làm phần a bài 8 hộ mình với ạ
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1: Xét (O) có
DC là tiếp tuyến
DA là tiếp tuyến
Do đó: DC=DA
Xét (O) có
EC là tiếp tuyến
EB là tiếp tuyến
Do đó: EC=EB
Ta có: DC+EC=DE
nên DE=AC+EB
1) Vì x=25 thỏa mãn ĐKXĐ nên Thay x=25 vào biểu thức \(A=\dfrac{\sqrt{x}-2}{x+1}\), ta được:
\(A=\dfrac{\sqrt{25}-2}{25+1}=\dfrac{5-2}{25+1}=\dfrac{3}{26}\)
Vậy: Khi x=25 thì \(A=\dfrac{3}{26}\)
2) Ta có: \(B=\dfrac{\sqrt{x}-3}{\sqrt{x}+1}+\dfrac{2x+8\sqrt{x}-6}{x-\sqrt{x}-2}\)
\(=\dfrac{\left(\sqrt{x}-3\right)\left(\sqrt{x}-2\right)}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+1\right)}+\dfrac{2x+8\sqrt{x}-6}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+1\right)}\)
\(=\dfrac{x-5\sqrt{x}+6+2x+8\sqrt{x}-6}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+1\right)}\)
\(=\dfrac{3x+3\sqrt{x}}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+1\right)}\)
\(=\dfrac{3\sqrt{x}\left(\sqrt{x}+1\right)}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+1\right)}\)
\(=\dfrac{3\sqrt{x}}{\sqrt{x}-2}\)
\(\dfrac{7}{5}+\dfrac{4}{7}-\dfrac{9}{10}=\dfrac{49-20}{35}-\dfrac{9}{10}=\dfrac{19}{35}-\dfrac{9}{10}=\dfrac{190-315}{350}=\dfrac{-125}{350}\)
\(\dfrac{2}{1}+\dfrac{3}{4}\text{×}\dfrac{8}{5}=\dfrac{8+3}{4}\text{×}\dfrac{8}{5}=\dfrac{11\text{×}8}{4\text{×}5}=\dfrac{88}{20}\)
mấy câu kia áp dụng là dc!
I. Write sentences with the cues given
1. Mai / usually / listen / K - pop music / free time.
→ Mai usually listens to K-pop music in her free time.
2. when / I / be / a child / I / enjoy / play / computer games
→ When I was a child, I enjoyed playing computer games.
3. my father / spend / most / spare time / look after / the garden
→ My father spends most of his spare time looking after the garden.
4. watching TV / most / popular / leisure activity / Britain ?
→ Is watching TV the most popular leisure activity in Britain?
5. many teenagers / addicted / the Internet / computer games
→ Many teenagers are addicted to the Internet and computer games.
6. she / get / hooked / the medical drama / after / watch / the first people
→ She got hooked on the medical drama after watching the first episode.
7. most / my friends / prefer / play sports / to / surf the net
→ Most of my friends prefer to play sports rather than surf the net.
8. today's world / teenagers / rely / technology / more / the past
→ In today's world, teenagers rely on technology more than in the past
II. Write the second sentences so that it has a similar meaning to the first one
1. It takes us more than two hours to see the film " Avatar "
→ The film " Avatar " requires more than two hours of our time to watch.
2. She likes to hang out with friends on Saturday evening
→ She's interested in socializing with friends on Saturday evening
Câu IV:
1) Xét tứ giác BFEC có
\(\widehat{BFC}=\widehat{BEC}\left(=90^0\right)\)
\(\widehat{BFC}\) và \(\widehat{BEC}\) là hai góc cùng nhìn cạnh BC
Do đó: BFEC là tứ giác nội tiếp(Dấu hiệu nhận biết tứ giác nội tiếp)
hay B,F,E,C cùng nằm trên 1 đường tròn(đpcm)
Bài 8:
a: Ta có: \(A=\left(\dfrac{x-2}{x^2-1}-\dfrac{x+2}{x^2+2x+1}\right)\cdot\dfrac{x^4-2x^2+1}{2}\)
\(=\dfrac{\left(x-2\right)\left(x+1\right)-\left(x+2\right)\left(x-1\right)}{\left(x+1\right)^2\cdot\left(x-1\right)}\cdot\dfrac{\left(x-1\right)^2\cdot\left(x+1\right)^2}{2}\)
\(=\dfrac{x^2-x-2-x^2-x-2}{1}\cdot\dfrac{x-1}{2}\)
\(=\dfrac{-2x\cdot\left(x-1\right)}{2}=-x\left(x-1\right)\)
Bài 8:
a) \(A=\left(\dfrac{x-2}{x^2-1}-\dfrac{x+2}{x^2+2x+1}\right).\dfrac{x^4-2x^2+1}{2}\left(đk:x\ne1,x\ne-1\right)\)
\(=\dfrac{\left(x-2\right)\left(x+1\right)-\left(x+2\right)\left(x-1\right)}{\left(x-1\right)\left(x+1\right)^2}.\dfrac{\left(x^2-1\right)^2}{2}=\dfrac{x^2-x-2-x^2-x+2}{\left(x-1\right)\left(x+1\right)^2}.\dfrac{\left(x-1\right)^2\left(x+1\right)^2}{2}=\dfrac{-2x\left(x-1\right)}{2}=-x^2+x\)
b) \(x^2-3x+2=0\Leftrightarrow\left(x-1\right)\left(x-2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=2\end{matrix}\right.\)\(\Leftrightarrow x=2\)(do đkxđ của A là \(x\ne1\))
\(A=-x^2+x=-2^2+2=-2\)
c) Do \(A=-x^2+x\in Z\forall x\in Z\)
\(\Rightarrow A\in Z\Leftrightarrow x\in Z\)