Tìm tất cả các số nguyên n để:

a) \(\left(2n^2+n-7\right)\) ⋮\(\left(n-2\right)\)

b) \(\left(10n^2+n-10\right)\) ⋮\(\left(n-1\right)\)

c) \(\left(3n^3+10n^2-5\right)\) ⋮\(\left(3n+1\right)\)

d) \(\left(n^3-3n^2-3n-1\right)\)⋮\(\left(n^2+n+1\right)\)

Choose the underlined word/phrase that needs to be corrected.

1. Ultraviolet rays are invisible to humans, and ants and honeybees are sensitive to them.

2. Lunar eclipses happen only if the Moon is full, but they do not occur at an every full Moon.

3. A paragraph is a portion of a text consists of one or more sentences related to the same idea.

4. In famouse experiment conducted at the University of Chicago in 1983, rats kept from sleeping died after two and a half weeks.

5. Penicillin is perhaps the drug what has saved more lives than any other in the history of medicine.

Choose the underlined word/phrase that needs to be corrected.

6. Seahorses spend much of their time clung with their tails to underwater plants.

7. Mrs. Stevens, along with her cousins from New Mexico, are planning to attend the festivities.

8. The professor had already given the homework assignment when he had remembered that Monday was a holiday.

9. In years scientists have been warning that the ever-increasing emissions of carbon dioxide will warm the globe with disastrous consequences.

10. Most educators today consider computer literacy being a necessary addition to the basic scholastic requirements.

Choose the underlined word/phrase that needs to be corrected.

1. Janet is finally used to cook on an electric stove after having a gas one for so long.

2. Lightly, sandy soil absorbs water more quickly than clay or loam.

3. Can you shed any light on the reason of his appalling behaviour?

4. The old railway station has now been turned in a very smart restaurant.

5. All the blood in the body passes through the heart at least twice the minute.

Choose the word whole stress pattern is different from the others.

1. A. birthmark B. anthem C. guidance D. immense

2. A. repetitious B. curriculum C. historical D. grammatical

3. A. devastate B. departure C. desolate D. desperate

4. A. manage B. machine C. maintain D. arrive

5. A. voluntary B. compulsory C. necessary D. stationary

Cho hình bình hành ABCD có ∠A = \(120^0\); AB = 2AD.

a) Chứng minh tia phân giác của ∠D cắt AB tại trung điểm E của AB.

b) Chứng minh AD ⊥ AC.