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由“DC=2BD,CE=3AE”可得:S△ADE=14S△ADC,S△ADC=23S△ABC,S△ADE=16S△ABC,所以三角形ABC的面積為:20÷16=120(平方厘米),答:三角形ABC的面積為120平方厘米.故答案為:120平方厘米.
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