: Cho hình tam giác ABCcó AB= 6cm, AC=8cm, BC=10cm
a) Chứng minh hình ABC vuông
b) Tính tỉ số lượng giác của gốc B,từ đó suy ratỉ số lượng giác của góc C.
BÀI GIẢI
: Cho hình tam giác ABCcó AB= 6cm, AC=8cm, BC=10cm
a) Chứng minh hình ABC vuông
b) Tính tỉ số lượng giác của gốc B,từ đó suy ratỉ số lượng giác của góc C.
BÀI GIẢI
EXERCISE 11
Dear Dr Johnson,
1. Thank you/ much/ letter/ invite me/ speak/ students/ careers/ airline industry.
2. I/ delight/ come/ answer/ questions/ students have.
3. Generally/ find/ best/ start/ show/ video film/ follow/ discussion.
4. Also/ have/ wide selection/ information leaflets/ bring/ give/ any students/ interested.
5. You/ suggest/ any day/ last week/ March/ suitable
6. I/ afraid/ be/ conference/ Lima/ then.
7. However, I/ manage/ come/ 2-10 April.
8. Please let me/ know/ which/ these dates/ convenient
9. I/ look/ hear/ you.
Yours sincerely,
EXERCISE 12
Dear Sir,
1. I/ write/ reply/ advertisement/ yesterday’s ‘Evening Guarduan’.
2. In it/ you/ say/ look/ secretary/ good typing skills/ fluent/ French/ English.
3. I/ just complete/ two-year bilingual secretarial course/ local/ college. 4. At/ end/ course/ pass/ all/ exams/ good marks.
5. Before/ start/ it/ spend/ year/ France/ live/ French family.
6. While/ be there/ learn/ speak/ French/ fluent.
7. I/ grateful/ you/ send/ more information/ job/ application form.
8. I/ look/ hear/ you.
Yours faithfully,
EXERCISE 13
Dear Julian,
1. I/ write/ let/ know/ what/ do/ get/ attendance certificate/ from college. 2. First/ must/ office/ know/ by/ next Monday/ if/ want one.
3. They/ not hand out/ automatically/ because you/ have/ go all your classes.
4. Also/ have/ on time/ and/ do/ all/ homework/ properly.
5. If/ not able/ do/ all this/ must write/ explain/ what/ special/ your situation.
6. I/ sure/ they/ understand/ in / case.
7. Let/ know/ I/ do/ anything else.
All the best,
EXERCISE 14
Dear Pat,
1. I know/ you/ recipes/ food/ you/ prepare/ before/ visitors/ arrive.
2. I/ suggest/ do/ rice salad/ which/ easy/ make/ and/ tasty/ but/ not/ too expensive.
3. All/ need/ be/ lots/ colourful vegetables/ like carrots/ peppers, some onion, cut/ small chunks/ rice/ salad dressing.
4. Next/ use/ large/ heavy pan/ soften/ vegetables/ oil/ or butter/ five minutes.
5. Then/ add water/ rice/ salt/ cook/ until/ rice/ done.
6. Meanwhile/ make/ salad dressing/ mix/ lemon juice/ or vinegar/ with oil/ mustard/ pepper.
7. Rinse/ rice and vegetables/ hot water/ then/ before/ cool/ add/ dressing/ stirring well.
8. This/ also/ very good/ if/ add/ chopped nuts/ eggs or cheese/ same time/ dressing.
9. I/ hope/ enjoy/ cooking.
Love,
EXERCISE 15
Dear Prof. Richardson,
1. I/ write/ tell/ I find/ computer course/ too difficult/ me.
2. I/ want/ know whether/ choose/ easier.
3. Since/ students/ arts/ and/ not/ know much/ maths/ find/ difficult/ difficult/ understand/ many terms and figures/ computer course/ let alone/ remember.
4. I/ know/ important/ course/ be/ but/ simply/ cannot develop/ interest/ it.
5. In fact/ have/ doze/ class/ no matter/ hard/ try/ concentrate.
6. I/ feel/ miserable/ this.
7. Get out/ embarrassing situation/ like/ choose/ less/ challenging course.
8. I/ forward/ your decision.
Yours sincerely,
EXERCISE 16
Dear Sir,
1. Although/ I / not/ the habit/ write letters/ newspaper/ I/ feel/ inform/ your readers/ excellent meal/ I and my family/ the Station Restaurant/ yesterday evening.
