giúp em với ạ, em cảm ơn
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a) Xét ΔMNI vuông tại M và ΔHPI vuông tại P có
\(\widehat{MIN}=\widehat{HIP}\)(hai góc đối đỉnh)
Do đó: ΔMNI\(\sim\)ΔHPI(g-g)
b) Ta có: ΔMNI\(\sim\)ΔHPI(cmt)
nên \(\widehat{MNI}=\widehat{HPI}\)(hai góc tương ứng)
hay \(\widehat{MNI}=\widehat{MPK}\)
Xét ΔMNI vuông tại M và ΔMPK vuông tại M có
\(\widehat{MNI}=\widehat{MPK}\)(cmt)
Do đó: ΔMNI\(\sim\)ΔMPK(g-g)
Suy ra: \(\dfrac{MN}{MP}=\dfrac{MI}{MK}\)(Các cặp cạnh tương ứng tỉ lệ)
hay \(\dfrac{MN}{MI}=\dfrac{MP}{MK}\)
Xét ΔMNP vuông tại M và ΔMIK vuông tại M có
\(\dfrac{MN}{MI}=\dfrac{MP}{MK}\)(cmt)
Do đó: ΔMNP\(\sim\)ΔMIK(c-g-c)
7 friendly
8 traditionally
9 completely
10 compulsory
11 fashionab;e
12 modernized
13 friendly
14 convenient
Hello! John.
Glad to see you again. Tam, this is my cousin, Peter. It's his first to visit to your country.
How do you do? Welcome to VN
Thank you. Nice to meet you, Tam
Can I help you with your suitcases, John?
Thanks. I can manage.
OK. Now we're going to the hotel in the center of the city by taxi
That would be nice. How far is it from the airport to the center of the city?
It's about a half-hour drive
Look, John! What a lot of motorbikes in the streets!
Oh, yeah. That surprised me by the time I first came to VN
Motorbikes are our main means of transport. I go to school every day by bike.
Would you mind taking me around the city by bike?
No, of course not. But I have to ask someone else to get Peter, too
Peter, do you mind if Tam's friend gives us a ride around the city?
No, I don't mind. But I feel a little bit scared because the traffic is so heavy
OK. So we'll go on a sightseeing tour by bikes at weekend
Câu 4:
4.1/ Ta có: \(n_{NaCl}=2,5.0,4=1\left(mol\right)\)
\(\Rightarrow m_{NaCl}=1.58,5=58,5\left(g\right)\)
4.2/ Ta có: \(n_{Zn}=\dfrac{13}{65}=0,2\left(mol\right)\)
a, PT: \(Zn+2HCl\rightarrow ZnCl_2+H_2\)
_____0,2___________0,2____0,2 (mol)
b, \(V_{H_2}=0,2.22,4=4,48\left(l\right)\)
c, \(m_{ZnCl_2}=0,2.136=27,2\left(g\right)\)
Bạn tham khảo nhé!
a)\(R_{23}=R_2+R_3=2+4=6\Omega\)
\(R_{123}=\dfrac{R_1\cdot R_{23}}{R_1+R_{23}}=\dfrac{2\cdot6}{2+6}=1,5\Omega\)
\(R_{tđ}=R_4+R_{123}=4,4+1,5=5,9\Omega\)
\(I_m=\dfrac{\xi}{r+R_N}=\dfrac{12}{0,1+5,9}=2A\)
\(U_{AB}=2\cdot5,9=11,8V\)
b)\(I_4=I_{123}=I_m=2A\)
\(U_1=U_{23}=U_{123}=2\cdot1,5=3V\)
\(I_1=\dfrac{U_1}{R_1}=\dfrac{3}{2}=1,5A\)
\(I_2=I_3=I_{23}=\dfrac{U_{23}}{R_{23}}=\dfrac{3}{6}=0,5A\)
\(U_{AC}=U_4+U_2=I_4\cdot R_4+I_2\cdot R_2=2\cdot4,4+0,5\cdot2=9,8V\)
