数学题求解啊
1个回答
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1)
∵是对折的
∴EC = EC',CF=FC'
∴ △EFC' ≌ △EFC
同理 △DGE ≌ △C'GE
故 ∠GED = ∠GEC' , ∠C'EF = ∠CEF
∠GED + ∠GEC' + ∠C'EF + ∠CEF = 180
∴∠FEC'+∠GED = 90
2)
∵∠FEC'+∠GED = 90
∠GED = ∠GEC'
∴∠FEC'+∠GEC' = 90 = ∠GEF
∴∠GEF 是直角
3)互为余角的
∠DEG与∠C'EF和∠DEG与∠CEF
互为补角的
∠DEG与∠GEC和∠FEC与∠FED
∵是对折的
∴EC = EC',CF=FC'
∴ △EFC' ≌ △EFC
同理 △DGE ≌ △C'GE
故 ∠GED = ∠GEC' , ∠C'EF = ∠CEF
∠GED + ∠GEC' + ∠C'EF + ∠CEF = 180
∴∠FEC'+∠GED = 90
2)
∵∠FEC'+∠GED = 90
∠GED = ∠GEC'
∴∠FEC'+∠GEC' = 90 = ∠GEF
∴∠GEF 是直角
3)互为余角的
∠DEG与∠C'EF和∠DEG与∠CEF
互为补角的
∠DEG与∠GEC和∠FEC与∠FED
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