Tìm tất cả giá trị của tham số \(m\) để điểm \(M\left( {1;2} \right)\) thuộc miền nghiệm của bất phương trình bậc nhất hai ẩn \(\left( {m + 1} \right)x + \left( {{m^2} + m} \right)y - 1 > 0\).
Tìm tất cả giá trị của tham số \(m\) để điểm \(M\left( {1;2} \right)\) thuộc miền nghiệm của bất phương trình bậc nhất hai ẩn \(\left( {m + 1} \right)x + \left( {{m^2} + m} \right)y - 1 > 0\).
B. \(m \in \left( { - \infty ; - \frac{3}{2}} \right)\).
D. \(m \in \left( { - \frac{3}{2};0} \right)\backslash \left\{ { - 1} \right\}\).
Hãy suy nghĩ và trả lời câu hỏi trước khi xem đáp án
Thay $x = 1$ và $y = 2$ vào bất phương trình, ta được:
$(m + 1)(1) + (m^2 + m)(2) - 1 > 0$
$m + 1 + 2m^2 + 2m - 1 > 0$
$2m^2 + 3m > 0$
$m(2m + 3) > 0$
$m > 0$ hoặc $2m + 3 < 0$ (tức $m < -\frac{3}{2}$).
Vậy $m \in \left( { - \infty ; - \frac{3}{2}} \right) \cup \left( {0; + \infty } \right)$.
Câu hỏi liên quan
Read the following passage about fitness trends 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 31 to 40.
FITNESS TRENDS
[I] Reformer Pilates is an advanced and more intense variation of traditional Pilates. [II] Since this type of equipment isn’t something you would typically have at home, you’ll need to visit a specialized Pilates center to try it. [III] While it might look easy at first, don’t be fooled - by the end of the session, your thighs will be burning, and you might struggle to walk up or down stairs for a few days afterward. [IV] This workout pushes your body to its limits, providing a more challenging experience than standard Pilates, and many find it an effective way to build both strength and flexibility.
Trampolining is another popular fitness trend, and although it may seem like child's play, it’s actually a highly effective workout. Jumping up and down on a trampoline can leave you feeling exhausted after just a few minutes. Surprisingly, it’s even better for heart health than running, while also improving coordination and helping to reduce stress levels. Trampolining is gaining widespread popularity, with new centers popping up that feature as many as 150 trampolines. These facilities offer options for everyone: you can enjoy 'freejumping, where you bounce without an instructor, or pay for professional lessons to learn the best techniques and get the most out of your workout. Many people are discovering that trampolining combines fun and fitness in a way that makes staying active much more enjoyable.
If you're someone who is typically active but feeling down or emotionally drained, Dynamic Running Therapy might be just what the doctor ordered. This trend involves running with a therapist, combining the benefits of physical exercise with talk therapy. Though these sessions are often more expensive than typical therapy sessions because of the professional fees, they offer significant advantages. Running while talking helps distract you from any discomfort, allowing you to cover longer distances, and creates a relaxed, open environment that can make it easier to talk compared to the usual therapist’s office setting.
According to paragraph 2, which of the following is NOT a benefit of Trampolining?
Read the following passage about Innovation Driven by Environmental Need 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.
Green startups have emerged as forces for positive environmental change. These companies create sustainable solutions for urgent ecological challenges. Unlike traditional businesses prioritizing profits, green startups balance financial goals with environmental responsibility. Many were founded by young entrepreneurs who witnessed environmental degradation and felt compelled to act. Their mission extends beyond making money; they aim to heal our planet while building successful businesses.
Eco-friendly startups have grown across various sectors. From renewable energy and sustainable agriculture to zero-waste products, these companies revolutionize how we interact with our environment. GreenWave developed ocean farming requiring no fertilizers while capturing carbon. Notpla created edible packaging from seaweed as a plastic alternative. These innovations show how creativity and environmental consciousness produce extraordinary results. Their success proves sustainability and profitability can coexist.
Funding for green startups has increased in the past decade. Investors recognize supporting environmentally responsible businesses is both ethical and financially prudent. Venture capitalists have established funds dedicated to sustainable startups, providing capital to scale operations. Government grants have become more accessible to entrepreneurs developing green technologies. Despite positive developments, green startups still face regulatory hurdles and competition from established industries resistant to change.
The future looks promising for environmental businesses as consumers shift toward sustainable products. Studies show modern consumers, particularly younger generations, will pay premium prices for eco-friendly alternatives. This trend creates fertile ground for green startups to thrive. As climate concerns intensify, demand for innovative environmental solutions will grow stronger. Green startups are positioned to meet this demand while driving positive change, demonstrating business innovation and environmental stewardship can create a sustainable world.
