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28 tháng 3 2021

Dịch thôi chứ ko bt làm:Diện tích tam giác ABC là 300. Trong tam giác ABC, Q là trung điểm BC, P là một điểm trên AC nằm giữa C và A sao cho CP = 3PA. R là một điểm trên cạnh AB sao cho diện tích của \(\Delta\)PQR gấp đôi diện tích của \(\Delta\)RBQ. Tìm diện tích của\(\Delta\) PQR

câu 1: A rectangle has a length of 60cm and a width of 30cm. It is cut into 2 indentical squares, 2 identical rectangles and a shaded small square. Find the area of the shaded square. Find the area of the shaded square. câu 2.The number of ordered pairs (x; y) where x, y ∈ N* such that x2y2 - 2(x + y) is perfect square is .......... câu 3.Let ABCD be the square with the side length 56cm. If E and F lie on CD, C respectively such that CF = 14cm and EAF = 45o then CE = ........cm. câu...
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câu 1: A rectangle has a length of 60cm and a width of 30cm. It is cut into 2 indentical squares, 2 identical rectangles and a shaded small square. Find the area of the shaded square.
Find the area of the shaded square.
Đề thi violympic toán tiếng anh lớp 8 vòng 10
câu 2.The number of ordered pairs (x; y) where x, y ∈ N* such that x2y2 - 2(x + y) is perfect square is ..........

câu 3.Let ABCD be the square with the side length 56cm. If E and F lie on CD, C respectively such that CF = 14cm and EAF = 45o then CE = ........cm.

câu 4.

Given P(x) = (x2 - 1/2 x - 1/2)1008
If P(x) = a2016x2016 + a2015x2015 + ..... + a1x + a0
then the value of the sum a0 + a2 + a4 + .... + a2014 is ...........

Write your answer by decimal in simplest form câu 5.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. câu 6. all roots of the polynomial P(x) = x2 + 5x - 1 are also roots of the polynomial Q(x) = x3 + ax2 + bx + c then the value of a + b + 6c is ............ câu 7.Suppose that the polynomial f(x) = x5 - x4 - 4x3 + 2x2 + 4x + 1 has 5 solutions x1; x2; x3; x4; x5. The other polynomial k(x) = x2 - 4.
Find the value of P = k(x1) x k(x2) x k(x3) x k(x4) x k(x5) câu 8.The smallest value of Đề thi violympic toán tiếng anh lớp 8 vòng 10 is ............. câu 9.Let ABCD be a trapezoid with bases AB, CD and O be the intersection of AC and BD. If the areas of triangle OAB, triangle OCD are 16cm2, 40cm2respectively and M is the midpoint of BD, then the area of the triangle AMD is .........cm2. câu 10.Bottle A contains 15% syrup. Bottle B contains 40% syrup. When these 2 bottles of syrup are mixed, the syrup content is 30% and the total volume is 600ml. How much syrup is in the bottle A at first? câu 11.Let ABCD.A'B'C'D' be a cube with AC' = √3cm. Find the total surface area of this cube. câu 12.Let ABC be a triangle with AB = 3cm, AC = 7cm. The internal bisector of the angle BAC intersects BC at D. The line passing through D and parallel to AC cuts AB at E. Find the measure of DE. câu 12.Given two numbers x, y such that (4y2 - 12y + 25)(4x2 + 6x + 4) = 28
The ratio of y to x is ........ câu 13.Mr.Joseph drives car from A to B at a constant speed. If the speed of the car is increased by 20%, it takes him one hour less than the usual time. If he drives at the constant speed for the first 100km before increasing the speed by 30%, it also takes him one hour less than the usual. The distance of AB is ..........km. câu 14.A triangle ABC has  = 120o and the bisector AD (D ∈ BC). If AB = 40cm, AD = 30cm, then AC = ..... cm. câu 15.As shown in the figure, the length of BE is .............
Đề thi violympic toán tiếng anh lớp 8 vòng 10 câu 16.

