Cho tam giac ABC, tren AC lay diem M sao cho AM=2/5 AC. tren BC lay K sao cho BK=1/3 BC.doan thang BM: AK theo ti so nao?
Goi y : ve Ax // BC .BM cat Ax tai E .BM cat AK tai N
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Cho tam giac abc vuong tai a. Ke ah vuong goc voi bc tai h. Tren tia doi cua tia ha lay diem d sao cho ha=hd.
a) chung minh tam giac ahd=tam giac dhc
b)tren tia dc lay diem k sao cho c la trung diem cua dk. Chung minh ak||bc
c) tu c ke duong thang song song voi ab cat ak tai m. Doan thang bm cat ac tai q. Chung minh am+cm>2mq
bai 3 ; cho tam giac abc . tren canh ab lay diem m , tren canh ac lay diem n sao cho bm = cn . goi i la trung giem doan bn , goi k la trung diem doan cm , duong thang ik cat ab tai p , cat ac tai q . chung minh rang tam giac apq la tam giac can .
cho tam giac ABC va duong trung tuyen BM. tren doan BM lay diem D sao cho DB/DM=1/2. tia AD cat BC o K , cat tia Bx tai E(Bx//Ac)
a. tim ti so BE/AC
b. chung minh BK/BC=1/5
c. tinh ti so dien tich 2 tam giac ABK va ABC
cho tam giac abc vuong tai a goi M la trung diem cua AC tren tia BM lay diem k sao cho MK bang MB
c/m tam giac BMC bang KMA
c/m BC song song AK
goi D la trung diem cua BC tia DM cat AK tai F
c/m F la trung diem cua AK
Cho tam giac abc can tai a . tren canh ab lay diem m tren tia ac lay diem n sao cho bm=cn ,duong thang bc cat mn tai i. chung minh i la trung diem cua mn
cho tam giac vuong can abc . Tren canh AB lay diem M sao cho BM=2MA tren nua mat phat phang bo ab khong chua diem C ve duong thang Bx vuong goc voi AB , tren Bx lay diem N sao cho BN=1/2AB.Duong thang MC cat NA tai E, duong thang BE cat duong thang AC o F.CMR: AF=AM
CHO ABC vuong tai A goi M la trung diem cua AC goij M la trung diem cua AC tren tia BM lay diem K sao cho MK bang MB
c/m tam giac BMC bang KMA
C/M tam giac ACK vuong
goi D la trung diem cua BC tia DM cat AK tai F c/m F la trung diem cua AK
Cho hinh chu nhat ABCD, lay diem M tren canh CD sao cho MD bang 1/3 CD, lay diem N tren canh BC sao cho BN bang 1/3 BC. Doan thang AC cat BM tai P, doan thang AN cat BM tai Q. Tinh dien tich hinh tu giac PQNC biet dien tich tam giac APQ la 216 cm2.
cho tam giác ABC duong trung tyuen BM. tren doan BM lay D sao cho BD/DM=1/2. tia AD cat BC o K cat Bx tai E(Bx//AC)
a. tinh ti so BE/AC
b. chung minh BK/BC=1/5
c. tinh ti so dien tich 2 tam giac ADB va ACD