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1 If you don't finish your homework, you can't go out with your friend
2 They are not sure how to operate the new system
3 I spent 4 hours reading the first chapter of the book
4 Tennis is not as dangerous as snowboarding
X
1 to go to school by bike when they were young
2 teaching her children to play the piano 4 years ago
3 I could cook as well as my mom
4 using Perfume Pagoda as the theme of the presentation
Bài 5 hình 1: (tự vẽ hình nhé bạn)
a) Xét ΔABD và ΔACB ta có:
\(\widehat{BAD}\)= \(\widehat{BAC}\) (góc chung)
\(\widehat{ABD}\)= \(\widehat{ACB}\) (gt)
=> ΔABD ~ ΔACB (g-g)
=> \(\dfrac{AB}{AC}\) = \(\dfrac{BD}{CB}\) = \(\dfrac{AD}{AB}\) (tsđd)
b) Ta có: \(\dfrac{AB}{AC}\) = \(\dfrac{AD}{AB}\) (cm a)
=> \(AB^2\) = AD.AC
=> \(2^2\) = AD.4
=> AD = 1 (cm)
Ta có: AC = AD + DC (D thuộc AC)
=> 4 = 1 + DC
=> DC = 3 (cm)
c) Xét ΔABH và ΔADE ta có:
\(\widehat{AHB}\) = \(\widehat{AED}\) (=\(90^0\))
\(\widehat{ADB}\) = \(\widehat{ABH}\) (ΔABD ~ ΔACB)
=> ΔABH ~ ΔADE
=> \(\dfrac{AB}{AD}\) = \(\dfrac{AH}{AE}\) = \(\dfrac{BH}{DE}\) (tsdd)
Ta có: \(\dfrac{S_{ABH}}{S_{ADE}}\) = \(\left(\dfrac{AB}{AD}\right)^2\)= \(\left(\dfrac{2}{1}\right)^2\)= 4
=> đpcm
Tiếp bài 5 hình 2 (tự vẽ hình)
a) Xét ΔABC vuông tại A ta có:
\(BC^2\) = \(AB^2\) + \(AC^2\)
\(BC^2\) = \(21^2\) + \(28^2\)
BC = 35 (cm)
b) Xét ΔABC và ΔHBA ta có:
\(\widehat{BAC}\) = \(\widehat{AHB}\) ( =\(90^0\))
\(\widehat{ABC}\) = \(\widehat{ABH}\) (góc chung)
=> ΔABC ~ ΔHBA (g-g)
=> \(\dfrac{AB}{BH}\) = \(\dfrac{BC}{AB}\) (tsdd)
=> \(AB^2\) = BH.BC
=> \(21^2\) = 35.BH
=> BH = 12,6 (cm)
c) Xét ΔABC ta có:
BD là đường p/g (gt)
=> \(\dfrac{AD}{DC}\) = \(\dfrac{AB}{BC}\) (t/c đường p/g)
Xét ΔABH ta có:
BE là đường p/g (gt)
=> \(\dfrac{HE}{AE}\) = \(\dfrac{BH}{AB}\) (t/c đường p/g)
Mà: \(\dfrac{AB}{BC}\) = \(\dfrac{BH}{AB}\) (cm b)
=> đpcm
d) Ta có: \(\left\{{}\begin{matrix}\widehat{HBE}+\widehat{BEH}=90^0\\\widehat{ABD}+\widehat{ADB=90^0}\\\widehat{HBE}=\widehat{ABD}\end{matrix}\right.\)
=> \(\widehat{BEH}=\widehat{ADB}\)
Mà \(\widehat{BEH}=\widehat{AED}\) (2 góc dd)
Nên \(\widehat{ADB}=\widehat{AED}\)
=> đpcm
Y chứa NaOH, NaAlO2
Gọi số mol NaOH, NaAlO2 trong mỗi phần là x, y (mol)
TN1:
\(n_{HCl}=0,1.1=0,1\left(mol\right)\)
PTHH: NaOH + HCl --> NaCl + H2O
0,1<----0,1
=> x = 0,1 (mol)
TN3: nHCl = 0,75.1 = 0,75 (mol)
PTHH: NaOH + HCl --> NaCl + H2O
0,1--->0,1
NaAlO2 + HCl + H2O --> NaCl + Al(OH)3
y------>y------------------------>y
Al(OH)3 + 3HCl --> AlCl3 + 3H2O
\(\dfrac{0,65-y}{3}\)<-(0,65-y)
=> \(n_{Al\left(OH\right)_3\left(3\right)}=y-\dfrac{0,65-y}{3}=\dfrac{4y-0,65}{3}\left(mol\right)\)
