神奇的莫比乌斯圈(PPT)

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神奇的莫比乌斯圈瓯海实验小学金海跃4条边2个面2条边2个面4条边2个面1条边1个面一端不变,另一端拧180度,两端对接粘贴。这个神奇的纸环叫莫比乌斯带,它是德国数学家莫比乌斯于1858年发现的,所以就以它的名字命名。因为它有许多看起来不可思议的运用,所以很多人也通俗地称它为“怪圈”。莫比乌斯带中国科技馆内的三叶扭结应用“莫比乌斯圈”国家图书馆应用克莱因瓶应用机器上的传动带应用应用应用过山车日本人的专利――不用翻动音乐磁带应用变化变化我的纸圈创造提示:将纸条拧360度、540度会如何呢?将纸条平均分成四等分,五等分,沿等分线剪会如何呢?课堂梳理这节课你有什么收获?对于数学,你有什么新的感受?(POMLKIHGEDCBzyxvutrqpnmljihfedca98654210-)(&%$#ZYWVUTRQPNMLJIHFEDBAzxwvusrqonmkjigfecba8765321+-)*&%!#ZXWVTSRQONMKJIGFECBAyxwutsrponlkjhgfdcb98754320+-(*&$!#YXWUTSQPONLKJHGFDCBzyxvutrqpomlkihgedca98654210+)(*%$!ZYXVUTRQPNMLKIHGEDCAzywvusrqonmljihfedba9765321+-)*&%$#ZYWVUSRQONMKJIGFEDBAzxwvtsrponlkjhgfecba8764320+-(*&$!#ZXWVTSRPONLKJHGFDCBAyxwutsqpomlkihgedcb98754310+)(*%$!ZYXWUTSQPOMLKIHGEDCAzyxvutrqpnmljihfedba98654210-)(&%$#ZYWVUTRQPNMLJIHFEDBAzxwvusrqonmkjigfecba8764321+-)*&%!#ZXWVTSRPONMKJIGFECBAyxwutsqponlkjhgfdcb98754310+-(*&$!#YXWUTSQPOMLKJHGFDCBzyxvutrqpnmlkihgedca98654210-)(*%$!ZYXVUTRQPNMLJIHGEDCAzywvusrqonmkjihfedba9765321+-)*&%$#ZYWVUSRQONMKJIGFEDBAzxwvtsrponlkjhgfdcba8764320+-(*&$!#YXWVTSRPONLKJHGFDCBzyxwutsqpomlkihgedca98754310+)(*%$!ZYXVUTSQPOMLKIHGEDCAzywvutrqpnmljihfedba97654210-)(&%$#ZYWVUSRQPNMLJIHFEDBAzxwvtsrqonmkjigfecba8764321+-)*&%!#ZXWVTSRPONMKJIGFECBAyxwutsqpomlkjhgfdcb98754310+)(*&$!#YXWUTSQPOMLKIHGFDCBzyxvutrqpnmljihgedca98654210-)(&%$!ZYXVUTRQPNMLJIHFEDCAzywvusrqonmkjigfedba9765321+-)*&%!#ZYWVUSRQONMKJIGFECBAzxwvtsrponlkjhgfdcba8764320+-(*&$!#YXWVTSRPONLKJHGFDCBzyxvutsqpomlkihgedca98654310+)(*%$!ZYXVUTRQPOMLKIHGEDCAzywvusrqpnmljihfedba97653210-)(&%$#ZYWVUSRQONMLJIHFEDBAzxwvtsrponmkjigfecba8764320+-)*&%!#ZXWVTSRPONLKJIGFECBAyxwutsqpomlkjhgfdcb98754310+)(*&$!#YXWUTSQPOMLKIHGEDCBzyxvutrqpnmljihfedca98654210-)(&%$#ZYXVUTRQPNMLJIHFEDBAzywvusrqonmkjigfecba9765321+-)*&%!#ZXWVUSRQONMKJIGFECBAyxwvtsrponlkjhgfdcb98764320+-(*&$!#YXWUTSRPONLKJHGFDCBzyxvutsqpomlkihgedca98654310+)(*%$!ZYXVUTRQPNMLKIHGEDCAzywvusrqonmljihfedba9765321+-)(&%$#ZYWVUSRQONMKJIHFEDBAzxwvtsrponlkjigfecba8764320+-(*&%!#ZXWVTSRPONLKJHGFECBAyxwutsqpomlkihgfdcb98754310+)(*%$!#YXWUTSQPOMLKIHGEDCBzyxvutrqpnmljihfedca98654210-)(&%$#ZYWVUTRQPNMLJIHFEDBAzxwvusrqonmkjigfecba8765321+-)*&%!#ZXWVTSRQONMKJIGFECBAyxwutsrponlkjhgfdcb98754320+-(*&$!#YXWUTSQPONLKJHGFDCBzyxvutrqpomlkihgedca98654210+)(*%$!ZYXVUTRQPNMLKIHGEDCAzywvusrqonmljihfedba9765321+-)*&%$#ZYWVUSRQONMKJIGFEDBAzxwvtsrponlkjhgfecba8764320+-(*&$!#ZXWVTSRPONLKJHGFDCBAyxwutsqpomlkihgedcb98754310+)(*%$!ZYXWUTSQPOMLKIHGEDCAzyxvutrqpnmljihfedba98654210-)(&%$#ZYWVUTRQPNMLJIHFEDBAzxwvusrqonmkjigfecba8764321+-)*&%!