Tạp chí Toán học tuổi thơ 2 kỳ số 171

Given that this is a correct division with digits represented by are the same and the digits can be different.. Find the faded digits.[r]

Given a set {1; 2; 3} and a relation {(1, 1); (2, 1); (1, 3); (3, 2)} on the set (a relation from to ) The statement is true if and only if ( , ) If is not true, we denote it as Determine which of the following statements are true

a) ; b) 3 2 c) 1 1 d) e) 2 3

Given a acute triangle inscribed in a circle ( ; ), and 3 The circle ( , )

is inscribed in the triangle and is tangent to

at The line intersects the circle ( ) at (where does not coincide with ) The line intersects the circle ( ) at (where does not coincide with ) Find the length of in terms

of and

In the calculation of a division, due to the fading of the ink, only some numbers are readable Given that this is a correct division with digits represented by are the same and the digits can be different Find the faded digits

Let be a right isosceles triangle with the vertex at and 2 cm Let and be the points on and , respectively, such that Find the minimum value of the length of

Solve the following simultaneous

equations

Given the positive real numbers and such that 1 Find the minimum value of the expression