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Từ một điểm A ở ngoài đường tròn (O) vẽ tiếp tuyến AT và cát tuyến ABC với đường tròn (B nằm giữa A và C). Gọi H là hình chiếu của T trên OA . Chứng minh rằng: a) AT²=AB.AC b) AB.AC= AH.AO c) Tứ giác OHBC nội tiếp.

Các bạn trả lời nhanh đc ko ạ. Mình cần gấp

Complete the following sentences with the words in brackets. 29. The rules of this club are very strict; if you (break) _______________ them, you are asked to leave. 30. He will never get promoted unless he (learn) _______________ to be more polite to customers. 31. If you really want me to, I (take) _______________ the dog to the vet. 32. Her father will be angry if she _______________ to this party. (go) 33. If he _______________ so hard, he will ruin his health. (work) 34. He _______________ English quicker if he goes to England. (learn) 35. Will her ticket still be valid if she _______________ the plane? (miss) 36. I will phone you if I _______________. (not / forget) 37. My parent _______________ me if I am in financial troubles. (not / help) 38. I will allow you to take my car if you _______________slowly. (drive) 39. She will come if she _______________busy. (not / be) 40. If we _______________in groups, we will finish it quicker. (work) 41. You _______________this problem if you read his paper. (solve) 42. They will not work properly unless you _______________them good wages. (pay) 43. What _______________if he does not send the money? (they / do)

Complete the following sentences with the words in brackets. 16. If Andre _______________ (get) a decent job offer, he will settle down here. 17. If My mother _______________ (put aside) enough money, she will buy a new dress for herself. 18. The teacher _______________ (be) very angry if Lucas doesn't hand in his assignment today. 19. Robin _______________ (do) the shopping if I cook dinner. 20. If we don't put on our jackets, we _______________ (catch) cold. 21. If Robin _______________ (have) time on the weekend, he will come to see us. 22. If you _______________ (study) harder, you can pass the exam. 23. Unless you (apologise) _______________, I’ll never talk to you again. 24. If you (pick) _______________ me up from work today, I (buy) _______________ you a drink. 25. If you (boil) _______________ soup, it (spoil) _______________ the flavour. 26. You (get) _______________ one point when you (answer) _______________ a question correctly. 27. I (meet) _______________ you in the square, unless you’d prefer to meet somewhere else. 28. If you (buy) _______________ a car, I (sell) _______________ my motorbike.

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║ For questions 1 - 3, think of one word only which can be used appropriately in all three sentences. 1) We need to give some .................................... consideration to the downturn in our sales and come up with a new marketing strategy. The economic situation is so .................................... that the government has been forced to raise taxes. He seems a real joker, but there's a more .................................... side to him, you know. 2) Francesca and Kate both .................................... a strong resemblance to their brother. Life is too short to .................................. a grudge against your critics. Once you reach the crossroads, .................................... left, and after that, it's the second turning on the right. 3) The police officer warned the boys to keep .................................... of trouble. Sophie isn't at all .................................... about her plans for the future. From this viewpoint, you can see the Rif Mountains on a .................................... day.

Complete the following sentences with the words in brackets. 1. When autumn (come) _______________ , the leaves (fall) _______________ from the trees. 2. He works flexible hours; if there is not much to do, he (come) ______________ home early. 3. If you _______________ (finish) your homework, you can go out. 4. If David _______________ (get) a good grade from his English presentation, I will take him to the movie theater. 5. If there _______________ (be) traffic, we will use the subway. 6. I will go to New York next week if I _______________ (find) a cheap ticket. 7. If you don't accept the offer, you _______________ (regret) it later. 8. If Helen apologizes to me, I _______________ (forgive) her. 9. If Deren _______________ (buy) a car, he will drive us to school. 10. We want to see the White House if we _______________ (visit) Washington. 11. If you don't study regularly, you _______________(fail) in your exams. 12. If David _______________ (arrive) on time, I will be very surprised. 13. If we don't protect the tigers, they _______________ (extinct) soon. 14. You can see better if you _______________ (turn on) the light . 15. If you don't take a cab now, I am afraid we _______________ (be) late for the meeting.

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Một học sinh chia tất cả 30 viên bi vào 5 cái hộp được đánh số 1, 2, 3, 4, 5 (sau khi chia có thể có hộp không có viên bi nào).a) Hỏi có bao nhiêu cách chia các viên bi vào các hộp (hai cách chia là khác nhau nếu có một hộp có số bi trong hai cách chia là khác nhau)? b) Sau khi chia, học sinh này sơn 30 viên bi đó bởi một số màu (mỗi viên được sơn đúng một màu, một màu có thể sơn cho nhiều viên bi), sao cho không có 2 viên bi nào trong cùng một hộp có màu giống nhau và từ 2 hộp bất kỳ không thể chọn ra được 8 viên bi được sơn bởi 4 màu. Chứng minh rằng với mọi cách chia, học sinh đều phải dùng không ít hơn 10 màu để sơn bi.