Let f(x) the polynomial given by f(x) = (1 + 2x + 3x2 + 4x3 + 5x4 + 84x5)
Suppose that f(x) = ao + a1x + a2x2 + ..... + ..... + a50x50.
The value of T = a1 + a2 + .... + a50 is .........

  • a. 9910 - 1
  • b. 9910
  • c. 10010
  • d. 10010 - 1
  • câu 17.Find the area of the trapezoid ABCD, BC // AD, AB = CD = 5cm, BC = 10cm, AD = 16cm.
    The area of the trapezoid ABCD is .........cm2.
  • câu 18.Find the least possible value of A = 4x2 - 3x + 1/4x + 2015, where x varies in the set of positive real numbers. The least possible value of A is
  • câu 19.
0
7 tháng 2 2022

I) Hình bạn tự vẽ nha 

Ta có DY//BH ; YH//DB 

=> DYHB hình bình hành => DY = HB 

Tương tự được ZE = FC

mà \(\frac{BH}{BC}=1-\frac{HC}{BC}=1-\frac{1}{\sqrt{2}}\)\(\left(\Delta HIC\approx\Delta BAC;\frac{AB}{IH}=\sqrt{2}\right)\)(1)

Tương tự được \(\frac{FC}{BC}=1-\frac{BF}{BC}=1-\frac{1}{\sqrt{2}}\)(2) 

Từ (1) ; (2) => BH = FC hay DY = ZE 

12 tháng 1 2022

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12 tháng 1 2022
Nose this my is các anh chị giải dùm em với
6 tháng 1 2022

Note: You must write your answer in English.

6 tháng 1 2022

vtui,yvtnytifn tfmt rtdnhx gh yhf g fgxh

23 tháng 12 2015

bằng 0 bạn nhé ( tạm dịch đề bài là: trên mặt phẳng tọa độ, điểm A có tọa độ là -6 và B có tọa độ là 6. Điểm C là trung điểm của AB.. Vậy tọa độ của C là....) Vẽ hình ra bạn sẽ thấy rõ

Giúp mình làm các câu hỏi này nha: (càng nhiều càng tốt!)1. Tiffany and Ryan deposit some amount in a joint bank account such that total balance remains 500. If  amount deposited by Tiffany and Ryan are plotted as a linear graph on xy plane, find the area between this graph and the coordinate axis.2.A group of workers is paving a road. If they pave 200m of the road a day, they will need 3 more days. to finish the work. If they pave 240m of the road a day, they will finish the work...
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Giúp mình làm các câu hỏi này nha: (càng nhiều càng tốt!)

1. Tiffany and Ryan deposit some amount in a joint bank account such that total balance remains 500. If  amount deposited by Tiffany and Ryan are plotted as a linear graph on xy plane, find the area between this graph and the coordinate axis.

2.A group of workers is paving a road. If they pave 200m of the road a day, they will need 3 more days. to finish the work. If they pave 240m of the road a day, they will finish the work 2 days in advance. How long is the road, in meter?

3. Mrs. Darlie has a silver ring, a golden ring and a diamond ring. She put them on her left hand. Each ring can be on any of the five fingers. When there are two or three rings on the same finger, if the order in which they are put is different, that couunt as a different way. How many different ways for Lea to put these rings?

4. Let P(x) be a polynomial with degree 3 such that P(1)=3, P(2)=3, P(3)=7, P(4)=21. Find the value of P(5).

1

4. Call that polynomial P (x) = ax3 + bx2 + cx + d

We have P(1)=a+b+c+d=3   (1)

P(2)=8a+4b+2c+d=3   (2)

P(3)=27a+9b+3c+d  =7       (3) 

P(4)=64a+16b+4c+d     =21    (4)

From (1) and  (2) =>  7a+3b+c=0

From (1) and  (4)  => 63a+15b+3c=18

=> 12b+6c=-18  => 2b+c=-3

From (1) and  (3) =>26a+8b+2c=4=> 13a+4b+c=2

=> 13a+2b=5

It is possible