Analytical Geometry in ENEM Solved Questions

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Escola de Números com Thyago Araujo

Published on Mar 29, 2022
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Be part of the 800 + ENEM Club and be APPROVED Click Here: https://thyagoaraujo.com/clubedos800+... In this class I will show you how the contents of analytical geometry are included in the ENEM and how you will be able to answer all the questions. Contents covered in the video: 1 - Cartesian plane 2 - Point and line 3 - Circumference 4 - Ellipse Study with me and be successful in Math. ONLINE MATHEMATICS PLATFORM: https://thyagoaraujo.com/ Solved questions from previous ENEM exams 01. (ENEM-2018) To create a logo, a professional in the graphic design area wants to build it using the set of points of the plane in the shape of a triangle, exactly as shown in the image. To build such an image using a graphic tool, it will be necessary to algebraically write the set that represents the points of this graph. This set is given by the ordered pairs (x;y) ∈ ℕ x ℕ , such that ... 02. (ENEM-2018) An educational game uses an algebraic-geometric interface in the following way: students must eliminate points from the Cartesian plane by firing “shots”, following trajectories that must pass through the chosen points. To fire the shots, the student must write in a program window the Cartesian equation of a straight line or a circle that passes through the points and the origin of the coordinate system. ... 03. (ENEM-2017) The English physiologist Archibald Vivian Hill proposed, in his studies, that the speed v of contraction of a muscle when subjected to a weight p is given by the equation (p + a) (v + b) = K, with a, b, and K constants. A physical therapist, in order to maximize the beneficial effect of the exercises he would recommend to one of his patients, wanted to study this equation and classified it as follows: ... 04. (ENEM-2016) The figure shows three lines on the Cartesian plane, with P, Q and R being the intersection points between the lines, and A, B and C being the intersection points of these lines with the x-axis. This figure is the graphic representation of a linear system of three equations and two unknowns that ... 05. (ENEM-2016) Sodium is present in most processed foods and can cause heart problems in people who eat large amounts of these foods. Doctors recommend that their patients reduce their sodium intake. Based on the nutritional information of five brands of cookies (A, B, C, D and E), the graph was constructed, which relates sodium amounts to servings of different cookies. ... 06. (ENEM-2015) The figure represents the top view of an American football, whose shape is an ellipsoid obtained by rotating an ellipse around the abscissa axis. The values ​​a and b are, respectively, half of its horizontal length and half of its vertical length. For this ball, the difference between the horizontal and vertical lengths is equal to half of the vertical length. ... 07. (ENEM-2014) The figure shows a child playing on a swing in the park. The rope that attaches the swing seat to the top of the support measures 2 meters. The child is careful not to have an accident, so he swings so that the rope does not reach the horizontal position. In the figure, consider the Cartesian plane that contains the trajectory of the swing seat, in which the origin is located at the top of the swing support, the X axis is parallel to the park floor, and the Y axis has a positive upward orientation. ... 08. (ENEM-2013) In recent years, television has undergone a true revolution in terms of image quality, sound and interactivity with the viewer. This transformation is due to the conversion of the analog signal to the digital signal. However, many cities still do not have this new technology. Seeking to bring these benefits to three cities, a television station intends to build a new transmission tower that will send the signal to antennas A, B and C, which already exist in these cities. The locations of the antennas are represented in the Cartesian plane: ... --- Follow us on social media: ► PLATFORM (Website): https://thyagoaraujo.com/cursos/ ► Instagram: / escoladenumeros ► Instagram: / professorthyagoaraujo ► Instagram: / prof.raissacosta ► Instagram: / danieloliveira_qui ► Instagram: / andrefisica ► Twitter: / escoladenumeros CONTACT EMAIL: [email protected] Here on the channel you will find several free video classes in Mathematics, Chemistry, Physics and Biology for elementary and high school. SUBSCRIBE TO THE CHANNEL HERE: https://www.youtube.com/c/EscoladeNum... QUESTION LISTS: https://thyagoaraujo.com/listas-de-qu... CREATED BY MASTER PROFESSOR IN MATHEMATICS THYAGO ARAUJO FERREIRA #ENEM2022 #Mathematics #PaesUema2022

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