Violympic toán 8
Các câu hỏi tương tự
1) The rectangle has length p and breath q (cm), where p and q are intergers. If p and q satisfy the equation pq+q=13 + q2
then the maxnium area of the rectangle
2) Let a,b and c be positive intergers such that ab + bc=518 and ab-ac=360. Find the largest value of the product abc.
P/s: As you may now, These are some questions from the 8 round of Math Violympic. Plz help me as much as you can! Thanks for all!
Let ABC be an isoceles triangle (AB = AC) and its area is 501cm2. BD is the internal bisector of the angle ABC (D ∈ AC), E is a point on the opposite ray of CA such that CE = CB. I is a point on BC such that CI = 1/2 BI. The line EI meets AB at K, BD meets KC at H. Find the area of the triangle AHC.
The product of the whole numbers from 1 to 122 is divisible by 22n. Find the greatest possible value of the whole number n.
1) ABC is a triangle where M is the midpoint of segment BC.
MD and ME are two bisectors of triangles AMB and AMC respectively.
If AM m; BC a . Then DE ???
2)dfrac{1}{left(x+29right)^2}+dfrac{1}{left(x+30right)^2}dfrac{5}{4}
What is the product of all real solutions to the equation above?
3) The sum of all possible natural numbers n such that
n^2+n+1589 is a perfect square is.....
4) Given that x is a positive integer such that x and x+99 are perfect squares
The sum of integer x is ....
Đọc tiếp
1) ABC is a triangle where M is the midpoint of segment BC.
MD and ME are two bisectors of triangles AMB and AMC respectively.
If AM= m; BC = a . Then DE = ???
2)\(\dfrac{1}{\left(x+29\right)^2}+\dfrac{1}{\left(x+30\right)^2}=\dfrac{5}{4}\)
What is the product of all real solutions to the equation above?
3) The sum of all possible natural numbers n such that
\(n^2+n+1589\) is a perfect square is.....
4) Given that x is a positive integer such that x and x+99 are perfect squares
The sum of integer x is ...
5)The operation @ on two numbers produces a number equal to their sum minus 2. The value of
(...((1@2)@3....@2017)
6) Given f(x)=\(\dfrac{x^2}{2x-2x^2-1}\)
=> \(f\left(\dfrac{1}{2016}\right)+f\left(\dfrac{2}{2016}\right)+f\left(\dfrac{3}{2016}\right)+...+f\left(\dfrac{2016}{2016}\right)\)
Các bn giúp mk vs >>> tks nha!!!
Toán tiếng anh: A rectangle has length pcm and width qcm, where p and q are integer. If p and q satisfy the equation pq+q=13+q2 then the maximum possible area of the rectangle is.........
Given the rectangle ABCD and the triangle BEC. Find the value of x such that the ratio of the area of the rectangle to the area of the triangle BEC is 7:3.
Answer: x = ....... cm.
1 How many triples of integers (a,b,c) are there such that
?
2
ABC and RTS are similar triangles.
The value of x is 3 The sum of 2 positive integer numbers is greater than their product if the smaller number is
Question 1: Find the highest common factor of 147x and 98y if HCF(x;y)1.
Question 2: In a magic triangle, each of the six whole numbers 10; 11; 12; 13; 14; 15 is placed in one of the circles so that the sum, S, of the three numbers on each side of the triangle is the same. The largest possible value for S is______
Question 3: A pattern of triangle is made from matches shown as follows:
If there 2017 matches used, how many triangles has been formed?
P/s: Please help me! If possible, write the...
Đọc tiếp
Question 1: Find the highest common factor of 147x and 98y if HCF(x;y)=1.
Question 2: In a magic triangle, each of the six whole numbers 10; 11; 12; 13; 14; 15 is placed in one of the circles so that the sum, S, of the three numbers on each side of the triangle is the same. The largest possible value for S is______
Question 3: A pattern of triangle is made from matches shown as follows:
If there 2017 matches used, how many triangles has been formed?
P/s: Please help me! If possible, write the detail answer! Thanks for your help!!!
find the smallest positive integer k for which \(\sqrt{6075\cdot k}\) is a whole number
Answer : the smallest positive integer k is ......
2. find the value of k such that the remainder is the greatest
k/13= 11Rx
K=