a×b=30,b×c=35,a×c=42,则a×b×c=________.

发布时间:2020-08-08 03:27:06

a×b=30,b×c=35,a×c=42,则a×b×c=________.

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210
解析分析:由a×b=30,b×c=35,a×c=42,可推出a×b=6×5,b×c=5×7,a×c=6×7,进而推出a2×b2×c2=52×72×62=2102,由此可得a×b×c=210.

解答:因为a×b=30,b×c=35,a×c=42,
可得:a×b=6×5,b×c=5×7,a×c=6×7,
a2×b2×c2=52×72×62=2102,
所以a×b×c=210.
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