Cho hàm số: \(f\left( x \right) = \frac{{2x - 1}}{{{x^3} - 4x}}\)
Kết luận nào sau đây là đúng?
Hàm số f(x) liên tục tại điểm x=-2
Hàm số f(x) liên tục tại điểm x=0
Hàm số f(x) liên tục tại điểm x=0,5
Hàm số f(x) liên tục tại điểm x=2
Hãy suy nghĩ và trả lời câu hỏi trước khi xem đáp án
Hàm số đã cho không xác định tại x=0, x=-2, x=2 nên không liên tục tại các điểm đó.
Hàm số liên tục tại x=0,5 vì nó thuộc tập xác định của hàm phân thức f(x).
Đáp án là C
Tài liệu "Bộ Đề Kiểm Tra Học Kì II - Toán 11 - Các Trường THPT Trên Toàn Quốc" tổng hợp các đề kiểm tra từ các trường THPT trên toàn quốc, được biên soạn theo đúng chương trình học. Đề thi bao gồm các dạng bài trắc nghiệm và tự luận, tập trung vào các chủ đề trọng tâm: công nghệ và đời sống, quy trình công nghệ, vật liệu kỹ thuật, và ứng dụng công nghệ trong sản xuất và đời sống. Tài liệu giúp học sinh ôn tập hiệu quả, củng cố kiến thức, rèn luyện kỹ năng và tự tin đạt kết quả cao trong kỳ thi học kỳ I.
Câu hỏi liên quan
Người làm nghề sản xuất thiết bị điện tử thực hiện hoạt động nào sau đây để đảm bảo chất lượng sản phẩm?
Điều không phản ánh đúng tình hình nước ta thế kỷ XVI?
Mâu thuẫn giữa các nước đế quốc “già” và các nước đế quốc “trẻ” cuối thế kỉ XIX - đầu thế kỉ XX chủ yếu là:
Miền Tây Trung Quốc có thế mạnh nào sau đây để phát triển lâm nghiệp và chăn nuôi?
Cho hàm số \(y = a{x^2} + bx + c\) có đồ thị như hình bên dưới. Khẳng định nào sau đây đúng?
Máy tính thực hiện những bước nào để xử lý thông tin?
Read the following passage and mark the letter A, B, C or D on your answer sheet to indicate the best answer to each of the following questions.
Taking Home the World Cup
Standing just 36 centimeters tall, the FIFA World Cup Trophy symbolizes the pinnacle of football achievement. Every four years, teams worldwide compete for it, but no one ever takes the trophy home. Made of 18-carat gold, the original trophy remains under FIFA's protection, with winners receiving only a replica. This measure safeguards it from theft, as the trophy has been stolen twice in its history.
The original trophy was made by a French sculptor, Abel LaFleur, and was called the “Jules Rimet Cup,” in honor of the founder of the World Cup tournament. Sometime during the first three World Cup events (1930, 1934, and 1938), the name changed to simply the “World Cup.” Then during World War II, not much was seen or heard of the trophy. It was being kept hidden in a shoe box under the bed of Dr. Ottorino Barassi, the Italian vice-president of FIFA, to prevent it from falling into the hands of the Nazi army. In 1966, the Cup was stolen during a public showing of the trophy prior to the World Cup tournament in England. Luckily, it was found a short time later, none the worse for wear, in a trash container by a little dog named Pickles. Four years later, Brazil earned permanent possession of the original trophy by winning its third World Cup title. Unfortunately, the trophy was stolen a second time in 1983 and was never recovered. The Brazilian Football Association had to have a duplicate trophy made.
(I) After the first trophy became the possession of Brazil’s football association, a new World Cup Trophy for FIFA was designed by an Italian artist, Silvio Gazzaniga, in 1974. (II) This trophy cannot be won outright, but remains in the possession of FIFA, and rest assured they are watching it very closely. Today, World Cup winners are awarded a replica of the trophy that is gold-plated, rather than solid gold like the real one. (III) Gazzaniga’s World Cup trophy weighs almost five kilograms. (IV) Its base contains two layers of a semi-precious stone called malachite, and has room for seventeen small plaques bearing the names of the winning teams---enough space to honor all the World Cup champions up to the year 2038. After that, a new trophy will have to be made.
Which of the following can be inferred from the passage?
Có bao nhiêu yêu cầu cơ bản đối với người lao động của một số ngành nghề phổ biến trong chăn nuôi?
Tập xác định của hàm số \(y=\frac{\text{sin}x}{2-2\text{cos}x}\) là
Nội dung nào dưới đây nói về chủ thể sản xuất?
Speech is one of the most important ways of communicating. It consists of far more than just making noises. To talk and also (627) ___________ by other people, we have to speak a language, that is, we have to use combinations of sounds that everyone agrees to stand for a particular object or idea. Communication would be impossible (628) _________________. Learning a language properly is very important. The basic vocabulary of English is not very large, and not only about 2,000 words are needed to speak it quite well. But (629) ________________, the more precise you can be about their exact meaning. Words are the main thing we use in communicating what we want to say. (630) ________________. (631) _______________ of voice can express many emotions and show whether we are pleased or angry, for instance.
Câu 630:
(630) __________________.
Truyện về các vị thần sáng tạo thế giới kể về những vị thần nào?
- Cho hai tập hợp \(X,Y\) thỏa mãn \(X\backslash Y = \left\{ {7;15} \right\}\) và \(X \cap Y = \left( { - 1;2} \right)\). Xác định số phần tử là số nguyên của \(X\).
Which of the following best restates each of the given sentences?
The researchers are conclusively confident that their findings will revolutionize the field.
Tìm tất cả các giá trị của tham số \(m\) để bất phương trình \(x^{2}-(m+2) x+8 m+1 \leq 0\) vô nghiệm.