In which paragraph does the writer mention green startups are working in many different industries with impressive innovations?
Nhóm chức năng nào sau đây không phải là chức năng của hệ điều hành?
Câu nào sau đây là sai?
Vì sao năm 1649, Cách mạng tư sản Anh đạt đến đỉnh cao?
Cho định lý sau: “Nếu một số tự nhiên chỉ chia hết cho 1 và chính nó thì số đó là số nguyên tố”.
Phát biểu định lý trên dưới dạng điều kiện đủ.
Hoạt động thiết kế kĩ thuật có mấy bước chủ yếu?
Nguyên tử của nguyên tố X có electron cuối cùng điền vào phân lớp 3p1. Nguyên tử của nguyên tố Y có electron cuối cùng điền vào phân lớp 3p3. Số hiệu nguyên tử của X và Y lần lượt là
Ở khoai lang, cây con được sinh ra từ cơ quan nào?
Thị trường là lĩnh vực trao đổi, mua bán mà ở đó các chủ thể kinh tế tác động qua lại lẫn nhau nhằm mục đích gì?
Read the following passage about home schooling in the UK 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.
Full-time education in the UK is compulsory from the age of five to sixteen, but this doesn’t have to be in a school. Around 50,000 children are educated at home. This is called ‘homeschooling’.
Parents take their children out of school for different reasons, like illness and the need for special care, or because the distance to the nearest school may be too far. Some children are simply unhappy at school. Whatever the reason, they’re allowed to study at home, although inspectors regularly check how they are getting on.
Hayley and Jenny haven’t been to school for two years but they haven’t neglected their studies. Their mother worked out strict timetables for them, with hourly lessons for each day. She’s responsible for teaching them Maths, English, History and French. Their father teaches them Science and Geography. They study all the other school subjects online. ‘We have lessons with Dad in the evenings and at weekends,’ explains Hayley.
The family’s home is in a remote part of Wales. ‘The girls were fine at school but they spent so much time getting to school, they were too tired to learn, says their mother, Julia”. ‘We had a family conference and in the end we decided to try homeschooling. So far, it’s been a big success, but the girls know that if they want to go back to school at any time, we’ll let them. We follow the normal school program of lessons, and they will take all the normal school exams.’
There are disadvantages too, of course. ‘Social isolation is something I worry about,’ says Julia. They both seem happy and well-adjusted, but they haven’t really got friends who live locally. But in the summer holidays they go away on trips to summer camps, where they have no trouble mixing with people and making friends.’
In which paragraph does the writer describe the daily routine of Hayley and Jenny?
Cho các tập hợp sau:
\(A = \left\{ {\left. {x \in \mathbb{R}} \right|\left( {{x^2} + 7x + 6} \right)\left( {{x^2} - 4} \right) = 0} \right\};\,B = \left\{ {\left. {x \in \mathbb{N}} \right|2x \le 8} \right\};\,C = \left\{ {\left. {2x + 1} \right|x \in \mathbb{Z}, - 2 \le x \le 4} \right\}\).
a) Tập hợp \(A\) có 3 phần tử.
b) \(A \cup B = \left\{ { - 6; - 2; - 1;0;1;2;3;4} \right\}\).
c) \(A \cap B = \left\{ 2 \right\}\).
d) \(A \cup C = \left\{ { - 6; - 3; - 2;2;3;5;7;9} \right\}\).
Mark the letter A, B, C or D on your answer sheet to indicate the correct answer to each of the following questions.
Objects can look a hundred times larger __________ this microscope.
Thái độ của Xi-ta khi bước lên giàn hỏa thiêu được miêu tả có gì đặc biệt?
Nguyên tử \(_{17}^{35}{\rm{Cl}}\) tự do là một trong số các tác nhân gây phá huỷ tầng ozone. Thành phần của nguyên tử này gồm:
Một lượng khí hydrogen có \({T_1} = 500\;{\rm{K}},{p_1} = {10^5}\;{\rm{N}}/{{\rm{m}}^2}\) được làm nóng đến \({T_2} = 1000\;{\rm{K}}.\) Coi thể tích, khối lượng khí hydrogen không đổi. Tìm áp suất \({p_2}\) của khí hydrogen.
Hệ thống kĩ thuật mạch kín thường được sử dụng trong lĩnh vực nào sau đây?
Có mấy chế độ bảo dưỡng ô tô?
Tác động của virus đối với người dùng và máy tính?
Biển của Nhật Bản có nguồn hải sản phong phú do nguyên nhân chủ yếu nào sau đây?
