thay các chữ a,b,c bằng chữ số không giống nhau thích hợp

\(\overline{ab}\times\overline{cc}\times\overline{abc}=\overline{abcabc}\)

Cho hàm f: N ➝ N

biết: f\(\left(\overline{ab}\right)=a.b\)

a) Tìm \(\overline{ab}\) biết \(f\left(\overline{ab}\right)=6\)

b) \(CMR:f\left(\overline{aa}\right)+f\left(\overline{ab}\right)+f\left(\overline{ba}\right)+f\left(\overline{bb}\right)=\left(a+b\right)\)

Tìm giá trị của k biết rằng:

a) k=\(\frac{\overline{ab}}{\overline{abc}}=\frac{\overline{bc}}{\overline{bca}}=\frac{\overline{ca}}{\overline{cab}}\)

b) k= \(\frac{\overline{abc}}{\overline{ab}+c}=\frac{\overline{bca}}{\overline{bc}+a}=\frac{\overline{cab}}{\overline{ca}+b}\)

Cho tỉ lệ thức: \(\frac{\overline{ab}}{\overline{bc}}=\frac{a}{c}.CMR:\frac{\overline{abb...bb}\left(ncsb\right)}{\overline{bb...bbc}\left(ncsb\right)}=\frac{a}{c}\)với \(n\in N\)

cho \(\dfrac{\overline{abc}}{\overline{bc}}=\dfrac{\overline{bca}}{\overline{ca}}=\dfrac{\overline{cab}}{\overline{ab}}\). Tính \(\dfrac{a}{\overline{bc}}+\dfrac{b}{\overline{ca}}+\dfrac{c}{\overline{ab}}\)

Cho biết \(\dfrac{\overline{abc}}{\overline{bc}}=\dfrac{\overline{bca}}{\overline{ca}}=\dfrac{\overline{cab}}{\overline{ab}}\)

Tính tổng\(\dfrac{a}{\overline{bc}}+\dfrac{b}{\overline{ca}}+\dfrac{c}{\overline{ab}}\)

Cho:\(\dfrac{a+\overline{bc}}{\overline{abc}}=\dfrac{b+\overline{ca}}{\overline{bca}}=\dfrac{c+\overline{ab}}{\overline{cab}}\)

CMR:\(\overline{\dfrac{bc}{a}=\dfrac{\overline{ca}}{b}=\dfrac{\overline{ab}}{c}}\)

Cho \(\frac{a+\overline{bc}}{\overline{abc}}=\frac{b+\overline{ca}}{\overline{bca}}=\frac{c+\overline{ab}}{\overline{cab}}\)

Chứng minh \(\frac{\overline{bc}}{a}=\frac{\overline{ca}}{b}\frac{\overline{ab}}{c}\)

Cho \(\dfrac{a+\overline{bc}}{\overline{abc}}=\dfrac{b+\overline{ca}}{\overline{bca}}=\dfrac{c+\overline{ab}}{\overline{cab}}\). Chứng minh rằng \(\dfrac{\overline{ab}}{c}=\dfrac{\overline{ca}}{b}=\dfrac{\overline{bc}}{a}\)