a) Ta có: \(Q=\dfrac{3x+\sqrt{9x}-3}{x+\sqrt{x}-2}-\dfrac{\sqrt{x}+1}{\sqrt{x}+2}+\dfrac{\sqrt{x}-2}{1-\sqrt{x}}\)

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

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

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

\(=\dfrac{\sqrt{x}+1}{\sqrt{x}-1}\)

b) Thay \(x=4+2\sqrt{3}\) vào Q, ta được:

\(Q=\dfrac{\sqrt{3}+1+1}{\sqrt{3}+1-1}=\dfrac{2+\sqrt{3}}{\sqrt{3}}=\dfrac{2\sqrt{3}+3}{3}\)

c) Để Q=3 thì \(\sqrt{x}+1=3\sqrt{x}-3\)

\(\Leftrightarrow\sqrt{x}-3\sqrt{x}=-3-1\)

\(\Leftrightarrow2\sqrt{x}=4\)

hay x=4

d) Để \(Q>\dfrac{1}{2}\) thì \(\dfrac{\sqrt{x}+1}{\sqrt{x}-1}-\dfrac{1}{2}>0\)

\(\Leftrightarrow\dfrac{2\sqrt{x}+2-\sqrt{x}+1}{2\left(\sqrt{x}-1\right)}>0\)

\(\Leftrightarrow\sqrt{x}-1>0\)

\(\Leftrightarrow x>1\)

Kết hợp ĐKXĐ, ta được: x>1

e) Để Q nguyên thì \(\sqrt{x}+1⋮\sqrt{x}-1\)

\(\Leftrightarrow2⋮\sqrt{x}-1\)

\(\Leftrightarrow\sqrt{x}-1\in\left\{-1;1;2\right\}\)

\(\Leftrightarrow\sqrt{x}\in\left\{0;2;3\right\}\)

hay \(x\in\left\{0;4;9\right\}\)

Cơ chế hình thành cây có kiểu gen Aaa là do rồi loạn giảm phân, diễn ra ở kì sau của giảm phân 1. 

Sơ đồ lai: 

P:       Aa          x             Aa

GP: Aa ; 0  ;           A   ;    a

F1:  Aaa             ;            a

lỗi ảnh 

???

Câu 19: B

Câu 20: A

1 I'm not really interested in robotics.

2 We might go to the moon for our summer holiday in 2050.

3 I couldn't email you last night because my computer didn't work.

4 I didn't need to finish my homework yesterday.

5 She has worked at the school canteen for two months.

6 If you don't study hard, you won't pass the exam.

Tìm từ sai hả bạn?

D C C A D C D A D B

\(\left(x^2-1\right)'=2x;\left[\left(x-2\right)^4\right]'=4\cdot\left(x-2\right)^3\cdot\left(x-2\right)'=4\left(x-2\right)^3\)

\(f''\left(x\right)=\left(x^2-1\right)'\left(x-2\right)^4+\left(x^2-1\right)\left[\left(x-2\right)^4\right]'\)

\(=2x\left(x-2\right)^4+\left(x^2-1\right)\cdot4\left(x-2\right)^3\)

\(=2\left(x-2\right)^3\left[x\left(x-2\right)+2x^2-2\right]\)

\(=2\left(x-2\right)^3\left(3x^2-2x-2\right)\)

Đặt \(f'\left(x\right)=0\)

=>\(\left[{}\begin{matrix}x=1\\x=-1\\x=2\end{matrix}\right.\)

\(f''\left(2\right)=0;f''\left(1\right)=2>0;f''\left(-1\right)=-162< 0\)

=>Chọn B