Cho tam giác ABC, đường cao AH. Trên nửa mặt phẳng chứa A bờ CB lấy các điểm D và E sao cho tam giác ABD và ACE vuông cân tại B và C. Trên tia đối tia AH lấy K sao cho AK=BC. Chứng minh rằng:
a) Tam giác ABK= Tam giác BCD
b) CD vuông góc với BK ; BE vuông góc với CK
c) Ba đường thẳng AH, BE, CD đồng quy
CẢM ƠN BẠN ĐÃ GIÚP ĐỠ
Cho tam giác ABC (AB<AC) lấy D thuộc AB, E thuộc cạnh AC sao cho BD=CE .Gọi M,N theo thứ tự là trung điểm của BC, DE
a) CMR: MN song song với tia phân giác góc A
b) Đường thẳng MN cắt AB, AC tại K và I .CMR: Tam giác AIK là tam giác cân
c) Trên tia AB, AC lấy các điểm P và Q sao cho AP+AQ = m không đổi. CMR: Đường trung trực của PQ luôn đi qua 1 điểm cố định.
CẢM ƠN VÌ ĐÃ GIÚP
Cho tam giác ABC vuông tại A, đường phân giác BE. Kẻ EK vuông góc
với BC (KBC).
a. Chứng minh EA = EK.
b. Gọi H là hình chiếu của C trên BE. Vẽ điểm D sao cho H là trung điểm của DE.
Chứng minh góc CDE bằng góc CED, từ đó so sánh góc CDE và góc AEB?
c. So sánh CD và CB?
d. Tìm điều kiện của tam giác ABC để góc DCA = 2.góc ACB?
DỊCH HỘ MÌNH NHÉ
POPPY DAY
POPPY DAY , 11 November, is the day when people in Britain remember the soldiers that died in the First World War (1914 – 1918), the Second World War (1939 – 1945) and all other wars since. The first Poppy Day was in 1921. The First World War had ended three years earlier, but it was still very difficult, even impossible, for ex-soldiers in Britain to find employment. So some of them started making and selling red paper poppies. They gave the money that they raised to ex-soldiers who were disabled or unemployed, and to the families of soldiers who had died. The choice of flower was significant. During the war, the soldiers had noticed poppies growing every year on the battlefields in Belgium and the north of France. A well – known poem from that time, written by a Canadian soldier, begin with the lines:
In Flanders* fields the poppies blow
Between the crosses, row on row,
That mark our place*; …
In the days leading up to Poppy Day, about 32 million people in Britain buy and wear small poppies. Some people choose to wear white poppies because they think that white symbolizes peace. Then, at 11 a.m. on 11 November (at the moment when the First World War ended) there’s a two – minute silence. Many people stop and think quietly about the soldiers who died. There are ceremonies at war memorials in towns and villages all over the country. The most important ceremony is in London, when the Queen and the Prime Minister lay wreaths of poppies at the Cenotaph, a monument to soldiers who died in battle.
*(Flanders = the north of Belgium; our place = our graves)
I. Find the word which has a different sound in the part underlined
1. A. nurse B. surf C. picture D. return
2. A. hot B. hour C. hotel D. hobby
3. A.knife B.of C.leaf D. life
4. A.although B.enough C.paragraph D. cough
5. A.junk B.sun C.put D. adult
II. Put the verbs in the correct form.
1. School children (wear) __________ uniform on Monday.
2. __________ You (be) __________ to the zoo ?
3. They (not be) __________ doctors.
4. She (not go) __________ to school since last Sunday.
5. Mary (walk) __________ to work on foot yesterday.
III. Choose the best answer to complete the sentences by circling A, B, C or D.
1. ................sandwiches are there in your bag?
A. How much B. How often C. How many D. How far
2. There ….............bottles of mineral water in the fridge.
A. aren’t some B. are any C. are some D. is some
3. On the table there were vegetables, bread and two large _________
A. bowl of soup B. bowls of soup C. bowl of soups D. bowls of soups
4. She’s got ……….nice photo of her class.
A. an B. a C. some D. any
5. .................. pepper does she want?
A. How much B. How often C. How many D. How long
6. My dad enjoys ________ his bike to work.
A. to ride B. ride C. rides D. riding
7. Laughing is good _______ your health.
A. for B. to C. with D. of
8. My friend likes photography, and I like it ………….
A. so B. neither C. either D. too
9. How about………….. a water puppet show?
A. to watch B. watched C. watch D. watching
10. Would you like.................................with us, Mai?
A. have lunch B. having lunch C. to have lunch D. to have a lunch
IV. Choose the correct answer to complete the passage by circling A, B, C or D
Camping is an activity in which people live (23)………..temporarily. Campers participate in fishing, hunting, swimming, wildlife watching, plant study, and nature photography. It provides bodily benefits when it involves hiking to, from and around a campsite, and many people believe that camping makes youngsters (24)…………more confident. Camping is suitable (25) ………….those who are in wholesome physical condition because it may require walking several times. The key to an enjoyable camping is planning because planning the trip before leaving helps (26)………..avoid preventable accidents such as bad weather, injury, or simply a crowded campsite.
1. A. upstairs B. downstairs C. inside D. open-air
2. A. help B. handle C. feel D. thumb
3. A. in B. for C. at D. on
4. A.campers B. groups C. parties D. cliques
V. Make sentences from the words/ phrases given.
1. We/ keep/ our bodies/ warm/ avoid/ flu/ a cold.
..............................................................................................................
2. You/ not/ play/ more/ computer games/ free time
. ..............................................................................................................
3. Vitamins/ play/ important/ role/ our diet.
..............................................................................................................