#ZXWVTSRPONMKJIGFECBAyxwutsqponlkjhgfdcb98754310+-(*&$!#YXWUTSQPOMLKJHGFDCBzyxvutrqpnmlkihgedca98654210-)(*%$!ZYXVUTRQPNMLJIHGEDCAzywvusrqonmkjihfedba9765321+-)*&%$#ZYWVUSRQONMKJIGFEDBAzxwvtsrponlkjhgfdcba8764320+-(*&$!#YXWVTSRPONLKJHGFDCBzyxwutsqpomlkihgedca98754310+)(*%$!ZYXVUTSQPOMLKIHGEDCAzywvutrqpnmljihfedba97654210-)(&%$#ZYWVUSRQPNMLJIHFEDBAzxwvtsrqonmkjigfecba8764321+-)*&%!#ZXWVTSRPONMKJIGFECBAyxrqpnmljihfedba97654210-)(&%$#ZYWVUSRQPNMLJIHFEDBAzxwvtsrqonmkjigfecba8764321+-)*&%!#ZXWVTSRPONMKJIGFECBAyxwutsqponlkjhgfdcb98754310+-(*&$!#YXWUTSQPOMLKJHGFDCBzyxvutrqpnmlkihgedca98654210-)(*%$!ZYXVUTRQPNMLJIHFEDCAzywvusrqonmkjigfedba9765321+-)*&%!#ZYWVUSRQONMKJIGFECBAzxwvtsrponlkjhgfdcba8764320+-(*&$!#YXWVTSRPONLKJHGFDCBzyxwutsqpomlkihgedca98754310+)(*%$!ZYXVUTSQPOMLKIHGEDCAzywvutrqpnmljihfedba97654210-)(&%$#ZYWVUSRQONMLJIHFEDBAzxwvtsrponmkjigfecba8764320+-)*&%!#ZXWVTSRPONLKJIGFECBAyxwutsqpomlkjhgfdcb98754310+)(*&$!#YXWUTSQPOMLKIHGFDCBzyxvutrqpnmljihgedca98654210-)(&%$!ZYXVUTRQPNMLJIHFEDCAzywvusrqonmkjigfedba9765321+-)*&%!#ZYWVUSRQONMKJIGFECBAyxwvtsrponlkjhgfdcb98764320+-(*&$!#YXWUTSRPONLKJHGFDCBzyxvutsqpomlkihgedca98654310+)(*%$!ZYXVUTRQPOMLKIHGEDCAzywvusrqpnmljihfedba97653210-)(&%$#ZYWVUSRQONMLJIHFEDBAzxwvtsrponmkjigfecba8764320+-)*&%!#ZXWVTSRPONLKJHGFECBAyxwutsqpomlkihgfdcb98754310+)(*%$!#YXWUTSQPOMLKIHGEDCBzyxvutrqpnmljihfedca98654210-)(&%$#ZYXVUTRQPNMLJIHFEDBAzywvusrqonmkjigfecba9765321+-)*&%!#ZXWVUSRQONMKJIGFECBAyxwvtsrponlkjhgfdcb98764320+-(*&$!#YXWUTSQPONLKJHGFDCBzyxvutrqpomlkihgedca98654210+)(*%$!ZYXVUTRQPNMLKIHGEDCAzywvusrqonmljihfedba9765321+-)(&%$#ZYWVUSRQONMKJIHFEDBAzxwvtsrponlkjigfecba8764320+-(*&%!#ZXWVTSRPONLKJHGFECBAyxwutsqpomlkihgfdcb98754310+)(*%$!ZYXWUTSQPOMLKIHGEDCAzyxvutrqpnmljihfedba98654210-)(&%$#ZYWVUTRQPNMLJIHFEDBAzxwvusrqonmkjigfecba8765321+-)*&%!#ZXWVTSRQONMKJIGFECBAyxwutsrponlkjhgfdcb98754320+-(*&$!#YXWUTSQPONLKJHGFDCBzusrqonmkjigfecba8765321+-)*&%!#ZXWVTSRQONMKJIGFECBAyxwutsrponlkjhgfdcb98754320+-(*&$!#YXWUTSQPONLKJHGFDCBzyxvutrqpomlkihgedca98654210+)(*%$!ZYXVUTRQPNMLKIHGEDCAzywvusrqonmljihfedba9765321+-)(&%$#ZYWVUSRQONMKJIHFEDBAzxwvtsrponlkjhgfecba8764320+-(*&$!#ZXWVTSRPONLKJHGFDCBAyxwutsqpomlkihgedcb98754310+)(*%$!ZYXWUTSQPOMLKIHGEDCAzyxvutrqpnmljihfedba98654210-)(&%$#ZYWVUTRQPNMLJIHFEDBAzxwvusrqonmkjigfecba8765321+-)*&%!#ZXWVTSRQONMKJIGFECBAyxwutsqponlkjhgfdcb98754310+-(*&$!#YXWUTSQPOMLKJHGFDCBzyxvutrqpnmlkihgedca98654210-)(*%$!ZYXVUTRQPNMLJIHGEDCAzywvusrqonmkjihfedba9765321+-)*&%$#ZYWVUSRQONMKJIGFEDBAzxwvtsrponlkjhgfecba8764320+-(*&$!#ZXWVT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