Cho biểu thức \(T=3x-2y-4\) với \(x\) và \(y\) thỏa mãn hệ bất phương trình: \(\left\{ \begin{align} x-y-1\le 0 \\ x+4y+9\ge 0 \\ x-2y+3\ge 0 \\ \end{align} \right.\). Biết \(T\) đạt giá trị nhỏ nhất khi \(x={{x}_{0}}\) và \(y={{y}_{0}}\). Tính \(x_{0}^{2}+y_{0}^{2}\).
Bộ Đề Kiểm Tra Giữa Học Kì I - Toán 10 - Chân Trời Sáng Tạo là tài liệu cung cấp bài tập chuyên sâu, tập trung vào các kiến thức cốt lõi như hàm số bậc nhất, bậc hai, phương trình, bất phương trình, và căn bậc hai. Đề thi được thiết kế với các câu hỏi đa dạng, từ việc nhận diện đặc điểm hàm số đến giải phương trình phức tạp, giúp học sinh rèn luyện kỹ năng phân tích và tư duy giải toán logic. Đây là tài liệu cần thiết để học sinh làm quen với các dạng bài toán nâng cao, tối ưu hóa kỹ năng tính toán và lập luận, tạo nền tảng vững chắc cho các kỳ thi tiếp theo.
Câu hỏi liên quan
Nếu xét ba gen, gen A gồm có 2 alen nằm trên NST X, thuộc vùng không tương đồng với NST Y. Gen B và gen C đều có 2 alen, nằm trên một NST thường và liên kết gen không hoàn toàn. Hỏi một cơ thể lưỡng bội có thể có tối đa bao nhiêu kiểu gen về các cặp alen đang xét?
Thị trường có bao nhiêu chức năng cơ bản?
Mục đích của Thiên hoàng Minh Trị khi tiến hành hàng loạt cải cách trên trên các lĩnh vực kinh tế, chính trị, văn hóa, quân sự là gì?
Trong Python, câu lệnh nào là dùng để đưa dữ liệu ra màn hình?
Công trình kiến trúc nổi tiếng nhất ở Cam-pu-chia thời phong kiến là
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
[I] A newborn baby can see, hear and feel. By the age of five, a child can talk, ride a bike and invent imaginary friends. How does this development happen? [II]We don't understand the way language, thinking and planning develop very well. [III]Now scientists are using new technology to ‘see’ into children's brains. And they are discovering new information about the way a baby's brain develops. [IV]
A study in 2010 showed that children who were afforded more focus often gained an edge in IQ. The brain of a newborn infant contains nearly a hundred billion neurons. This number is comparable to that of an adult's brain. As they mature, an infant assimilates information through the sensory modalities of sight, hearing, smell, taste, and touch. This information fosters intricate connections between different regions of the brain. By the age of three, there are approximately a hundred trillion synaptic connections.
One experiment looked at images of babies' brains while they were listening to different sounds. The sounds were in different sequences. For example, one sequence was mu-ba-ba. This is the pattern ‘A-B-B’. Another sequence was mu-ba-ge. This is the pattern ‘A-B-C’. The images showed that the part of the brain responsible for speech was more active during ‘A-B-B’ patterns. This shows that babies can tell the difference between different patterns. This experiment is interesting because sequences of words are important to grammar and meaning. Compare two sentences with the same words in a different order: ‘John killed the bear’ is very different from ‘The bear killed John.’ So babies are starting to learn grammatical rules from the beginning of life.
Researchers also know that babies need to hear a lot of language in order to understand grammar rules. But there is a big difference between listening to television, audiobooks or the internet, and interacting with people. One study compared two groups of nine-month-old American babies. One group watched videos of Mandarin Chinese sounds. In the other group, people spoke the same sounds to the babies. The test results showed that the second group could recognize different sounds, however, the first group learned nothing. The scientist, Patricia Kuhl, said this result was very surprising. It suggests that social experience is essential to successful brain development in babies.
Which of the following is TRUE according to the passage?
Vùng biển nào ở nước ta thuận lợi nhất cho nghề làm muối?
Người nộp thuế bao gồm những đối tượng nào?
Cho A = (−1; 5) và B = (m; m+3]. Tìm tất cả các giá trị của m để A ∩ B ≠ ∅ ?
Nghiệm của phương trình \(\tan \dfrac{x}{2} = \dfrac{{\sqrt 3 }}{3}\) là?