4. Getting/ enough/ rest/ help/ you/ concentrate/ school.
..............................................................................................................
5. Doctor/ asking/ Huy / questions/ about/ health problems. ..............................................................................................................
6. Schools in Viet Nam / different/ schools/ the USA.
..............................................................................................................
VI. Read the passage then answer the questions. People in my city love good food and they often eat three meals a day – breakfast, lunch and dinner. At about seven in the morning, they usually have a light breakfast with a bowl of pho or eel soup with some slices of toast. Sometimes they have a bowl of instant noodles or a plate of sticky rice before going to work. Lunch often starts at about 11.30, and most of them have lunch at home. They often have rice, fish, meat, and vegetables for lunch. Dinner often starts at about 8.00 in the evening. It is the main meal of the day. People in my city often have rice with a lot of fresh vegetables and a lot of seafood or various kinds of meat. Then, they often have some fruit and a glass of green tea. I think food in my city is wonderful. It is light and full of fresh vegetables. It’s healthy and tasty, too.
1. What do people in Nam’s city have for breakfast? …………………………………………………………………………………………
2. What time do they usually have for lunch? …………………………………………………………………………………………
3. Which is the main meal of the day?
…………………………………………………………………………………………
4. Do they have a lot of dishes ?
…………………………………………………………………………………………
5. What do you think about food in your region ? …………………………………………………………………………………………
VII. Odd one out
1. A. guitar B. violin C. saxophone D. artist
2. A. elderly B. grandparents C. nursing home D. orphan
3. A. donate B. rubbish C. blood D. money
VIII. Give the correct form of the words provided.
1. My father’s friend is a great .................................. (PAINT)
2. Many people do volunteer work because it can make a…………………… in their community. (DIFFER)
TEST 02
I. Find the word which has a different sound in the part underlined
1. A. better B. prefer C. teacher D. worker
2. A. near B. hear C. dear D. bear
3. A. concert B. concern C. collect D. combine
II. Odd one out
1. A. sick B. tired C. sore D. fit
2. A. orange juice B. fresh milk C. water D. soft drinks
III. Choose the best answer A, B, C or D
1. You need to be __________ to follow eggshell carving because it may take two weeks to complete one shell.
A. fit B. patient C. careful D. interested
2. My sister is very keen on swimming, and she goes swimming three __________ a week.
A. time B. a time C. times D. timings
3. If you choose sewing as your hobby, you will __________ you own clothes.
A. make B. get C. do D. take
4. We often read the instructions carefully in order to make ______ of the things we like best.
A. models B. copies C. uses D. meanings
5. What does your father do __________ his free time?
A. in B. at C. while D. on
6. I think a hobby will always give you __________ and help you __________.
A. pleased – relaxing C. pleasure – relaxed B. pleased – relax D. pleasure – relax
7. My brother doesn’t like ice-skating because he thinks it is __________ .
A. dangerous B. danger C. in danger D. endangered
8. My sister’s hobby is sewing, and she can get the sewing patterns from the_____ magazines.
A. fashion B. sports C. science D. cooking
9. You can share your stamps __________ other collectors __________ a stamp club.
A. with – at B. with – in C. to – in D. to – at
10. If your hobby is greeting card making, you can give your __________ to your friends as presents.
A. money B. hobby C. products D. greetings
IV. Choose the correct word marked A, B, or C fill each blank in the following passage.
HOBBY There are many reasons (1)________ it is important to have a hobby. First of all, a hobby can be a remedy for your (2)________. Because it is the activity you choose for yourself, it will always give you pleasure and (3)________ you relax. Even if you just spend a little time enjoying your hobby, you can see the difference (4)________ your spirit. Second, some hobbies can also (5)________ you financially. Many old people enjoy gardening. They grow a lot of trees and vegetables, so they can sell them for some money. In (6)________, a hobby can help you connect with other people. If you like collecting stamps, you can (7)________ a stamp club to share your albums with other collectors. If your hobby is carving eggshells, you can give your products to your friends (8)________ gifts.
1. A . for B. why C. because
2. A .happiness B . pain C. tiredness
3. A. help B. have C. do
4. A. for B. in C. on
5. A. harm B. give C. benefit
6. A. addition B. general C. conclusion
7. A.take part B. go C. join
8. A. like B. as C. for
V. Give the correct form of the words provided.
1. I think staying at home all day is ____________ because I don’t know what to do. (BORE)
2. It is _______________ to eat a lot of sweetened food and drinks. (HEALTH)
VI. Reorder the words to make sentences.
1. children/ cookies/ milk. / and/ like/ most
..............................................................................................................
2. like/ I/ don’t/ coffee/ I/ like tea./ , but
..............................................................................................................
3. Ha Noi/ homeless/ give/ in/ clothes/ away/ they/ warm/ to/ people. ..............................................................................................................
4. vacation/ since/ we/ haven’t/ last/ had/ a/ year.
..............................................................................................................
5. printer/ under/ this/ guarantee/ is.
..............................................................................................................
VII. Rewrite these sentences, using the words in brackets.
1. Hoa and Tim are both 13 year old. (THE SAME……..AS) → Tim is…………………………………………………………………………………
2. Khanh is a better painter than Giang. (AS WELL AS) → Giang can’t …………………………………………………………………………..
3. Her book is not the same as mine. (DIFFERENT FROM) → Her book is …………………………………………………………………………….
4. I enjoy listening to pop music best. (FAVOURITE) → Pop music …………………………………………………………………………….
5. We have learned English for 3 years. (AGO) → We started …………………………………………………………………………..