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JackShcherbakov2017-12-16 23:06:27
Books
JackShcherbakov, 2017-12-16 23:06:27

What books on algebra and geometry does the following topics cover?

Hello! I'm going to enter the lyceum and I can't find suitable books to prepare for the entrance exam. Are there any resources (books, websites (but not video lessons, preferably)), which would describe this in sufficient depth, besides, more books are needed - solutions with exercises with answers (and preferably explanations). Oh yes, I'm in 9th grade. That is, everything that is described below refers to the 8th grade.

Algebra:
Rational fractions and their properties. Square roots, their properties, actions with square roots. Quadratic equations, fractional rational equations, Vieta's theorem. Numerical inequalities, their properties, solution of linear inequalities, proof of inequalities, systems of inequalities. Equations and inequalities containing a module. Degree with an integer exponent and its properties. Systems of equations. The image of sets of points on a plane, given by an equation or inequality (their system).
Geometry:
Polygon. Area of ​​a triangle. Theorem on the intersection of medians at one point. Parallelogram, trapezoid, rhombus, rectangle, square. Their properties, features, area. Thales' theorem. Similarity. Pythagorean theorem. Circle. An arc and its degree measure. Inscribed corners. Inscribed angle theorem. Tangent. Inscribed circle and circumscribed circle near a triangle, formulas for calculating their radii, inscribed polygon, circumscribed polygon, their properties.

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