Choose A, B, C or D that has the CLOSEST meaning to the given pair of sentences in the question.
She dedicates a significant amount of her time to volunteering. Her goal is to empower underprivileged communities.
Hiệu điện thế giữa hai điểm M, N là UMN = 40 V. Chọn câu chắc chắn đúng:
Căn cứ vào quy mô có thể phân chia doanh nghiệp thành mấy loại chính?
Công việc của nhà thiết kế và trang trí nội thất là gì?
Trong tự nhiên, tỉ lệ đực : cái thường xấp xỉ
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 questions from 23 to 30.
AVICII’S LIFE AFTER REHAB
Once he completed his month in rehab, Avicii seemed to have a new outlook on life. He was meditating regularly, reading about the collective unconscious, and got a puppy. After not performing for a long period of time, he returned to the stage in 2016 at Miami’s Ultra Music Festival. It was announced a few days after this gig that he would not be performing live anymore. Avicii chose to not perform so that he could focus on bettering his mental health.
Despite appearing to have new-found stability, Avicii still struggled to deal with his mental health issues. While continuing to suppress the anxiety and depression that he frequently felt, Avicii also started to become disinterested in his music career. During this time, he was smoking and drinking on occasion which may have resulted in a resurgence of his disassociation feelings.
He told Tereza Kacerova, his girlfriend at the time, “What if everyone around me is just a projection in my mind? Sometimes I just think these things. About how nothing really matters.”
Avicii started to focus heavily on meditation which he found to be helpful in clearing the “nonsense” from his mind. He believed that a deep form of meditation taught by Maharishi Mahesh Yogi was a way to exercise his brain which he had decided would lead to his happiness. Despite this form of meditation typically being done in 20 minutes increments, Avicii would sometimes spend full days meditating in an attempt to reach enlightenment faster.
The word suppress in paragraph 2 is closest in meaning to
Nhiệm vụ của bơm cao áp là:
Read the following passage about How Failures Led to Breakthroughs and mark the letter A, B, C or D on your answer sheet to indicate the best answer to each of the following questions from 23 to 30.
Many important discoveries happened because of mistakes and unexpected accidents. Alexander Fleming found penicillin when he left his laboratory messy before going on holiday. After vacation, he saw mold growing on his experiment plate. Fleming noticed this mold killed bacteria around it very effectively. This fortunate accident later saved millions of lives around the world. Scientists call finding valuable things by chance "serendipity," which happens often in research.
The Post-it Note began as a mistake that seemed useless at first. In 1968, Spencer Silver tried making a strong glue for 3M company but created a weak one instead that didn't stick permanently. Nobody knew what to do with this disappointing result for several years. Then his colleague Arthur Fry realized this "failure" could make perfect bookmarks that wouldn't damage pages when removed. This weak adhesive eventually became one of the most popular office products worldwide, changing how people work.
In cooking, many favorite foods came from kitchen errors and quick substitutions. Ruth Wakefield invented chocolate chip cookies when she ran out of baker's chocolate and used broken pieces of semi-sweet chocolate instead. She thought they would melt completely in the dough, but they kept their shape during baking. Potato chips were created when chef George Crum made extremely thin potatoes to annoy a customer who repeatedly complained about thick fries. Surprisingly, the customer loved them and ordered more!
These fascinating stories teach us that mistakes can lead to new opportunities and unexpected innovations. Thomas Edison said about his many failed light bulb attempts, "I haven't failed. I've just found 10,000 ways that don't work." This positive attitude shows we should see errors as valuable learning chances. Smart people don't fear making mistakes in their work; they fear missing opportunities to learn from them and discover something amazing.
Which of the following best paraphrases the underlined sentence in paragraph 4?
Hiện nay, thế giới phụ thuộc chủ yếu vào năng lượng nào sau đây?
Người nông dân muốn cây cà chua trong vườn ra nhiều hoa hơn để tăng năng suất quả. Họ định sử dụng chất kích thích sinh trưởng và cắt tỉa các lá già. Tuy nhiên, một chuyên gia khuyên rằng cần lưu ý điều chỉnh lượng phân bón và nước tưới. Dựa trên kiến thức về sinh trưởng và phát triển ở thực vật, vì sao điều này có thể giúp cây ra nhiều hoa hơn?