新课标高中数学（New curriculum standard, high school mathematics）.doc

新课标高中数学（New curriculum standard, high school mathematics） Compulsory 1: one, set 1, meaning and representation: (1) the characteristics of the elements in the set: certainty, mutual, disorder (2) classification of set; finite set; representation of infinite set (3); enumeration method, description method, graphic method 2, the relationship between sets: subset: for any, all, then called A is a subset of B. record as Proper subset: if A is a subset of B, an element does not belong to at least A and in B, then A is a proper subset of B, Remember to A B sets equal: if: then The relationship between the 3. elements and sets: doesnt belong to the empty set: 4, a set of operations: Union: a collection consisting of A or B belongs to the set belongs to the set of elements called Union, denoted as Intersection: a collection consisting of common elements in set A and set B called intersection, denoted as Complement: U in complete set, consisting of all does not belong to the elements of the set A is called the complement, Remember to The number of subsets of a total of 5. sets; a proper subset - 1; nonempty set - 1; 6. commonly used number sets: natural number set: N positive integer set: Integer Set: Z rational number set: Q real number set: R Two, the parity of function 1, the definition of F (=: odd function - x) = - f (x), f (= even function - x) = f (x) (note the domain) 2. Property: (1) the image of odd function becomes a central symmetrical figure about origin; (2) the image of even function, about the axis of Y, the symmetry figure; (3) if the image of a function is symmetric about the origin, then the function is singular; (4) if the image of a function is symmetric about the Y axis, then this function is an even function Two. Monotonicity of function 1, the definition: for the domain as a function of D f (x), if any x1, X2, D, X1 and x2. F (x1) f (x 2) = f (x1) - f (x2) 0 = f (x) is an increasing function The f (x1) F (x 2) = f (x1) - f (x2) 0 = f (x) is a decr