Giải các phương trình:

a) x + 1 3 x − 2 = 0 ;                      b) x 2 + 1 2 x − 5 = 0 ;

c) x 2 2 x − 3 − 9 2 x − 3 = 0 ;            d) 2 x 2 − 3 x + 1 = 0 .

Cho hình vẽ sau. Hãy điền vào chỗ trống (…..)

a, Các cặp góc so le trong là ……

b, Các cặp góc đồng vị là ………

c,Các cặp góc trong cùng phía là ….

d, Các cặp góc đối đỉnh là ………..

Cho hình vẽ,hãy nối mỗi câu ở cột A vối mỗi câu ở cột B để được khẳng định đúng:

Giá trị của n đế biểu thức A = 3 x n - 1 y 6 z 5  chia hết cho biểu thức B = 1 4 x 5 z n - 1  là:

Cho tam giác ABC vuông tại A, đường cao AH. Vẽ đường tròn (O) đường kính BH và đường tròn tâm O' đường kính CH, hai đường tròn này cắt AB, AC thứ tự tại E và F

a, Tứ giác AEHF là hình gì?

b, Chứng minh EF là tiếp tuyến chung của (O) và (O’)

c, Chứng minh đường tròn đường kính OO' tiếp xúc với EF

d, Cho đường tròn tâm I bán kính r tiếp xúc với EF, (O) và (O’). Tính r theo BH và CH?

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct answer to each of the questions from 17 to 24.

The difference between the nuclear family and the extended family is that a nuclear family refers to a single basic family unit of parents and their children, whereas the extended family refers to their relatives such as grandparents, in-laws, aunts and uncles, etc. In many cultures, and particularly indigenous societies, the latter is the most common basic form of social organization.

 A nuclear family is limited, according to Kristy Jackson of Colorado State University, to one or two parents (e.g. a father and mother) and their own child, or children, living together in a single house or other dwellings. In anthropology, they only must be related in this fashion; there is no upper or lower limit on the number of children in a nuclear family.

 The extended family is a much more nebulous term, but in essence refers to kin or relations not covered by the above definition. In historical Europe and Asia as well as in Middle Eastern, African, and South American Aboriginal cultures, extended family groups were typically the most basic unit of social organization. The term can differ in specific cultural settings, but generally includes people related in age or by lineage. Anthropologically, the term “extended family” refers to such a group living together in a household, often with three generations living together (grandparents, parents, and children) and headed in patriarchal societies by the eldest man or by some other chosen leadership figure. However, in common parlance, the term “extended family” is often used by people simply to refer to their cousins, aunts, uncles, and so on, even though they are not living together in a single group.

Historically, most people in the world have lived in extended family groupings rather than in nuclear families. This was even true in Europe and in the early United States, where multiple generations often lived together for economic reasons. During the 20th century, average income rose high enough that living apart as nuclear families became a viable option for the vast majority of the American population. In contrast, many indigenous societies and residents of developing countries continue to have multiple generations living in the same household. The rise of the nuclear family in the modern West does not necessarily mean that family arrangements have stabilized, either. The rapid growth in single-parent households, for instance, also represents a substantial change in the traditional nuclear family. More couples are also choosing not to have children at all.

According to the passage, single-parent households ______.

A. are not defined by anthropologists

B. are the existing trend of family arrangement

C. are included in the term “nuclear family”

D. are on the decrease

Cho tứ  giác ABCD nội tiếp đường tròn (O; R). Gọi I là giao điểm AC và BD. Kẻ IH vuông góc với AB; IK vuông góc với AD ( H ∈ A B ; K ∈ A D ).

a) Chứng minh tứ giác AHIK nội tiếp đường tròn.

b) Chứng minh rằng IA.IC = IB.ID.

c) Chứng minh rằng tam giác HIK và tam giác BCD đồng dạng.

d) Gọi S là diện tích tam giác ABD, S^’ là diện tích tam giác HIK. Chứng minh  rằng:     S ' S ≤ H K 2 4. A I 2       

Mark the letter A, B, C, or D on your answer sheet to indicate the underlined part that needs correction in each of the following questions.

Although pure diamond is colourless and transparent, but when contaminated with other material it may appear in various colours, ranging from pastels to opaque.

A.colourless

B.but

C.contaminated

D.ranging

There's a pretty little fishing village      ______

A. by the sea

B. on the sand

C. on the beach

D. by the shore

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct answer to each of the following questions.

  It’s often said that we learn things at the wrong time. University students frequently do the minimum of work because they’re crazy about a good social life instead. Children often scream before their piano practice because it’s so boring. They have to be given gold stars and medals to be persuaded to swim, or have to be bribed to take exams. But the story is different when you’re older.

  Over the years, I’ve done my share of adult learning. At 30,1 went to a college and did courses in History and English. It was an amazing experience. For starters, I was paying, so there was no reason to be late - I was the one frowning and drumming my fingers if the tutor was late, not the other way round. Indeed, if I could persuade him to linger for an extra five minutes, it was a bonus, not a nuisance. I wasn’t frightened to ask questions, and homework was a pleasure not a pain. When I passed an exam, I had passed it for me and me alone, not for my parents or my teachers. The satisfaction I got was entirely personal.

  Some people fear going back to school because they worry that their brains have got rusty. But the joy is that, although some parts have rusted up, your brain has learnt all kinds of other things since you were young. It has learnt to think independently and flexibly and is much better at relating one thing to another. What you lose in the rust department, you gain in the maturity department.

  In some ways, age is a positive plus. For instance, when you’re older, you get less frustrated. Experience has told you that, if you’re calm and simply do something carefully again and again, eventually you’ll get the hang of it. The confidence you have in other areas - from being able to drive a car, perhaps - means that if you can’t, say, build a chair instantly, you don’t, like a child, want to destroy your first pathetic attempts. Maturity tells you that you will, with application, eventually get there.

          I hated piano lessons at school, but I was good at music. And coming back to it, with a teacher who could explain why certain exercises were useful and with musical concepts that, at the age of ten, I could never grasp, was magical. Initially, I did feel a bit strange, thumping out a piece that I’d played for my school exams, with just as little comprehension of what the composer intended as I’d had all those years before. But soon, complex emotions that I never knew poured out from my fingers, and suddenly I could understand why practice makes perfect.

It is implied in paragraph 1 that __________.

A. young learners are usually lazy in their class

B. teachers should give young learners less homework

C. young learners often lack a good motivation for learning

D. parents should encourage young learners to study more