\(\dfrac{2020}{2019}>\dfrac{2019}{2020}\Rightarrow0< a< 1\)
\(log_ba< 1\Rightarrow b>1\)
\(P=log_b^2a+log_b^22-\dfrac{m^2log_2b}{log_2a}+2\left(log_ba-2log_b2\right)-\dfrac{4^{ab^2}-2m.2^{ab^2}}{log_ba}\)
\(=log_b^2a+log_b^22+2log_ba-4log_b2-\dfrac{4^{ab^2}-2m.2^{ab^2}+m^2}{log_ba}\)
\(=\left(log_ba+1\right)^2+\left(log_b2-2\right)^2+\dfrac{\left(2^{ab^2}-m\right)^2}{-log_ba}-5\ge-5\)
Dấu "=" xảy ra khi: \(\left\{{}\begin{matrix}log_ba=-1\\log_b2=2\\2^{ab^2}=m\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}a=\dfrac{1}{\sqrt{2}}\\b=\sqrt{2}\\m=2^{ab^2}=2^{\sqrt{2}}\end{matrix}\right.\)
Sau khi tính lại thì không có đáp án nào đúng :(
Bài 4:
a. \(n_{BaCl_2}=\frac{50.10,4\%}{208}=0,025mol\)
\(m_{AgNO_3}=\frac{80.6,375\%}{170}=0,03mol\)
\(BaCl_2+2AgNO_3\rightarrow Ba\left(NO_3\right)_2+2AgCl\)
\(n_{BaCl_2}>\frac{n_{AgNO_3}}{2}\rightarrow BaCl_2\) dư
\(n_{AgCl}=n_{AgNO_3}=0,03mol\)
\(m_{AgCl}=0,03.143,5=4,305g\)
\(\rightarrow m=4,305\)
b. \(m_{ddB}=50+80-4,305=125,695g\)
\(n_{BaCl_2}\) dư \(=0,025-\frac{0,03}{2}=0,01mol\)
\(n_{Ba\left(NO_3\right)_2}=\frac{0,03}{2}=0,015mol\)
\(C\%BaCl_2\) dư \(=\frac{0,01.208}{125,695}.100\%=1,65\%\)
\(C\%Ba\left(NO_3\right)_2=\frac{0,015.261}{125,695}.100\%=3,11\%\)
Bài 5:
\(m_{ddH_2SO_4}=1,137.200=227,4g\)
\(\Rightarrow n_{H_2SO_4}=\frac{227,4.20\%}{98}=0,46mol\)
\(n_{BaCl_2}=\frac{400.5,2\%}{208}=0,1mol\)
PTHH: \(BaCl_2+H_2SO_4\rightarrow BaSO_4+2HCl\)
Lập tỉ lệ: \(\frac{n_{BaCl_2}}{1}< \frac{n_{H_2SO_4}}{1}\rightarrow H_2SO_4\) dư
\(\rightarrow n_{BaSO_4}=n_{BaCl_2}=0,1mol\)
\(\rightarrow m_{BaSO_4}=0,1.233=23,3g\)
\(n_{HCl}=2n_{BaCl_2}=0,2mol\) và \(n_{H_2SO_4\left(\text{dư}\right)}=0,46-0,1=0,36mol\)
\(\rightarrow m_{HCl}=0,2.36,5=7,3g\) và \(m_{H_2SO_4\left(\text{dư}\right)}=0,36.98=35,28g\)
\(m_{dd\text{sau}}=227,4+400-23,3=604,1g\)
\(\rightarrow\hept{\begin{cases}C\%_{HCl}=\frac{7,3}{604,1}.100\%\approx1,21\%\\C\%_{H_2SO_4\left(\text{dư}\right)}=\frac{35,28}{604,1}.100\%=5,84\%\end{cases}}\)
Bài 6:
Sẽ có \(Fe_2O_x\) vì O hoá trị II
PTHH tổng quát:
\(Fe_2O_x+2xHCl\rightarrow2FeCl_x+xH_2O\)
\(m_{ddHCl}=52,14.1,05=54,747g\)
\(\rightarrow m_{HCl}=\frac{54,747.10}{100}=5,4747g\)
Số mol HCl là: \(n=\frac{5,4747}{36,5}=0,15mol\)
Áp dụng đề và lý thiếu ta thiết lập được tỉ lệ sau:
\(\frac{4}{112+16x}=\frac{0,15}{2x}\)
\(\Leftrightarrow4.2x=0,15\left(112+16x\right)\)
\(\Leftrightarrow8x=16,8+2,4x\)
\(\Leftrightarrow8-2,4x=16,8\)
\(\Leftrightarrow x=3\)
Lúc này thay X=3 được\(Fe_2O_3\)