Giup mink !
Bai 1: Cho tam giac ABC co 3 goc nhon . Cac duong cao lan luot la AD,BE,CF cat nhau tai H
a.C/m tam giac AEF dong dang tam giac ABC
b.C/m tam giac AEF dong dang tam giac DBF
Bai 2: Cho tam giac ABC vuong tai A , AB=9 cm,AC=6 cm , duong cao AH , duong phan giac BD. Ke DE vuong goc BC (E thuoc BC), duong thang DE cat duong thang AB tai F .
a.Tinh BC,AH?
b.Chung minh tam giac EBF dong dang tam giac EDC
c.Goi I la giao diem cua AH va BD. Chung minh AB.BI=BH.BD
d.C/m BD vuong goc CF
e.Tinh ti so dien tich cua 2 tam giac ABC va tam giac BCD
1 Cho tam giac ABC vuong tai A ,co AH la duong cao
a,C/m AB^2=BH.BC
b,tia phan giac cua goc B cut AH tai D va cut AC tai E.C/minh tam giac ADB dong dang tam gic CED
C,tam giac ADE la tam giac gi Vi sao
2,Cho tam giac Abc vuong taij A , AH la duong cao
a,c/m tam giac Hba dong dang tam giac ABC
=>AB^2=BH.BC
b,Tia phan giac cua goc abc CUT AH taij E cut AC tai D C/minh tam giac ABE dong dang tam giac CBD
suy ra AD=AE
c,C/m AD^2=EH.DC
cho tam giac ABC co AB=6cm, AC=8cm. Tren cach AB lay diem M sao cho AM=2,25cm. Qua M ke duong thang // voi BC tai cat canh AC tai N. Goi I la trung diem BC , K la giao diem cua AI va MN . Cm K la trung diem cua MN
cho tam giac abc co 3 goc nhon (ab<ac), bd va ce la 2 duong cao cat nhau tai h
a) chung minh tam giac abd dong dang voi ace
b) chung minh hb.hd=hc.he
c) ve dm vuong goc voi bc tai m, cho bc=10cm, bm=3,6cm, tinh dm
Cho tam giac vuong ABC(A = 900) có AB = 12cm AC = 16cm. Tia phan giac goeA cat BC tai D.a Tinh ti so dien tich 2 tam giac ABD va ACD.b. Tinh do dai canh BC cua tam giac.. Tinh do dai cac doan thang BD va CD.d. Tinh chieu cao AH cua tam giac.
Cho tam giác ABC có các góc đều nhọn. Các đường cao BD và CE cắt nhau tại H. a) chung minh tam giac ABDᔕtam giac ACE b) chung minh goc ADE= GOC ABC c) tren cac doan thang BD va CE lay lan luot hai diem M va N sao cho goc AMC= goc ANB=90∘. chung minh rang AM=AN
cho tam giac ABC vuong o A co AB=15cm va AC=12cm duong trung tuyen AM
Tinh BC va AM
Ve Ax vuong goc AM va By vuong goc BA.Tia Ax va By cat nhau tai E.Ve BF vuong goc AE tai F.CM :goc ABF =gocBAMva \(\Delta ABC\) dong dang \(\Delta FBE\)
\(AM\cap BE=\left\{D\right\},MF\cap BE=\left\{I\right\}.CM:ABClaHCN\),I la trung diem cua BF
\(ME\cap AB=\left\{K\right\}.\)CM: D,F,K thang hang
cho tam giac ABC can tai A, M la 1 diem nam tren BC,MB<MC ke ME//AC,MF//AB N la diem doi xung voi M qua EF,AN cat BC tai H chung minh HB.HC=HN.HA
1. Cho hinh binh hanh ABCD. Ke AH vuong goc CD, AK vuong goc BC
a. chung minh tam giac AHD dong dang tam giac AKB
b. biet AB = 12, AD = 8, CK = 3. Tinh AK va AH
2. Cho tam giac ABC (AB < AC). Duong cao BH va CK cat nhau tai I
a. chung minh tam giac IKB dong dang tam giac IHC, tam giac IHC dong dang tam giac AKC
b. chung minh KI*KC = KA*KB
AC*BK + BI*CK
