cho tam giác abc vuông tại A.gọi M là 1 điểm thuộc cạnh AC(M khác AC).đường tròn đường kínhMC,C cắt BC tại N và tia BM tại I.
a,cm : ABNM,MNCI nội tiếp
b, cm:MN là phân giác của góc ANI
c cm: NI vuông với AC
giải giúp mình câu c
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a: góc CIM=góc CNM=1/2*180=90 độ
=>NM vuông góc BC
góc MAB+góc MNB=180 độ
=>MABN nội tiếp
góc CAB=góc CIB=90 độ
=>CIAB nội tiếp
b: góc ANM=góc MBA
góc INM=góc ICA
mà góc MBA=góc ICA
nên góc ANM=góc INM
=>NM là phân giác của góc ANI
c: Xét ΔBNM vuông tại N và ΔBIC vuông tại I có
góc NBM chung
=>ΔBNM đồng dạng với ΔBIC
=>BN/BI=BM/BC
=>BN*BC=BI*BM
Xét ΔCNM vuông tại N và ΔCAB vuông tại A có
góc NCM chung
=>ΔCNM đồng dạng với ΔCAB
=>CN/CA=CM/CB
=>CN*CB=CA*CM
=>BM*BI+CM*CA=BC^2=AB^2+AC^2
a: góc CME=1/2*180=90 độ
=>EM vuông góc AC
góc EBA+góc EMA=180 độ
=>EBAM nội tiếp
góc ANC=1/2*180=90 độ
góc ANC=góc ABC=90 độ
=>ABNC nội tiếp
b; góc BME=góc EAB
góc NME=góc NCE
mà góc NCE=góc EAB
nên góc BME=góc NME
=>ME là phân giác của góc BMN
a: Gọi O là trung điểm của MC
=>O là tâm đường tròn đường kính MC
Xét (O) có
ΔCNM nội tiếp
CM là đường kính
Do đó: ΔCNM vuông tại N
=>MN\(\perp\)NC tại N
=>MN\(\perp\)CB tại N
Xét tứ giác ABNM có \(\widehat{MNB}+\widehat{MAB}=90^0+90^0=180^0\)
nên ABNM là tứ giác nội tiếp
=>A,B,N,M cùng thuộc một đường tròn
b: ABNM là tứ giác nội tiếp
=>\(\widehat{ANM}=\widehat{ABM}\)
=>\(\widehat{ANM}=\widehat{ABI}\)(1)
Xét tứ giác CIAB có \(\widehat{CIB}=\widehat{CAB}=90^0\)
nên CIAB là tứ giác nội tiếp
=>\(\widehat{ABI}=\widehat{ACI}\)
mà \(\widehat{ACI}=\widehat{MCI}=\widehat{MNI}\left(=\dfrac{1}{2}sđ\stackrel\frown{MI}\right)\)
nên \(\widehat{ABI}=\widehat{MNI}\left(2\right)\)
Từ (1) và (2) suy ra \(\widehat{MNI}=\widehat{MNA}\)
=>NM là phân giác của góc ANI
a,
Ta có :
Δ ABC vuông tại A
Mà AI là đường trung tuyến của BC
=> AI = BI = IC
Xét Δ AIB, có :
AI = BI (cmt)
=> Δ AIB cân tại A
Xét Δ AIC, có :
AI = AC (cmt)
=> Δ AIC cân tại I
Lời giải:
a) $\widehat{MNC}=90^0$ (góc nt chắn nửa đường tròn)
$\Rightarrow \widehat{BNM}=90^0$
$\Rightarrow \widehat{BNM}+\widehat{BAM}=90^0+90^0=180^0$
Tứ giác $ABNM$ có tổng 2 góc đối bằng $180^0$ nên là tgnt (đpcm)
$MNCI$ nội tiếp thì hiển nhiên rồi.
b) $\widehat{MIC}=90^0$ (góc nt chắn nửa đường tròn)
Vì $MNCI, ABNM$ nội tiếp nên:
$\widehat{MNI}=\widehat{MCI}=90^0-\widehat{IMC}=90^0-\widehat{BMA}=\widehat{ABM}=\widehat{ANM}$
Do đó $NM$ là tia phân giác $\widehat{ANI}$
c) Đề sai (nhìn hình)
Hình vẽ:
![](data:image/png;base64,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)