1月9日的Math Studio应用程序分析

All in one. Step by step solution. This app includes a lot of mathematics topics such as geometry, analytic geometry, equations and inequalities, quadratic function, linear function, linear system, circle equation, math sequences, algebra, vectors. It also contains units calculator. GEOMETRY - Triangles: equilateral triangle, right triangle, isosceles triangle, 30-60-90 - Quadrilaterals: square, rectangle, rhombus, parallelogram, trapezoid, right trapezoid, isosceles trapezoid, kite - Polygons: regular pentagon regular hexagon, regular octagon, regular dodecagon - circle, ellipse, annulus and annulus sector - Solids of revolution: sphere, cylinder, cone, truncated cone, barrel, spherical sector, spherical cap, spherical wedge, spherical lune, spherical segment, spherical zone - Prisms: cube, square prism, cuboid, triangular prism, regular triangular prism, hexagonal prism, pentagonal prism - Pyramids: regular tetrahedron, triangular pyramid, square pyramid, hexagonal pyramid - Others: Pythagorean theorem, Thales' theorem, trigonometry, law of sines, law of cosines EQUATIONS AND INEQUALITIES - First and second degree - Quadratic equation - Quadratic inequality - Linear equation - Linear inequality - Equations with parameter ANALYTIC GEOMETRY - Points and lines - Intersection point - Distance from point - Length of the segment - Parallel and Perpendicular line - Perpendicular bisector - Axial symmetry - Central symmetry - Translation by a vector - Angle between lines - Angle bisector - Bisector of the angle between two lines - Value of the angle from three points - Position of a point relative to a line - Relative position of two lines - Relative position of three points - Relative position of two circles - Relative position of a circle and a line - Relative position of a circle and a point - Translation of a circle by a vector - Circle reflection over point - Circle reflection over line - Circle with radius and two points - Circle with center and point - Circle with center and radius - Circle with three points QUADRATIC FUNCTION - standard form - vertex form - factored form - discriminant of the quadratic function - real roots (zeros) - vertex of a parabola - intersection of the Y-Axis - monotonicity (increasing, decreasing) - positive and negative values (inequalities) LINEAR FUNCTION - slope-intercept form - standard form - distance between two points - midpoint of a line segment - line segment bisector - parallel line - perpendicular line - distance from a point to a line - equation of the line passing through 2 points LINEAR SYSTEM Four methods for solving systems: - Substitution method - Elimination method - Graph method - Method of determinants CIRCLE EQUATION - standard form - general form - tangent line to the circle MATH SEQUENCES - properties of geometric progression: initial term, any mth term and nth term, ratio, sum of n terms, general formula - properties of arithmetic progression: initial term, any mth term and nth term, difference, sum of n terms, general formula - properties of geometric series: initial term, ratio, sum ALGEBRA - greatest common divisor (gcd) - least common multiple (lcm) VECTORS - 2D and 3D - Length of a vector - Dot product - Cross product - Addition and subtraction UNITS (calculator) - Length, distance - Mass - Velocity - Power - Pressure - Temperature - Time - Energy - Data