Giúp mình bài 11 vs ạ, mình cảm ơn
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Lời giải:
a.
$|x|\leq 2\Leftrightarrow -2\leq x\leq 2$
Tập $A=[-2;2]$
$(x-1)(x-4)< 0\Leftrightarrow 1< x< 4$
Tập $B=(1;4)$
Đến đây bạn có thể dễ dàng biểu diễn nó trên trục số
b.
$A\cap B=[-2;2]\cap (1;4)=(1;2]$
$A\cup B=[-2;2]\cup (1;4)=[-2;4)$
$A\setminus B= [-2;2]\setminus (1;4)=[-2;1]$
Xét pt hoành độ gđ của đường thẳng và parabol có:
\(\left(m-1\right)x^2+3mx+2m=2x-1\)
\(\Leftrightarrow\left(m-1\right)x^2+x\left(3m-2\right)+2m+1=0\) (1)
Để đt và parabol cắt tại hai điểm pb có hoành độ âm
\(\Leftrightarrow\) Pt (1) có hai nghiệm âm phân biệt
\(\Leftrightarrow\left\{{}\begin{matrix}\Delta>0\\S< 0\\P>0\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}m^2-8m+8>0\\\dfrac{2-3m}{m-1}< 0\\\dfrac{2m+1}{m-1}>0\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}m\in\left(-\infty;4-2\sqrt{2}\right)\cup\left(4+2\sqrt{2};+\infty\right)\\m\in\left(-\infty;\dfrac{2}{3}\right)\cup\left(1;+\infty\right)\\m\in\left(-\infty;-\dfrac{1}{2}\right)\cup\left(1;+\infty\right)\end{matrix}\right.\)
\(\Rightarrow m\in\left(-\infty;-\dfrac{1}{2}\right)\cup\left(4+2\sqrt{2};+\infty\right)\)
Vậy...
Refer
1. “Your cousin speaks English very well” Paul told me
Paul said that ___________my cousin spoke English very well____________
2. “The man broke out of prison yesterday” said the policeman
The policeman told us_that the man had broken out of prison the day beforr__
3. “I’ll lend you this book as soon as I finish it” Owen said to me
Owen said __me that he would lend me that book as soon as he finished it___
4. “I think I forgot to turn off the lights this morning” Brenda told Brian
Brenda told Brian ____that he thought he had forgotten to turn off the lights that morning.____
5. “I work eight hours a day, except when the children are on holiday” said Mrs. Wood
Mrs. Wood said me that he worked eight hours a day, excepted when the children were on holiday
6. “You’ve been making good progress this semester” Miss Lynn told me
Miss Lynn said that _____I had been making good progress that semester_________
7. “If you bought all the tickets, you would win the lottery” the man said
The man told me ______that If I had bought all the tickets, I would win the lottery______________
8. “I like swimming but I don’t go very often” Jill said to Pam
Jill said that ______he liked swimming but he didn’t go very often___________________________
9. “I want to buy it, but I haven’t brought any money” said Patrick
Patrick told me _________that he wanted to buy it, but he hadn’t brought any money_______________________
10. “I’m going to visit my aunt in Hue, but I’m not sure when” said Mai
Mai told me _________that she was going to visit her aunt in Hue, but she was not sure when__________________