2. As/ know/ this restaurant/ be/ new management/ and/ curious/ find out/ if/ food and service/ improved.
3. From among/ many/ appetizing dishes/ menu/ choose/ day’s special roast lamb/ mint sauce.
4. This/ come/ minestrone soup/ and/ follow/ ice-cream.
5. Complimentary cup/ coffee/ round off/ dinner.
6. Atmosphere/ main dining room/ very pleasant/ helpful attitude/ waitresses.
7. Last/ not least/ prices/ items/ offer/ most reasonable.
8. All/ all/ I/ no hesitation/ recommend/ the Station Restaurant/ other families/ enjoyable evening.
Yours
EXERCISE 17
Dear Sir,
1. I/ prepare/ birthday party/ friend/ and / wish/ inquire/ your restaurant/ private rooms/ catering service/ hire.
2. If so/ like/ reserve/ one room/ next Thursday/ January 17th/ 5 p.m/ 8 p.m.
3. Room/ be/ large/ accommodate/ 50 people/ comfortably.
4. As/ celebration/ be/ cocktail party style/ and/ most people/ stand/ most/ time/ only about ten chairs/ need.
5. Addition/ like/ order/ buffet/ both/ hot/ cold/ dishes.
6. If/ room/ not/ bar/ perhaps/ drinks table/ set up/
7. Entertainment/ karaoke/ would/ acceptable.
8. By/ way/ as/ weather/ cold/ that evening/ cloakroom arrangements/ should/ make/ safekeeping/ hats and coats.
Yours truly,
EXERCISE 18
Dear Sam,
1. Thanks/ letter/ tell/ you/ coming/ London.
2. I/ glad/ you/ come at last/ you/ think/ we/ able meet up?
3. I/ understand/ you/ a bit/ worried/ as / never forget/ first trip/ abroad. 4. Anyway/ you ask/ some advice/ and/ here/ go!
5. First/ all/ pack/ warm clothes/ in case/ turn/ cold
6. You/ never know/ weather/ going/ like/ even summer.
7. And/ definitely/ worth/ bring/ umbrella.
8. As far/ money/ concerned/ golden/ rule/ be not/ carry/ too much/ you. 9. Finally/ banks/ restaurants/ open/ close/ rather/ strange times/ and/ public/ transport/ be/ unreliable.
10. Give/ ring/ when/ arrive.
Love,
EXERCISE 19
Dear Mr. Wood,
1. I/ be/ headmaster/ Bradham Grammar/ you/ study/ 1960-67.
2. We/ just finish/ build/ new swimming pool.
3. I/ write/ ask/ if/ you/ perform/ official opening.
4. This/ be/ Friday/ October 10th/ three o'clock/ afternoon.
5. I/ not know/ if/ you / Britain/ date/ whether/ have time.
6. I/ realize/ you / be/ extremely/ busy/ I/ be/ most grateful/ if / able/ attend
7. I/ look forward/ hear/ you.
Yours sincerely,
EXERCISE 20 Dear Sir,
1. I/ write/ complain/ recent skiing holiday/ book/ your company.
2. From/ first day/ everything/ wrong.
3. Hotel/ I/ stay/ very disappointing/ no room service/ nothing/ seem/ properly.
4. What/ worse/ be/ resort/ not suitable/ beginners/ me.
5. On/ third day/ bring/ complaints/ attention/ your representative/ say/ look into them.
6. Nothing/ happen/ day/ before/ leave/ I/ give/ special room.
7. I/ not satisfy/ holiday/ service/ receive/ representative.
8. I/ now write/ ask/ full refund.
9. I/ forward/ receive/ cheque/ $850/ you.
Yours faithfully,
Cho tam giác ABC vuông tại A và có đường cao AH, tính các đoạn thẳng còn lại biết: AC=40cm, AH=24cm
Xét ΔAHC vuông tại H có
\(AC^2=AH^2+HC^2\)
nên HC=32(cm)
Xét ΔABC vuông tại A có AH là đường cao ứng với cạnh huyền BC, ta được:
\(AH^2=HB\cdot HC\)
hay HB=18(cm)
Ta có: BC=HB+HC
nên BC=50(cm)
Xét ΔABH vuông tại H có
\(AB^2=BH^2+AH^2\)
hay AB=30(cm)
b: Xét ΔAHB vuông tại H có HE là đường cao ứng với cạnh huyền AB
nên \(AE\cdot AB=AH^2\left(1\right)\)
Xét ΔAHC vuông tại H có HF là đường cao ứng với cạnh huyền AC
nên \(AF\cdot AC=AH^2\left(2\right)\)
Từ (1) và (2) suy ra \(AE\cdot AB=AF\cdot AC\)
Bài 4:
a: Xét ΔBAC vuông tại A có
\(BC^2=AB^2+AC^2\)
hay BC=10(cm)
Xét ΔBCA vuông tại A có AH là đường cao ứng với cạnh huyền BC
nên \(AH\cdot BC=AB\cdot AC\)
hay AH=4,8(cm)
giúp em với ạ
https://hoc24.vn/cau-hoi/bai-4-cho-tam-giac-abc-vuong-tai-a-duong-cao-ah-h-bca-biet-ab-12cm-bc-20cm-tinh-ac-b-ah-goc-lam-tron-den-dob-ke-he-vuong-go.264838759646
Chứng minh đẳng thức sau đúng:
\(\dfrac{\tan x}{1-\tan^2x}.\dfrac{\cot^2-1}{\cot x}=1\)
Câu này bạn đã đăng một lần thì lưu ý lần sau không đăng lặp nữa.
Cho tam giác DEF biết DE = 6 cm, DF = 8 cm, EF = 10cm.
a) Cmr : Tam giác DEF là tam giác vuông
b) Vẽ DK là đường cao. Tính DK và FK
c) Giải tam giác EDK
d) Vẽ phân giác trong EM của góc DEF. Tính MD, MF, ME.
e) Tính sin F trong các tam giác vuông DFK và DEF. Từ đó suy ra : ED . DF = DK . EF
a: Xét ΔDEF có \(EF^2=DE^2+DF^2\)
nên ΔDEF vuông tại D