Vì \(\Delta\)ABC vuông tại A \(\Rightarrow\) \(\widehat{A}\) = 90o \(\Rightarrow\) \(\widehat{ABC}+\widehat{ACB}\) = 90o (1)
Ta cũng có: \(\widehat{BAI}+\widehat{CAI}\) = 90o (2)
Từ (1) và (2) \(\Rightarrow\) \(\widehat{CBA}+\widehat{BAC}\) = \(\widehat{CAI}+\widehat{BCA}\) = 90o
\(\Rightarrow\) AI \(\perp\) BC (đpcm)
Chúc bn học tốt!
cho tam giac abc vuong tai BC.tren canh AB lay diem D sao cho AD=AC ke qua D duong thang vuong goc voi Ab cat bc tai E .AE cat CD tai I
a)CM AE la phan giac goc CAB
b)CM AE la trung truc cua CD
c) so sanh CD va BC
d) M la trung diem cua BC,BM cat BI tai G,CG cat DB tai k.CM K la trung diem cua DB
cho tam giac ABC vuong tai A co goc B=60 do. Tia phan giac cua goc B cat AC tai E. Ke EH vuong goc voi BC(H thuoc BC).
a)CMR: tam giac ABE= HBE.
b)CMR: HB=HC.
c) Tu H ke duong thang song song vs Be cat AC tai K. CM tam giac EHK la tam giac deu.
d) Goi I la giao diem cua BA va HE. CM IE>EH
cho tam giac ABC.cac duong phan giac cua cac goc ngoai tai B va tai C cat nhau o K. qua K ke duong thang vuong goc voi AB,cat duong thang AB tai E.qua K ke duong thang vuong goc voi AC,cat duong thang AC o F.chung minh rang KE=KF
Cho tam giac ABC vuong tai A. BI la duong phan giac.Tu I ke duong vuong goc voi BC tai D va cat duong thang AB tai E.Chung minh:
a) Tam giac ABI=tam giac DBI.Tu do suy ra duong trung truc cua AD
b) AE=CD va CD<IE
c) BI vuong goc EC
cho tam giac ABC co AB=AC. Ke duong cao AH vuong goc voi BC
a/CM Tam giac AHB =tam giac AHC
b/ Lay diem G Tren doan thang AH sao cho AG=2GH. Goi M la giao diem cua BG va AC. CM:
M la trung diem cua AC
c/ Goi N la trung diem cua AB. CM : ba diem C G N thang hang
HELP ME mk sap co bai kiem tra roi
cho tam giacABC có AC=2AB ,tia phân giác của goc A cat BC tại D .trên canh AC lay diem M sao cho AM=AB
1 CHUNG MINH a. tam giác ABD= tam giac AMD
b AD vuong góc voi BM
2. duong thang MD cat tia AB tai N .Chung minh
a BN =MC
b tia AD cat NC tai trung diem E cua NC
cho tam giac ABC vuong can tai A H la trung diem cua BC tren AB va AC lay diem D va E sao cho AD=CE
a) CM: tam giac ADH bang tam giac CEH
b) CM: goc DHE=90
cho tam giac ABC vuong tai A duong cao AH ten tia HC lay diem D sao cho HD=HB
a) Tam giac ABC la tam giac gi Vi sao . Neu goc C=30 thi tam giac ABD la tam giac gi
b) Tu Cve duong thang vuong goc voi tia AD tai M . CM: CB la tia phan giac ACM
c) Tia AH cat CM tai Q . CM tam giac ACQ can
d) CM: QD vuong goc voi AC
cho tam giac ABC co goc A=120 do duong trumg tuc ab va ac cat nhau tai Icat Bc lan luot tai dva e chung minh tam giac ABDvatamgiac ACE la tamgiac gi va tinh goc BIC
cho tam giac ABC vuong tai A(AC>AB) BM la duong trung tuyen cua tam giac ABC. Tren tia doi cua tia MB lau diem D sao cho MD=MB
a/cho biet AB=6cm;BC=10cm.Tinh AC
b/cmAB=CD ;AC ⊥CD
c/CM AB+AC> 2BM
