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Câu hỏi của Phạm Hương Giang - Toán lớp 7 - Học toán với OnlineMath

30 tháng 10 2017
ΔΔ ADB vuông tại D nên: DBAˆ+DABˆ=900DBA^+DAB^=900 Lại có: EACˆ+DABˆ=1800−BACˆ=1800−900=900EAC^+DAB^=1800−BAC^=1800−900=900 ⇒⇒ DBAˆ=EACˆDBA^=EAC^ (1) ΔΔ ABC cân tại A nên AB = AC Kết hợp với (1) ⇒⇒ ΔADB=ΔCEAΔADB=ΔCEA (cạnh huyền - góc nhọn) ⇒BD=AE,AD=CE⇒BD=AE,AD=CE ⇒BD+CE=AE+AD=DE⇒BD+CE=AE+AD=DE b. ΔΔ AMB và ΔΔ AMC có: AB=ACAB=AC (ΔΔ ABC cân tại A) MB=MCMB=MC (M là trung điểm của BC) AM là cạnh chung ⇒ΔAMB=ΔAMC⇒ΔAMB=ΔAMC (c.c.c) ⇒MABˆ=MACˆ=900:2=450⇒MAB^=MAC^=900:2=450 Mà ΔΔ ABC vuông cân tại A nên: ABMˆ=450⇒MABˆ=ABMˆ=450ABM^=450⇒MAB^=ABM^=450 ⇒⇒ ΔΔ AMB vuông cân tại M ⇒⇒ MA=MBMA=MB Ta lại có: DBAˆ=EACˆ⇒DBAˆ+450=EACˆ+450DBA^=EAC^⇒DBA^+450=EAC^+450 ⇒DBAˆ+MBAˆ=EACˆ+MACˆ⇒MBDˆ=MAEˆ⇒DBA^+MBA^=EAC^+MAC^⇒MBD^=MAE^ Kết hợp với MA=MBMA=MB và BD=AEBD=AE ⇒⇒ ΔBDM=ΔAEMΔBDM=ΔAEM (c.g.c) ⇒BMDˆ=AMEˆ,MD=ME⇒BMD^=AME^,MD=ME (*) Lại có: DMAˆ+BMDˆ=DMAˆ+AMEˆ=900DMA^+BMD^=DMA^+AME^=900 (**) Từ (*) và (**) ta suy ra ΔΔ DME vuông cân tại M.
30 tháng 10 2017

tilado.edu.vn/student/facebook_view_question/code/747142 link đó bạn nào cần

26 tháng 8 2017

Câu hỏi của Nguyễn Công Tỉnh - Ngữ văn lớp 7 | Học trực tuyến mk vừa có trả lời xong

13 tháng 2 2016

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7 tháng 3 2017

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