第五讲 向量与三角函数创新题型的解题技巧（The fifth vector and trigonometric function innovation problem solving technique）.doc

第五讲 向量与三角函数创新题型的解题技巧（The fifth vector and trigonometric function innovation problem solving technique）TXT is important not in the position of the station, but in the direction of the direction. Don't measure others' giving by your own needs, or you'll always complain. The fifth vector and trigonometric function innovation problem solving technique[propositional trend]In 2007, we found the following types and features of the trig function:1. The nature of the trigonometric function, image and its transformation, mainly, images, and the properties of transformation. Examine the concept of trigonometric functions, parity and periodicity, monotonicity, boundedness, image translation and symmetry, etc. To select or fills up the topic or answer questions, belongs to the medium, the paper examines the nature of trigonometric function of the single small, a problem of trigonometric function involved property in two or more than two, examines the knowledge from the teaching material.2. Triangle transform. The main test formula of flexible use, transform ability, general to apply and Angle, Angle and double Angle formula, especially for the application of the formulas with the comprehensive usage of trigonometric function properties. In the form of multiple choice or fills up the topic or answer questions, belongs to the mid-range.3. The application of trigonometric function. How to plane vector and parsing as the carrier, or with triangle to investigate students on triangle identical deformation and the trigonometric function properties and application of comprehensive ability. Special attention should be paid to the triangle function in the practical problems and knowledge application, the application note trigonometric function in the solution about function, vector, plane and solid geometry, analytic geometry how few problems instrumental role. This kind of problem generally takes the form of answers to questions, belongs to the mid-range.4. In a test set, trigonometric function general respectively have one choice, one fills up the topic, and a solution, or multiple choice and fills up the topic 1, solution 1, score between 17-22 points.5. In the high exam, the triangulation problem is mainly in the lower or middle grade topics, which generally won't be difficult or difficult, so the triangulation is the score point of the college entrance exam.[test perspective]1. Understand the concept of any Angle and the meaning of radians, and make the conversion of radian and Angle correctly.2. To master any Angle of the definition of sine, cosine, tangent, understand the cotangent, secant, the definition of CSC, the same solution of trigonometric function, the basic formula of master control induced formula of sine, cosine, understand the periodic function and the meaning of the least positive period.3. Grasp the sine, cosine and tangent formula of the two angles and the two angles, and master the sine, cosine and tangent formula of double Angle.4. Can use trigonometric formula correctly to simplify, evaluate, and identity of simple trigonometric functions.5. Understand the sine, cosine function, tangent function and nature of the image with the "five points" painted sine function and cosine function and the function y = Asin (x + bits of omega) diagram, understanding, omega, the physical significance of the bits of A.We're going to take the Angle of the delta function, and we're going to use the sign arcsin x, arcos x, arctan x.7. Grasp the sinusoidal theorem, the law of cosines, and use them to solve the oblique triangle, and can solve the calculation problem of solving the triangle with the calculator.8. The solution to the synthesis of vector and trigonometric functions.The method of solving the problem1. Basic strategies for the identity of trigonometric functions.(1) chang-value substitution: especially with the substitution of "1", such as 1 = cos 2 theta + sin2 theta = tan x? Cotx = tan45 °, etc.(2) the separation of items and the matching of angles. So if I divide this up, sine of 2x plus 2 cosine 2x is equal to sine of 2x plus cosine of 2x plus cosine of 2x is equal to 1 plus cosine of 2x; The matching Angle: alpha alpha alpha plus beta beta beta alpha beta alpha beta alpha beta alpha beta alpha beta alpha beta alpha beta alpha beta alpha beta alpha beta alpha beta alpha beta alpha beta alpha beta alpha beta alpha beta alpha beta alpha beta alpha beta beta(3) descending and ascending. The double Angle formula is reduced and the half Angle formula is raised.(4) string (cut) method. The trigonometric functions are used to form the string (cut).(5) introduction of auxiliary Angle. Sine theta theta plus b cosine theta theta theta theta theta plus theta theta, theta theta plus theta theta, theta theta plus theta theta plus theta theta, theta theta plus theta theta plus theta theta, theta theta plus theta theta plus theta the。