MN giúp e với e làm mà không xảy ra dấu bằng :(((((((
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1. What will you do?
I will organize free tutoring classes, donate books and school supplies, and raise funds for students in need.
2. Why do you choose to do them?
Because education is very important, and I want to help students have better opportunities to learn and succeed.
3. Do you think the students in need will receive benefits? Why?
Yes, they will. They can improve their knowledge, have enough materials to study, and feel more confident about their future.
4. How can you make more people know about your voluntary activities?
I can share information on social media, invite friends to join, and cooperate with schools or local organizations to spread the message.
V
1 are going to play
2 will arrive
3 spent
4 hasn't ridden
5 are grazing
6 are
7 lived
8 doesn't excite
9 to visit
10 driving
VI
1 enjoyment
2 farmers
3 larger
4 peaceful
5 bravery
6 uncomfortable
7 convenience
8 traditionally
9 populated
10 unforgetable
VII
1 E
2 C
3 G
4 F
5 H
6 B
7 A
8 D
Câu 2
\((1) MnO_2 + 4HCl \to MnCl_2 + Cl_2 + 2H_2O\\ (2) Cl_2 + H_2 \xrightarrow{as} 2HCl\\ (3) 3Cl_2 + 2Fe \xrightarrow{t^o} 2FeCl_3\\ (4) 2FeCl_3 + Fe \to 3FeCl_2\\ (5) 2NaOH + Cl_2 \to NaCl + NaClO + H_2O\)
\((1) 4Al + 3O_2 \xrightarrow{t^o} 2Al_2O_3\\ (2) 2Fe + 3Cl_2 \xrightarrow{t^o} 2FeCl_3\\ (3) C + O_2 \xrightarrow{t^o} CO_2\\ (4) 2KMnO_4 \xrightarrow{t^o} K_2MnO_4 + MnO_2 + O_2\\ (5) 4P + 5O_2 \xrightarrow{t^o} 2P_2O_5\\ (6) 2KClO_3 \xrightarrow{t^o} 2KCl + 3O_2\\ (7) Fe + H_2SO_4 \to FeSO_4 + H_2\\ (8) Cu + 2H_2SO_4 \to CuSO_4 + SO_2 + 2H_2O\\ (9) 2Fe + 6H_2SO_4 \to Fe_2(SO_4)_3 + 3SO_2 + 6H_2O\\ (10) 2Al + 6H_2SO_4 \to Al_2(SO_4)_3 + 3SO_2 + 6H_2O\)
Ta có: \(a^2+4b^2+3c^2+14>2a+12b+6c\)
=>\(a^2-2a+1+4b^2-12b+9+3c^2-6c+3+1>0\)
=>\(\left(a-1\right)^2+\left(2b-3\right)^2+3\left(c^2-2c+1\right)+1>0\)
=>\(\left(a-1\right)^2+\left(2b-3\right)^2+3\left(c-1\right)^2+1>0\) (luôn đúng)
1 better
2 more interesting
3 more dangerous
4 friendlier
5 more relaxed
6 busier
7 slower
8 more boring
9 healthier
10 cleaner
11 more exciting
\(A=\left(\dfrac{\sqrt{x}-2}{x+2\sqrt{x}+1}-\dfrac{\sqrt{x}+2}{x-1}\right):\dfrac{2\sqrt{x}}{x-1}\)
\(=\left(\dfrac{\sqrt{x}-2}{\sqrt{x}^2+2\sqrt{x}+1^2}-\dfrac{\sqrt{x}+2}{\sqrt{x}^2-1^2}\right).\dfrac{x-1}{2\sqrt{x}}\)
\(=\left(\dfrac{\sqrt{x}-2}{\left(\sqrt{x}+1\right)^2}-\dfrac{\sqrt{x}+2}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}\right).\dfrac{x-1}{2\sqrt{x}}\)
Tới đây là có được mẫu chung ở dấu = thứ 2 rồi.
\(A=\left(\dfrac{\sqrt{x}-2}{x+2\sqrt{x}+1}-\dfrac{\sqrt{x}+2}{x-1}\right):\dfrac{2\sqrt{x}}{x-1}\) ( với x>0;\(x\ne1\) )
\(=\left[\dfrac{\sqrt{x}-2}{\left(\sqrt{x}+1\right)^2}-\dfrac{\sqrt{x}+2}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}\right].\dfrac{x-1}{2\sqrt{x}}\)
\(=\dfrac{\left(\sqrt{x}-2\right)\left(\sqrt{x}-1\right)-\left(\sqrt{x}+2\right)\left(\sqrt{x}+1\right)}{\left(\sqrt{x}+1\right)\left(x-1\right)}.\dfrac{x-1}{2\sqrt{x}}\)
\(=.....\) ( theo như trên )
a: \(\Leftrightarrow a^2-4a+4+b^2-6b+9+c^2-2c+1>=0\)
\(\Leftrightarrow\left(a-2\right)^2+\left(b-3\right)^2+\left(c-1\right)^2>=0\)
Dấu '=' xảy ra (a,b,c)=(2;3;1)
Bài 2:
a: Xét tứ giác ABOC có
\(\widehat{ABO}+\widehat{ACO}=180^0\)
Do đó: ABOC là tứ giác nội tiếp










không cần làm câu c đâu ạ, giúp e với nhaaa mn
b) Ta có: \(a+b+c=0\)
\(\Rightarrow2abc\left(a+b+c\right)=0\)
\(\Rightarrow2a^2bc+2ab^2c+2abc^2=0\)
Ta lại có:
\(a^4+b^4+c^4=2\left(a^2b^2+b^2c^2+c^2a^2\right)^2\)(chứng minh câu a)
\(\Rightarrow a^4+b^4+c^4=2a^2b^2+2b^2c^2+2c^2a^2+4a^2bc+4ab^2c+4abc^2\)
\(\Rightarrow a^4+b^4+c^4=2\left(a^2b^2+b^2c^2+c^2a^2+2a^2bc+2ab^2c+2abc^2\right)\)
\(\Rightarrow a^4+b^4+c^4=2\left(ab+bc+ca\right)^2\)
a+b+c=0 ở đâu ra?