1. D

2.  C, D

3. C, A

Nhận xét : Từ \(\frac{1}{41}\rightarrow\frac{1}{80}\)có 40 phân số . Gọi tổng các phân số đó là A.Ta có thể nhóm các phân số thành hai nhóm rồi so sánh các phân số có tử giống nhau.

Ta có : \(A=\frac{1}{41}+\frac{1}{42}+\frac{1}{43}+...+\frac{1}{79}+\frac{1}{80}\)

\(=\left[\frac{1}{41}+\frac{1}{42}+...+\frac{1}{59}+\frac{1}{60}\right]+\left[\frac{1}{61}+\frac{1}{62}+...+\frac{1}{79}+\frac{1}{80}\right]\)

Vì \(\frac{1}{41}>\frac{1}{42}>...>\frac{1}{60}>\frac{1}{61}>...>\frac{1}{80}\) nên \(A>\left[\frac{1}{60}+\frac{1}{60}+...+\frac{1}{60}+\frac{1}{60}\right]+\left[\frac{1}{80}+\frac{1}{80}+...+\frac{1}{80}+\frac{1}{80}\right]\)

\(A>\frac{20}{80}+\frac{20}{80}=\frac{1}{3}+\frac{1}{4}=\frac{4+3}{12}=\frac{7}{12}\)

Vậy : \(\frac{1}{41}+\frac{1}{42}+\frac{1}{43}+...+\frac{1}{79}+\frac{1}{80}>\frac{7}{12}\)

Ta có: 7/12 = 4/12 + 3/12 = 1/3 + 1/4 = 20/60 + 20/80 

1/41 + 1/42 + 1/43 +...+ 1/79 + 1/80 = (1/41 + 1/42 + 1/43 + ...+ 1/60) + (1/61 + 1/62 +...+ 1/79 + 1/80) 

Do 1/41> 1/42 > 1/43 > ...>1/59 > 1/60

=> (1/41 + 1/42 + 1/43 + ...+ 1/60) > 1/60 + ...+ 1/60 = 20/60

và 1/61> 1/62> ... >1/79> 1/80

=> (1/61 + 1/62 +...+ 1/79 + 1/80) > 1/80 + ...+ 1/80 = 20/80

Vậy: 1/41 + 1/42 + 1/43 +...+ 1/79 + 1/80 > 20/60 + 20/80 = 7/12

=> 1/41 + 1/42 + 1/43 +...+ 1/79 + 1/80 > 7/12

=> ĐPCM                      ( ĐPCM có nghĩa là điều phải chứng minh)

~ Học tốt ~ K cho mk nhé! Thank you.

\(\frac{5}{9}.\frac{-2}{13}+\frac{5}{13}.\frac{11}{9}-\frac{4}{9}\)

\(=\frac{5}{9}.\frac{-2}{13}+\frac{5}{9}.\frac{-11}{13}-\frac{4}{9}\)

\(=\frac{5}{9}\left(\frac{-2}{13}+\frac{-11}{13}\right)-\frac{4}{9}\)

\(=\frac{5}{9}.-1-\frac{4}{9}\)

\(=\frac{-5}{9}-\frac{4}{9}\)

\(=-1\)

\(\frac{5}{9}\times\frac{-2}{13}+\frac{-5}{13}\times\frac{11}{9}-\frac{4}{9}\)

\(=\frac{2}{9}\times\frac{-5}{13}+\frac{-5}{13}\times\frac{11}{9}-\frac{4}{9}\)

\(=\frac{-5}{13}\times\left(\frac{2}{9}+\frac{11}{9}\right)-\frac{4}{9}\)

\(=\frac{-5}{13}\times\frac{13}{9}-\frac{4}{9}\)

\(=\frac{-5}{9}-\frac{4}{9}\)

\(=\frac{-9}{9}=-1\)

Ex 1 : 

1. What about to giong to school by bus ?

2. She has never go camping with her friends.

Ex 2 :

1. Hoa has a brown eyes.

2. How many kilo of rice do you want to buy ?

3. There has a lot of mountains and rivers.

Cbht

i

1. what about going to go to the school bus?

2. she never goes camping with her friends

ii

1. hoa has brown eyes

2. how many bowl of rice do you want?

3. ther are lots of mountains and rivers in our country

PICK ME UP 

Câu 1: tt ngắn adj + -er + (than); tt dài more + adj + (than)

Câu 2: tt ngắn  the adj + -est + (N); tt dài the most + adj + (N)

Câu 3:

#Hk_tốt

#Ken'z

bn xem có thiếu đề hay không nhé

Để n thỏa mãn thì \(2n+1⋮n-2\)

\(\Rightarrow2n-4+5⋮n-2\)

Mà \(2n-4⋮n-2\)

\(\Rightarrow5⋮n-2\)

\(\Rightarrow n-2\inƯ\left(5\right)\)

\(\Rightarrow n-2\in\left\{\pm1;\pm5\right\}\)

\(\Rightarrow n\in\left\{1;3;-3;7\right\}\)

trời, đề thi toán tỉnh Bắc Ninh đây mà. Mik có lời giả nhưng tối mik giải cho

B= 1/1.2+1/2.3+...+1/2019.2020

B=1/1-1/2+1/2-1/3+...+1/2019-1/2020

B=1-1/2020=2020/2020-1/2020=2019/2020

1.D.since

2.C.machine

   B.swapped

3.A.robot

   C.moment