Ion nào sau đây có số electron nhiều hơn số proton và số proton nhiều hơn số neutron? Biết \({\rm{H}} = _1^1{\rm{H}},{\rm{D}} = _1^2{\rm{H}},{\rm{O}} = _8^{16}{\rm{O}}.\)
Read the following leaflet and mark the letter A, B, C or D on your answer sheet to indicate the option that bestfits each of the numbered blanks from 7 to 12.
Sustainable Destinations
The new guide covers a range of sustainable travel options as well as sustainable hotels. All of them are (7) ________ and offer varying degrees of sustainable practices
Some suggested hotels:
Bettei Senjuan
Bettei Senjuan has a Green Key (8) ________ and is located at the foothills of Mount Tanigawa. A member of Relais & Châteaux luxury hotel group, the hotel has private open-air baths for each room, fed by flowing natural hot spring water.
Kuki
(9) ________ hotel option is Kuki, which is in the southwest of Hokkaido. The hotel is trying to reduce its carbon (10) ________ and waste. Water is heated through a natural hot spring to keep rooms warm and the food is from local producers. Kitchen waste is (11) ________compost for farms.
Zaborin
On the northern island of Hokkaido, Niseko Town was voted one of the world’s Top 100 Green Destinations in 2020 and 2021. This is where you will find content (12) ________ Zaborin, which incorporates modern, eco-friendly design and building techniques. Its walls are made out of recycled offcuts and an on-site hot spring provides carbon-neutral, underfloor heating in winter, and the cold spring water cools the building during the summer. Read the following leaflet and mark the letter A, B, C or D on your answer sheet to indicate the option that bestfits each of the numbered blanks from 7 to 12.
Sustainable Destinations
The new guide covers a range of sustainable travel options as well as sustainable hotels. All of them are (7) ________ and offer varying degrees of sustainable practices
Some suggested hotels:
Bettei Senjuan
Bettei Senjuan has a Green Key (8) ________ and is located at the foothills of Mount Tanigawa. A member of Relais & Châteaux luxury hotel group, the hotel has private open-air baths for each room, fed by flowing natural hot spring water.
Kuki
(9) ________ hotel option is Kuki, which is in the southwest of Hokkaido. The hotel is trying to reduce its carbon (10) ________ and waste. Water is heated through a natural hot spring to keep rooms warm and the food is from local producers. Kitchen waste is (11) ________compost for farms.
Zaborin
On the northern island of Hokkaido, Niseko Town was voted one of the world’s Top 100 Green Destinations in 2020 and 2021. This is where you will find content (12) ________ Zaborin, which incorporates modern, eco-friendly design and building techniques. Its walls are made out of recycled offcuts and an on-site hot spring provides carbon-neutral, underfloor heating in winter, and the cold spring water cools the building during the summer.
Hô hấp tế bào (hô hấp hiếu khí) bao gồm mấy giai đoạn?
Sáng nay mùa thu sang
Cha đưa con đi học
Sương đọng cỏ bên đường
Nắng lên ngời hạt ngọc
Lúa đang thì ngậm sữa
Xanh mướt cao ngập đầu
Con nhìn quanh bỡ ngỡ
Sao chẳng thấy trường đâu?
Hương lúa tỏa bao la
Như hương thơm đất nước
Con ơi đi với cha
Trường của con phía trước
Thu 1964
(Tế Hanh, Đưa con đi học, In trong Khúc ca mới, NXB Văn học, HN, 1966)
Dòng nào sau đây giải nghĩa đúng nhất tác dụng chủ yếu của biện pháp tu từ nhân hoá được sử dụng trong câu thơ “Lúa đang thì ngậm sữa”?
Read the following passage about endangered languages and mark the letter A, B, C or D on your answer sheet to indicate the best answer to each of the following questionsfrom 31 to 40.
[I] Social media has become a dominant force in modern communication, offering a range of benefits and challenges. [II] It has revolutionized the way people interact, share information, and even form relationships. [III] While these platforms offer opportunities for connection and expression, they also have their drawbacks. [IV] For instance, excessive use of social media has been linked to a range of negative effects, including mental health issues, social isolation, and decreased productivity. [V] However, when used responsibly, social media can also offer a variety of positive outcomes, such as the ability to stay connected with loved ones, network professionally, and access valuable information and resources.
One of the major benefits of social media is its ability to keep people connected. For example, individuals who live far apart can maintain close relationships through regular communication on these platforms. Social media also facilitates professional networking, allowing users to connect with potential employers or clients, and enabling companies to promote their products and services to a global audience. Additionally, platforms like Facebook, Twitter, and Instagram provide a space for people to share ideas, opinions, and creative work, fostering a sense of community and collaboration.
Despite these advantages, there are serious concerns about the negative impact of social media, particularly on mental health. Studies have shown that excessive social media use can contribute to feelings of anxiety, depression, and loneliness. This is often attributed to the unrealistic portrayals of life that are commonly shared on these platforms, leading to comparisons that can make individuals feel inadequate or left out. Furthermore, constant exposure to negative news or online bullying can exacerbate these feelings and contribute to long-term psychological stress.
Another issue with social media is its potential to distract people from their daily responsibilities. With notifications constantly popping up and endless streams of content to scroll through, individuals may find it difficult to focus on tasks such as work, school, or personal obligations. This can result in decreased productivity and a lack of attention to important matters.
Ultimately, the impact of social media depends on how it is used. If individuals are mindful of their usage patterns and take steps to limit their time on these platforms, they can enjoy the benefits of staying connected and informed without the negative consequences. Parents, educators, and mental health professionals can also play a role in helping young people develop healthy habits and manage their social media use effectively.
Which of the following best paraphrases the underlined sentence in paragraph 1?
“Social media has become a dominant force in modern communication."