Cho hình thoi $ABCD$  cạnh bằng $a$ , $\widehat{A}$ =$60^{o}$.Một đường thẳng đi qua đỉnh $C$  cắt các tia đối của tia $BA$  ,$DA$ lần lượt theo thứ tự  $M$ ,$N$ 
a) Chứng minh rằng  : $BM$ .$DN$ = $a^{2}$

bài này phần b) khó lắm a làm rồi nên a biết :) –  111aze 15-03-16 02:22 PM
ak cô cko xg r vừa nãy lm khó wa đăng lên nhg phần b chép sai đề r –  Yêu Tatoo 15-03-16 02:18 PM
phần b đâu e -_- –  111aze 15-03-16 02:17 PM
a) $\widehat{MBC}=\widehat{CDN}=60^o;\widehat{MCB}=\widehat{CND}$       $(BC//AD)$ 
Suy ra $\triangle MBC\sim \triangle CDN$              $(g.g)$
$\Rightarrow \frac{BM}{BC}=\frac{DC}{DN}\Rightarrow BM.DN=BC.DC=a^2.$
bn a lm r ak –  Yêu Tatoo 15-03-16 02:27 PM
toàn dùng song song thôi phần a) dễ ko khó đâu :D –  111aze 15-03-16 02:26 PM
ak hiểu r –  Yêu Tatoo 15-03-16 02:25 PM
a) MBCˆ=CDNˆ=60o;MCBˆ=CNDˆMBC^=CDN^=60o;MCB^=CND^ (BC//AD)a giải thick đi –  Yêu Tatoo 15-03-16 02:24 PM
đồng vị với góc A^ –  111aze 15-03-16 02:24 PM
ừ sao ??? –  111aze 15-03-16 02:23 PM
sao z ak –  Yêu Tatoo 15-03-16 02:23 PM
MBCˆ=CDNˆ=60o –  Yêu Tatoo 15-03-16 02:23 PM
\begin{cases}\widehat{N}+\widehat{M}= 120\\ \widehat{NCD}+\widehat{MCB}=120 \end{cases}
và \begin{cases}\widehat{N}+\widehat{NCD}=120 \\ \widehat{M}+\widehat{MCB}=120 \end{cases} 
=> Góc N = góc MCB và góc M = góc NCD => NDC đồng dạng CBM => ND/CB = DC/BM => đpcm

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