TN2: \(n_{HCl}=1.0,45=0,45\left(mol\right)\)
- Nếu kết tủa không bị hòa tan:
PTHH: NaOH + HCl --> NaCl + H2O
0,1--->0,1
NaAlO2 + HCl + H2O --> NaCl + Al(OH)3
0,35<--0,35-------------------->0,35
Điều kiện: y \(\ge\) 0,35
=> \(n_{Al\left(OH\right)_3\left(2\right)}=0,35\left(mol\right)\)
Do \(n_{Al\left(OH\right)_3\left(2\right)}=3.n_{Al\left(OH\right)_3\left(3\right)}\)
=> \(0,35=4y-0,65\)
=> y = 0,25 (Loại)
=> Kết tủa bị hòa tan 1 phần
PTHH: NaOH + HCl --> NaCl + H2O
0,1--->0,1
NaAlO2 + HCl + H2O --> NaCl + Al(OH)3
y---->y------------------------->y
Al(OH)3 + 3HCl --> AlCl3 + 3H2O
\(\dfrac{0,35-y}{3}\)<--(0,35-y)
=> \(n_{Al\left(OH\right)_3\left(2\right)}=y-\dfrac{0,35-y}{3}=\dfrac{4y-0,35}{3}\left(mol\right)\)
Do \(n_{Al\left(OH\right)_3\left(2\right)}=3.n_{Al\left(OH\right)_3\left(3\right)}\)
=> \(\dfrac{4y-0,35}{3}=4y-0,65\)
=> y = 0,2
Vậy trong Y chứa \(\left\{{}\begin{matrix}NaOH:0,3\left(mol\right)\\NaAlO_2:0,6\left(mol\right)\end{matrix}\right.\)
Bảo toàn Na: nNa = 0,9 (mol)
Bảo toàn Al: nAl = 0,6 (mol)
=> m = 0,9.23 + 0,6.27 = 36,9 (g)
Y chứa NaOH, NaAlO2
Gọi số mol NaOH, NaAlO2 trong mỗi phần là x, y (mol)
TN1:
nHCl=0,1.1=0,1(mol)nHCl=0,1.1=0,1(mol)
PTHH: NaOH + HCl --> NaCl + H2O
0,1<----0,1
=> x = 0,1 (mol)
TN3: nHCl = 0,75.1 = 0,75 (mol)
PTHH: NaOH + HCl --> NaCl + H2O
0,1--->0,1
NaAlO2 + HCl + H2O --> NaCl + Al(OH)3
y------>y------------------------>y
Al(OH)3 + 3HCl --> AlCl3 + 3H2O
0,65−y30,65−y3<-(0,65-y)
=> nAl(OH)3(3)=y−0,65−y3=4y−0,653(mol)nAl(OH)3(3)=y−0,65−y3=4y−0,653(mol)
TN2: nHCl=1.0,45=0,45(mol)nHCl=1.0,45=0,45(mol)
- Nếu kết tủa không bị hòa tan:
PTHH: NaOH + HCl --> NaCl + H2O
0,1--->0,1
NaAlO2 + HCl + H2O --> NaCl + Al(OH)3
0,35<--0,35-------------------->0,35
Điều kiện: y ≥≥ 0,35
=> nAl(OH)3(2)=0,35(mol)nAl(OH)3(2)=0,35(mol)
Do nAl(OH)3(2)=3.nAl(OH)3(3)nAl(OH)3(2)=3.nAl(OH)3(3)
=> 0,35=4y−0,650,35=4y−0,65
=> y = 0,25 (Loại)
=> Kết tủa bị hòa tan 1 phần
PTHH: NaOH + HCl --> NaCl + H2O
0,1--->0,1
NaAlO2 + HCl + H2O --> NaCl + Al(OH)3
y---->y------------------------->y
Al(OH)3 + 3HCl --> AlCl3 + 3H2O
0,35−y30,35−y3<--(0,35-y)
=> nAl(OH)3(2)=y−0,35−y3=4y−0,353(mol)nAl(OH)3(2)=y−0,35−y3=4y−0,353(mol)
Do nAl(OH)3(2)=3.nAl(OH)3(3)nAl(OH)3(2)=3.nAl(OH)3(3)
=> 4y−0,353=4y−0,654y−0,353=4y−0,65
=> y = 0,2
Vậy trong Y chứa {NaOH:0,3(mol)NaAlO2:0,6(mol){NaOH:0,3(mol)NaAlO2:0,6(mol)
Bảo toàn Na: nNa = 0,9 (mol)
Bảo toàn Al: nAl = 0,6 (mol)
=> m = 0,9.23 + 0,6.27 = 36,9 (g)
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
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