Trong mặt phẳng tọa độ Oxy , cho ba điểm \(A(-1 ; 2), B(2 ;-2), C(3 ; 1)\).
Tìm tọa độ điểm \(D\) sao cho \(A B C D\) là hình bình hành.
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Giả sử tọa độ điểm \(D(x, y)\).
Ta có \(\overrightarrow{A D}=(x+1 ; y-2) ; \overrightarrow{B C}=(1 ; 3)\)
Do \(A B C D\) là hình bình hành nên \(\overrightarrow{A D}=\overrightarrow{B C}\)
Suy ra \(\left\{\begin{array}{l}x+1=1 \\ y-2=3\end{array} \Rightarrow\left\{\begin{array}{l}x=0 \\ y=5\end{array}\right.\right.\). Vậy \(D(0 ; 5)\).
Câu hỏi liên quan
Read the following passage about Edible Landscapes for Community Resilience and mark the letter A, B, C or D on your answer sheet to indicate the option that best fits each of the numbered blanks from 18 to 22.
Urban food forests are becoming popular in many cities around the world. These special gardens (18)_________. Food forests which contain fruit trees, berry bushes, and edible plants help people learn about growing food and nature. These community gardens provide fresh food; (19)_________. The food is free for everyone to harvest; this system builds community connections and food security. Many cities now support these projects, recognizing their benefits and (20)_________. Unlike traditional parks, food forests need less water and maintenance. They grow many different plants together, which helps protect against pests and diseases naturally. Children love visiting these spaces to pick berries and learn about where food comes from.
Climate change makes growing local food more important than ever. When communities grow food together, (21)_________. Food forests can help reduce the urban heat island effect by providing shade and cooling the air. They also support important pollinators like bees and butterflies that help all plants grow better. Some food forests include community kitchens (22)_________. These spaces become centers for education about healthy eating and traditional cooking methods. Elderly community members often share their knowledge of plants and recipes with younger generations. This creates valuable connections between different age groups and cultures.
Đâu là mục tiêu hàng đầu của Liên hợp quốc?
Mark the letter A, B, C, or D on your answer sheet to indicate the best arrangement of utterances or sentences to make a meaningful exchange or text in each of the following questions from 13 to 17
Dear Nhung,
a. The party will take place at my house on Sunday at 6 PM.
b. It will be a great chance for us to enjoy delicious food, play fun games, and share memories before you leave.
c. Let me know if you can make it. I really hope to see you then!
d. I’m going to have a farewell party after the Tet holiday. Would you like to come?
e. I want to make this a special moment to say goodbye and wish you all the best.
Best regards,
Anna
chọn đúng hoặc sai với mỗi ý a), b), c), d)
Hình bên biểu diễn sự thay đổi độ phóng xạ của một mẫu chất phóng xạ \({\beta ^ - }\)theo thời gian.
Một lớp học có 30 học sinh nam và 10 học sinh nữ. Giáo viên chủ nhiệm cần chọn một ban cán sự lớp gồm có 4 học sinh.
Tính xác suất ban cán sự có ít nhất một học sinh nữ.
Do ảnh hưởng bởi việc các tỉnh, thành phố thực hiện giãn cách nên hoạt động sản xuất kinh doanh đặc biệt là hoạt động của các doanh nghiệp chế biến, bảo quản thủy sản bị đình trệ. Bộ Công Thương và EVN đã đề xuất với Thủ tướng Chính phủ và được Chính phủ đồng ý cho thực hiện hỗ trợ giảm 10% tiền điện trên hoá đơn tiền điện cho các khách hàng. Chính sách giảm giá điện của Nhà nước tác động tích cực như thế nào đến đời sống người dân?
Cho phương trình \((m-1) x^{4}+2(m-3) x^{2}+m+3=0\) ( \(m\) là tham số). Tìm \(m\) để phương trình vô nghiệm.
Nhằm khắc phục tình trạng khủng hoảng trong những năm 1850 – 1870, chính phủ đế chế II do Na-pô-lê-ông III đứng đầu đã có quyết định gì?
Đọc đoạn tư liệu sau đây và chọn đúng hoặc sai đối với mỗi nhận định.
