%B3%E8%A1%8C%E7%BA%BFm%E3%80%81n%E4%B8%8A%E4%BB%BB%E6%84%8F%E4%B8%A4%E7%82%B9%2C%E5%9C%A8%E7%9B%B4%E7%BA%BFn%E4%B8%8A%E6%89%BE%E4%B8%80%E7%82%B9C%2C%E4%BD%BFGC+%3D+kAG%EF%BC%88k%E4%B8%BA%E5%B8%B8%E6%95%B0%EF%BC%89%2C%E8%BF%9E%E7%BB%93AC%2C%E5%9C%A8%E7%9B%B4%E7%BA%BFAC%E4%B8%8A%E4%BB%BB%E5%8F%96%E4%B8%80%E7%82%B9E%2C%E4%BD%9C%E2%88%A0GEF+%3D%E2%88%A0AGC%2CEF%E4%BA%A4%E7%9B%B4%E7%BA%BFm%E4%BA%8E%E7%82%B9F%EF%BC%8E+%EF%BC%881%EF%BC%89%E8%AF%B7%E8%AF%B4%E6%98%8E%E2%88%A0AFE%3D%E2%88%A0AGE%E7%9A%84%E7%90%86%E7%94%B1.%EF%BC%882%EF%BC%89%E5%BD%93k+%3D+1%E6%97%B6%2C)
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