Cho tam giác ABC vuông cân tại A, H là trung điểm của BC, M là điểm nằm giữa B và H. Vẽ MB vuông góc AB tại D, ME vuông góc AC tại E.Chứng minh:
a) AH vuông góc với BC
b) AD=CE; BD=AE
c)MB^2+MC^2=2MA^2
Mn giúp mik vs, lát 7h mik phải nộp bài rồi ạ
Những câu hỏi liên quan
cho tam giác abc vuông cân tại a. h là trung điểm cạnh bc. m là trung điểm cạnh bc. m là điểm nằm giữa b và h. vẽ md vuông góc ab tại d, me vuông góc với ac tại e. Cm:
a) ah vuông góc với bc
b) ad= ce, bd= ae
c) mb mũ 2 + mc mũ 2= 2ma mũ 2
Cho tam giac ABC vuông cân tại A, H là trung điểm cạnh BC, M là điểm nằm giữa B và H. Vẽ MD vuông góc với AB tại D.Vẽ ME vuông góc AC tại E. Cmr:
a) AH vuông góc BC
b) AD = CE, BD = AE
c) \(^{MB^2}^{=MC^2=2MA^2}\)
1. Cho tam giác ABC vuông ở A có AB<AC. AH vuông góc với BC tại H, D là điểm trên cạnh BC sao cho AD=AB. Vẽ DE vuông góc với BC tại E. Chứng mih rằng AH=HE.
2. Cho tam giác ABC vuông cân tại A.. Qua A vẽ đường thẳng d ở ngoài tam giác ABC . Vẽ BD vuông góc với d taị D. CE vuông góc với d tại E. M là trung điểm CB. Chứng minh rằng:
a) BD + CE = DE
b) Tam giác MDE là tam giác vuông cân
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Xem thêm câu trả lời
Giup mink với nha !!
Cho Tam giác ABC vuông cân tại A. H là trung điểm BC. M là trung điểm của B và H. Vẽ MD vuông góc với AB tại D, ME vuông góc với AC tại E . CMR
a) AH vuông góc với BC
b) AD =CE, BD= AE
c) MB2 + MC2= 2MA2
thanks trước nha !!
Cho tam giác ABC vuông góc tại A và AB=AC. Gọi H là trung điểm của BC. Điểm M nằm giữa B và H. Vẽ MD vuông góc với AB tại D. ME vuông góc với AC tại E. CMR a) AH vương góc với BC b) AD = CE; BD=AE c) MB ^2 + MC^2 = 2MA^2
Xem chi tiết
Bài 1:Cho tam giác ABC cân có ABAC5cm, BC 8cm.Kẻ AH vuông góc với BC ( H thuộc BC).a, Chứng minh HBHCb, Tính độ dài AH.c, Kẻ HD vuông góc với AB(D thuộc AB), kẻ HE vuông góc với AC ( E thuộc AC).Chứng minh tam giác HDE cân.d, So sánh HD và HC.Bài 2:Cho tam giác ABC cân tại A có đường cao AH.a, Chứng minh tam giác ABH tam giác ACH và AH là tia phân giác của góc BAC.b, Cho BH 8cm, AB 10cm.Tính AH.c,, Gọi E là trung điểm của AC và G là giao điểm của BE và AH.Tính HG.d, Vẽ Hx song song với AC, Hx c...
Đọc tiếp
Bài 1:
Cho tam giác ABC cân có AB=AC=5cm, BC= 8cm.Kẻ AH vuông góc với BC ( H thuộc BC).
a, Chứng minh HB=HC
b, Tính độ dài AH.
c, Kẻ HD vuông góc với AB(D thuộc AB), kẻ HE vuông góc với AC ( E thuộc AC).Chứng minh tam giác HDE cân.
d, So sánh HD và HC.
Bài 2:
Cho tam giác ABC cân tại A có đường cao AH.
a, Chứng minh tam giác ABH = tam giác ACH và AH là tia phân giác của góc BAC.
b, Cho BH= 8cm, AB= 10cm.Tính AH.
c,, Gọi E là trung điểm của AC và G là giao điểm của BE và AH.Tính HG.
d, Vẽ Hx song song với AC, Hx cắt AB tại F. Chứng minh C, G, F thẳng hàng.
Bài 3
Cho tam giác ABC có CA= CB= 10cm, AB= 12cm.kẻ CI vuông góc với AB.Kẻ IH vuông góc với AC, IK vuông góc với BC.
a, Chứng minh IB= IC và tính độ dài CI
b, Chứng minh IH= IK.
c, HK// AC.
Bài 4:
Cho tam giác ABC cân tại A, vẽ AH vuông góc với BC tại H.Biết AB= 10cm, BH= 6cm.
a, Tính AH
b, tam giác ABH= tam giác ACH.
c, trên BA lấy D, CA lấy E sao cho BD= CE.Chứng minh tam giác HDE cân.
d, AH là trung trực của DE.
Bài 5:
Cho tam giác ABC cân tại AGọi D là trung điểm của BC.Từ D kẻ DE vuông góc với AB, DF vuông góc với AC. Chứng minh rằng:
a, tam giác ABD= tam giác ACD.
b, AD vuông góc với BC.
c, Cho AC= 10cm, BC= 12cm.Tính AD.
d, tam giác DEF cân.
