a: AK<AQ
=>K nằm giữa A và Q

=>AK+KQ=AQ
=>KQ=1cm

b: AK và AC là hai tia đối nhau

=>A nằm giữa K và C

mà AK=AC

nen A là trung điểm của KC

c: BK=1,5+3=4,5cm>AQ

1 plays

2 are reading

3 sing

4 do - do, help

5 is teaching

7 visited

8 doesn't like

9 watch

10 gets - has - brushes - goes - has

11 played - was

12 met

13 are going to have

14 did - do , planted

15 didn't come

16 paint

17 taught

18 have never been

19 takes

20 have - had 

21 received

22 is going to invite

23 is waiting

24 talked

25 is going to travel

26 went - didn't buy

27 doesn't learn - will fail

28 washes

29 will be - watches

30 will phone

2 are reading

3 sings

4 do - do - help

5 is teaching

7 visited 

8 doesn't like

9 watch

10 gets - has

6. 10 brushes - goes

6. 30 has

11 played - was

12 met

13 will have

14 did - do - planted

15 didn't come

16 paint

17 taught

1 plays

2 are reading

3 sing

4 do - do, help

5 is teaching

7 visited

8 doesn't like

9 watch

10 gets - has - brushes - goes - has

11 played - was

12 met

13 are going to have

14 did - do , planted

15 didn't come

16 paint

17 taught

18 have never been

19 takes

20 have - had 

21 received

22 is going to invite

23 is waiting

24 talked

25 is going to travel

26 went - didn't buy

27 doesn't learn - will fail

28 washes

29 will be - watches

30 will phone

uses crt;

var a:array[1..100]of integer;

n,i,kt,j:integer;

begin

clrscr;

write('Nhap n='); readln(n);

for i:=1 to n do

begin

write('A[',i,']='); readln(a[i]);

end;

writeln('Cac so nguyen duong la: ');

for i:=1 to n do

if a[i]>0 then write(a[i]:4);

writeln;

writeln('Cac so nguyen to la: ');

for i:=1 to n do

if a[i]>1 then

begin

kt:=0;

for j:=2 to a[i]-1 do

if a[i] mod j=0 then kt:=1;

if kt=0 then write(a[i]:4);

end;

readln;

end.

\(n_{Br_2}=\dfrac{8}{160}=0,05\left(mol\right)\)

PTHH: C₂H₄ + Br₂ --> C₂H₄Br₂

           0,05<--0,05

=> \(\%V_{C_2H_4}=\dfrac{0,05.22,4}{4,48}.100\%=25\%\)

\(\%V_{CH_4}=100\%-25\%=75\%\)

Bài 1. (a) Điều kiện: \(x\ne\pm1\).

Ta có: \(A=\left(\dfrac{x-2}{x-1}-\dfrac{x+3}{x+1}+\dfrac{3}{x-1}\right):\left(1-\dfrac{x+3}{x+1}\right)\)

\(=\left(\dfrac{x-2+3}{x-1}-\dfrac{x+3}{x+1}\right):\dfrac{x+1-\left(x+3\right)}{x+1}\)

\(=\left(\dfrac{x+1}{x-1}-\dfrac{x+3}{x+1}\right):\dfrac{x+1-x-3}{x+1}\)

\(=\dfrac{\left(x+1\right)^2-\left(x+3\right)\left(x-1\right)}{\left(x-1\right)\left(x+1\right)}:\dfrac{-2}{x+1}\)

\(=\dfrac{x^2+2x+1-x^2-2x+3}{\left(x-1\right)\left(x+1\right)}\cdot\dfrac{x+1}{-2}\)

\(=\dfrac{4}{\left(x-1\right)\left(x+1\right)}\cdot\dfrac{x+1}{-2}=\dfrac{2}{1-x}\)

Vậy: \(A=\dfrac{2}{1-x}\)

(b) \(A=3\Leftrightarrow\dfrac{2}{1-x}=3\)

\(\Rightarrow1-x=\dfrac{2}{3}\Leftrightarrow x=\dfrac{1}{3}\left(TM\right)\)

Vậy: \(x=\dfrac{1}{3}\)

Bài 2. (a) Phương trình tương đương với:

\(\dfrac{3\left(3x-2\right)}{12}+\dfrac{6\left(x+3\right)}{12}=\dfrac{4\left(x-1\right)}{12}+\dfrac{x+1}{12}\)

\(\Rightarrow3\left(3x-2\right)+6\left(x+3\right)=4\left(x-1\right)+x+1\)

\(\Leftrightarrow9x-6+6x+18=4x-4+x+1\)

\(\Leftrightarrow10x=-15\Leftrightarrow x=-\dfrac{3}{2}\)

Vậy: Phương trình có tập nghiệm \(S=\left\{-\dfrac{3}{2}\right\}\).

(b) Điều kiện: \(x\ne\pm1\). Phương trình tương đương với:

\(\dfrac{2\left(x+1\right)}{\left(x-1\right)\left(x+1\right)}+\dfrac{2\left(x-1\right)}{\left(x+1\right)\left(x-1\right)}=\dfrac{2x^2+2}{\left(x+1\right)\left(x-1\right)}\)

\(\Rightarrow2\left(x+1\right)+2\left(x-1\right)=2x^2+2\)

\(\Leftrightarrow2x+2+2x-2=2x^2+2\)

\(\Leftrightarrow2x^2-4x+2=0\Leftrightarrow2\left(x^2-2x+1\right)=0\)

\(\Leftrightarrow2\left(x-1\right)^2=0\Rightarrow x-1=0\Leftrightarrow x=1\left(KTM\right)\)

Vậy: Phương trình có tập nghiệm \(S=\varnothing\)

2:

1: =7x(x-y)-5(x-y)

=(x-y)(7x-5)

2: =(x^2-y^2)-(4x-4y)

=(x-y)(x+y)-4(x-y)

=(x-y)(x+y-4)

3: =(x^2+2xy+y^2)-(2x+2y)+1

=(x+y)^2-2(x+y)+1

=(x+y-1)^2

\(D=\dfrac{x^2}{x^2-1}+\dfrac{1}{x^2-x^4}=\dfrac{x^4}{x^2\left(x^2-1\right)}-\dfrac{1}{x^2\left(x^2-1\right)}=\dfrac{x^4-1}{x^2\left(x^2-1\right)}=\dfrac{\left(x^2-1\right)\left(x^2+1\right)}{x^2\left(x^2-1\right)}=\dfrac{x^2+1}{x^2}=1+\dfrac{1}{x^2}\)
do \(x\ne0,\pm1\Rightarrow\dfrac{1}{x^2}>0\Rightarrow1+\dfrac{1}{x^2}>1\Rightarrow D>1\left(đpcm\right)\)

\(D=\dfrac{x^2}{x^2-1}+\dfrac{1}{x^2-x^4}\\ =\dfrac{x^4\left(1-x\right)}{\left(x-1\right)\left(x+1\right)\left(1-x\right)x^2}+\dfrac{x-1}{x^2\left(1-x\right)\left(1+x\right)\left(x-1\right)}\\ =\dfrac{x^4-x^5+x-1}{x^2\left(1-x\right)\left(1+x\right)\left(x-1\right)}\\ =\dfrac{-\left(x-1\right)^2\left(x^2+1\right)\left(x+1\right)}{-x^2\left(x-1\right)^2\left(x+1\right)}\\ =\dfrac{x^2+1}{x^2}>1\left(đpcm\right)\)

(x² + 1 luôn lớn hơn x²)