Violympic toán 7
Các câu hỏi tương tự
cm 1/2- 1/2^2+1/2^3-1/2^4+1/2^5-1/2^6 <1/3
Tính P = 1 + \(\frac{1}{2}\)(1 + 2) + \(\frac{1}{3}\)(1 + 2 + 3) + \(\frac{1}{4}\)(1 + 2 + 3 + 4) +.....+\(\frac{1}{2019}\)(1 + 2 + 3+.....+ 2019)
2 Tìm x Thỏa mãn
\(\frac{4^5+4^5+4^5+4^5}{3^5+3^5+3^5}\cdot\frac{6^5+6^5+6^5+6^5+6^5+6^5}{2^5+2^5}=2^x\)
GIÚP MÌNH VỚI!!!!!
bài 1: tính A:=\(\frac{1}{2}-\frac{2}{3}+\frac{3}{4}-\frac{4}{5}+\frac{5}{6}-\frac{6}{7}-\frac{5}{6}+\frac{4}{5}-\frac{3}{4}+\frac{2}{3}-\frac{2}{3}-\frac{1}{2}\)
Bài 2: Cho B=\(1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\frac{1}{5}-\frac{1}{6}+.....+\frac{1}{49}-\frac{1}{50}\)
Chứng minh rằng: \(\frac{7}{12}< A< \frac{5}{6}\)
Tìm x,biêt
a,(3/2-2.x):2/3+5/6=1
b.(2.x)-(2.x-5/2)-|-2|=x-1/4
c,2.(x-1/3)-1/3.x=-1/4_x
d,2.(x-1/3)-1/3.x=-1/4_x
e,3/2:\|-1|3.x+1/3|\=|5/6-2|
1/1*2+1/2*3+1/3*4+1/4*5+1/5*6
a,\(-4\dfrac{1}{3}.\left(\dfrac{1}{2}-\dfrac{1}{6}\right)< hoac=x< hoac=\dfrac{-2}{5}.\left(\dfrac{1}{3}-\dfrac{1}{2}-\dfrac{3}{4}\right)\)
b, \(-4\dfrac{2}{5}.2\dfrac{4}{3}< hoac=x< hoac=-2\dfrac{3}{5}:1\dfrac{6}{15}\)
B. Tự luận
I: Đại số:
Bài 1: Thực hiện phép tính
1) 11/24 - 5/41 + 13/24 + 0,5 - 36/41
2) -12 : (3/4 - 5/6)^2
3) 7/23. [(-8/6) - 45/18]
4) 23frac{1}{4}.frac{7}{5}-13frac{1}{4}:frac{5}{7}
5) (1+frac{2}{3}-frac{1}{4} ) (0,8:-frac{3}{4} )^2
6) 16frac{2}{7}:left(frac{-3}{5}right)+28frac{2}{7}:frac{3}{5}
7) (2^2:frac{4}{3}-frac{1}{2} ) . 6/5 - 17
8) (1/3)^50 .(-9)^25 -2/3:4
9) 3/5: ( -1/15 - 1/6 )+3/5:( -1/3 - 1frac{1}{15} )
10) (-6,5).5,7+5,7.(-3,5)
11) 10.√0,01.√16/9+3√49-1/6√4
12)...
Đọc tiếp
B. Tự luận
I: Đại số:
Bài 1: Thực hiện phép tính
1) 11/24 - 5/41 + 13/24 + 0,5 - 36/41
2) -12 : (3/4 - 5/6)^2
3) 7/23. [(-8/6) - 45/18]
4) \(23\frac{1}{4}.\frac{7}{5}-13\frac{1}{4}:\frac{5}{7}\)
5) (\(1+\frac{2}{3}-\frac{1}{4}\) ) (\(0,8\:-\frac{3}{4}\) )^2
6) 16\(\frac{2}{7}:\left(\frac{-3}{5}\right)+28\frac{2}{7}:\frac{3}{5}\)
7) \((2^2:\frac{4}{3}-\frac{1}{2}\) ) . 6/5 - 17
8) (1/3)^50 .(-9)^25 -2/3:4
9) 3/5: ( -1/15 - 1/6 )+3/5:( -1/3 - 1\(\frac{1}{15}\) )
10) (-6,5).5,7+5,7.(-3,5)
11) 10.√0,01.√16/9+3√49-1/6√4
12) \(\frac{2⁴.2⁶}{\left(2⁵\right)^2}-\frac{2⁵.15^3}{6^3.10^2}\)
Bài 2. Tìm x, biết
1) x/12 - 5/6 = 1/12
2) 2/3 - 1\(\frac{4}{15}x=\frac{-3}{5}\)
3) -2^3 + 0,5x =1,5
Nhiêu đó thôi mik còn thiếu nhiều lắm
a) CM: A2= \(\frac{1}{\sqrt{1}}+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+\frac{1}{\sqrt{4}}+...+\frac{1}{\sqrt{100}}>10\)
b) CM: A3= \(\frac{1}{2!}+\frac{2}{3!}+\frac{3}{4!}+\frac{4}{5!}+...+\frac{99}{100!}< 1\)
Tính nhanh
(2+4+6+100)*(3/5:0.7+3*-2/7):(1/2+1/4+1/6+...+1/100) tinhs nhanh