Bài 6:
Cho tam giác ABC cân tại A có góc A < 900. kẻ BH vuông góc với AC ,CK vuông góc với AC.Gọi O là giao điểm của BH và CK.
a, Chứng minh tam giác ABH=Tam giác ACH.
b, Tam giác OBC cân.
c, Tam giác OBK = tam giác OCK.
d, trên nửa mặt phẳng bờ BC không chứa điểm A lấy I sao cho IB=IC.Chứng minh 3 điểm A, O, I thẳng hàng.
Bài 7
Cho tam giác ABC cân tại A. Kẻ BD vuông góc với AC, CE vuông góc với AB. BD và CE cắt nhau tại H.
a, Tam giác ABD=tam giác ACE.
b, Tam giác BHC cân.
c, ED//BC
d, AH cắt BC tại K, trên HK lấy M sao cho K là trung điểm của HM.Chứng minh tam giác ACM vuông.
Bài 8
Cho tam giác ABC cân tại A. Kẻ BD vuông góc với AC, CE vuông góc với AB. BD và CE cắt nhau tại H.
a, BD= CE.
b, Tam giác BHC cân.
c, AH là trung trực của BC
d, Trên tia BD lấy K sao cho D là trung điểm của BK.So sánh góc ECB và góc DKC.
Bài9
Cho tam giác ABC cân tại A.vẽ trung tuyến AM .từ M kẻ ME vuông góc với AB tại E.kẻ MF vuông góc với AC tại F.
a, chứng minh tam giác BEM= tam giác CFM.
b, AM là trung trực vủa EF.
c, từ B kẻ đường thẳng vuông góc với AB tại B, từ C kẻ đường thẳng vuông góc với AC tại C, hai đường này cắt nhau tại D.Chứng minh A,M,D thẳng hàng.
Bài 10
Cho tam giác ABC cân tại AGọi M là trung điểm của AC.Trên tia đối MB lấy D sao cho DM= BM.
a, Chứng minh Tam giác BMC= tam giác DMA.Suy ra AD//BC.
b, tam giác ACD cân.
c. trên tia đối CA lấy E sao cho CA= CE.Chuwngsminh DC đi qua trung điểm I của BE.
Bài 11: Cho tam giác ABC cân tại A (AB = AC ), M là trung điểm của BC. Gọi D là điểm là điểm nằm giữa A và M. Chứng minh rằng:
a) AM là tia phân giác của góc A?
b) (ABD = (ACD.
c) (BCD là tam giác cân ?
Bài 12: Cho tam giác ABC vuông tại A , đường phân giác BD. Kẻ DE vuông góc với BC (E BC). Gọi F là giao điểm của BA và ED.
Giúp mk với các bạn đẹp trai xinh gái ai làm đúng mk tik cho
Sắp hết Tết rùi giúp mk vs
ủa r viết ngần đó thì mất bn tg thek
Má ơi sao nó dài
Xem thêm câu trả lời
cho tam giác ABC vuông tại A (AB<AC). Gọi M là trung điểm của BC .Từ M vẽ MD vuông góc với AB ,ME vuông góc với AC
a) chứng minh D là trung điểm của AB, tứ giác BDEMlà hình bình hành
b) vẽ AD vuông góc vs BC tại H . Gọi K là giao điểm của AH và DE. Đường thẳng DH cắt BK tại J và I là trung điểm của MK .
chứng minh J là trọng tâm tam giác ABH và 3 điểm C,I.J thẳng hàng
cho tam giác ABC vuông cân tại A. H là trung điểm cạnh BC.M là điểm nằm giữa B và H. Bẽ MD vuông góc AB tại D, ME vuông góc AC tại E .chứng minh rằng : a, AH vuông góc BC
b, ADb= CE , BD = AE
c, MB2 + MC2 = 2MA2
1.Cho tam giác ABC vuông tại A (ABAC)a) Cho biết AB 8cm, BC 10cm. Tính AC.b) Gọi M là trung điểm cạnh BC. Trên tia đối tia MA lấy D sao cho MD MA. Vẽ AH vuông góc BC tại H, trên tia đối của tia HA lấy E sao cjo HEHA. Cứng minh rằng:*CD vuông góc AC *tam giác CAEcân *BDCE *AE vuông góc ED 2.Cho tam giác ABC vuông cân tại A. H là trung điểm cạnh BC. M là điểm nằm giữa B và H. Vẽ MD vuông góc AB tại D, ME vuông góc AC tại E. Chứng minh rằng:a)AH vuông góc...
Đọc tiếp
1.Cho tam giác ABC vuông tại A (AB>AC)
a) Cho biết AB= 8cm, BC= 10cm. Tính AC.
b) Gọi M là trung điểm cạnh BC. Trên tia đối tia MA lấy D sao cho MD =MA. Vẽ AH vuông góc BC tại H, trên tia đối của tia HA lấy E sao cjo HE=HA. Cứng minh rằng:
*CD vuông góc AC *tam giác CAEcân *BD=CE *AE vuông góc ED
2.Cho tam giác ABC vuông cân tại A. H là trung điểm cạnh BC. M là điểm nằm giữa B và H. Vẽ MD vuông góc AB tại D, ME vuông góc AC tại E. Chứng minh rằng:
a)AH vuông góc BC b) AD=CE, BD=AE c) MB2 + MC2 = 2MA2
Mình cần gấp, các bạn giải nhanh và đầy đủ giúp mình nhé, cảm ơn.