如图,正方形ABCD的对角线交于点O,E是OA上任一点,CF⊥BE于F,CF交OB于G.(1)求证OE=OG;(2)若点E在OA的延长线上,点G在OB的延长线上,其他条件不变,(1)中结论是否仍然成立?请说明理由.
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![如图,正方形ABCD的对角线交于点O,E是OA上任一点,CF⊥BE于F,CF交OB于G.(1)求证OE=OG;(2)若点E在OA的延长线上,点G在OB的延长线上,其他条件不变,(1)中结论是否仍然成立?请说明理由.](/uploads/image/z/2122822-46-2.jpg?t=%E5%A6%82%E5%9B%BE%2C%E6%AD%A3%E6%96%B9%E5%BD%A2ABCD%E7%9A%84%E5%AF%B9%E8%A7%92%E7%BA%BF%E4%BA%A4%E4%BA%8E%E7%82%B9O%2CE%E6%98%AFOA%E4%B8%8A%E4%BB%BB%E4%B8%80%E7%82%B9%2CCF%E2%8A%A5BE%E4%BA%8EF%2CCF%E4%BA%A4OB%E4%BA%8EG.%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81OE%3DOG%EF%BC%9B%282%29%E8%8B%A5%E7%82%B9E%E5%9C%A8OA%E7%9A%84%E5%BB%B6%E9%95%BF%E7%BA%BF%E4%B8%8A%2C%E7%82%B9G%E5%9C%A8OB%E7%9A%84%E5%BB%B6%E9%95%BF%E7%BA%BF%E4%B8%8A%2C%E5%85%B6%E4%BB%96%E6%9D%A1%E4%BB%B6%E4%B8%8D%E5%8F%98%2C%EF%BC%881%EF%BC%89%E4%B8%AD%E7%BB%93%E8%AE%BA%E6%98%AF%E5%90%A6%E4%BB%8D%E7%84%B6%E6%88%90%E7%AB%8B%3F%E8%AF%B7%E8%AF%B4%E6%98%8E%E7%90%86%E7%94%B1.)
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