“Đầu thế kỉ XX, các tổ chức độc quyền ở Pháp, Mĩ, Anh chỉ chiếm khoảng 1% tổng số xí nghiệp toàn thế giới nhưng lại chiếm hơn ¾ tổng số máy hơi nước và động cơ điện, số lượng công nhân; tổng số sản phẩm làm ra chiếm gần một nửa so với toàn thế giới”
(Sách giáo khoa Lịch sử 11, Bộ Kết nối tri thức với cuộc sống, tr.16)
Để tính diện tích đường tròn bán kính R, với pi = 3,14, biểu thức nào sau đây trong Python là đúng?
Cho mệnh đề P(x): "∀x∈R, x2+x+1>0". Mệnh đề phủ định của mệnh đề P(x) là
Một số vòi nước thường có hai tai vặn. Tác dụng chính của các tai vặn này là:
Hãy cho biết trong dao động điều hòa x = 2Acos(2ωt + φ), giá trị cực tiểu của gia tốc là:
Tìm hệ số của \(x^{9}\) trong khai triển \(P(x)=x\left(1-2 x^{4}\right)^{5}+x^{3}\left(1+x^{2}\right)^{5}\).
Chọn ý đúng: Nhân tố ảnh hưởng đến sự phát triển và phân bố của ngành bưu chính viễn thông?
Read the following leaflet and mark the letter A, B, C or D on your answer sheet to indicate the option that best fits each of the numbered blanks from 7 to 12.
Discover the Future of Dining at Viet Organic Garden Restaurant!
At Viet Organic Garden Restaurant, we offer a (7)______of fresh, organic dishes designed to meet the growing demands of modern consumers. As the world experiences a (8)_______toward healthier, eco-friendly lifestyles, we are proud to provide a dining experience that prioritizes sustainability and wellness.
Unlike the other restaurants that depend on processed foods, we source our ingredients directly from local farmers. This ensures that our supply is never (9)______and allows us to deliver meals rich in flavor and nutrition. (10)______ ethical sourcing and environmentally friendly practices, we bring quality and care to every plate.
When you place your (11)______at Viet Organic Garden Restaurant, you can trust that each dish is made with love and care. Join us and be part of this exciting movement. Whether you're looking for a cozy weekend meal or a refreshing take on dining, Viet Organic Garden Restaurant stands apart from the (12)______ options in the market as a leader in sustainable and healthy dining.
In Part Three of the Speaking Section you work together with a partner. You have to do a single task which usually lasts about 3 minutes. One possible task is “problem solving”, which means you have to look at some visual information and then discuss the problem with your partner. You may be shown photos, drawings, diagrams, maps, plans, advertisements or computer graphics and it is essential that everyone (631)___________ them carefully. If necessary, check you know exactly (632) ________________ the examiner to repeat the (633) __________ or make them clearer.
While you are doing the task, the examiner will probably say very little and you should ask your partner questions and (634) ___________ suggestions if he or she is not saying much. If either of you have any real difficulties, the examiner may decide to step in and help. Normally, however, you find plenty to say, which helps the assessor to give you a fair mark. (635) ____________in doing the task by competing with your partner, which includes taking turns in giving opinions and replying appropriately, although in the end it may be possible to “agree to disagree”.
Câu 633:
Choose A, B, C or D: If she had known how awful this job was going to be, she______ it.
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 28 to 34. Foot-racing is a popular activity in the United States. It is seen not only as a competitive sport but also as a way to exercise, to enjoy the camaraderie of like-minded people, and to donate money to a good cause. Though serious runners may spend months training to compete, other runners and walkers might not train at all. Those not competing to win might run in an effort to beat their own time or simply to enjoy the fun and exercise. People of all ages, from those of less than one year (who may be pushed in strollers) to those in their eighties, enter into this sport. The races are held on city streets, on college campuses, through parks, and in suburban areas, and they are commonly 5 to 10 kilometers in length. The largest footrace in the world is the 12-kilometer Bay to Breakers race that is held in San Francisco every spring. This race begins on the east side of the city near San Francisco Bay and ends on the west side at the Pacific Ocean. There may be 80,000 or more people running in this race through the streets and hills of San Francisco. In the front are the serious runners who compete to win and who might finish in as little as 34 minutes. Behind them are the thousands who take several hours to finish. In the back of the race are those who dress in costumes and come just for fun. One year there was a group of men who dressed like Elvis Presley, and another group consisted of firefighters who were tied together in a long line and who were carrying a fire-hose. There was even a bridal party, in which the bride was dressed in a long white gown and the groom wore a tuxedo. The bride and groom threw flowers to bystanders, and they were actually married at some point along the route.
In what lines does the author give reasons for why people enter footraces?