First, the hard magnetic field
Given set A={(x, y)|x2+mx-y+2=0}, B={(x, y)|x-y+ 1=0. And 0≤x≤2}, if A∩B≦, the value of the real number m is taken.
Difficulties: Determination of Sufficient and Necessary Conditions
Sufficient condition, necessary condition and necessary and sufficient condition are important mathematical concepts, which are mainly used to distinguish the relationship between condition P and conclusion Q of a proposition. This section mainly analyzes the meaning of necessary and sufficient conditions through different knowledge points, so that candidates can accurately judge the necessary and sufficient relationship between two given propositions.
Second, the magnetic field is difficult
Given set A={(x, y)|x2+mx-y+2=0}, B={(x, y)|x-y+ 1=0. And 0≤x≤2}, if A∩B≦, the value of the real number m is taken.
Difficulties: Determination of Sufficient and Necessary Conditions
Sufficient condition, necessary condition and necessary and sufficient condition are important mathematical concepts, which are mainly used to distinguish the relationship between condition P and conclusion Q of a proposition. This section mainly analyzes the meaning of necessary and sufficient conditions through different knowledge points, so that candidates can accurately judge the necessary and sufficient relationship between two given propositions.
Third, the magnetic field is difficult.
Given set A={(x, y)|x2+mx-y+2=0}, B={(x, y)|x-y+ 1=0. And 0≤x≤2}, if A∩B≦, the value of the real number m is taken.
Difficulties: Determination of Sufficient and Necessary Conditions
Sufficient condition, necessary condition and necessary and sufficient condition are important mathematical concepts, which are mainly used to distinguish the relationship between condition P and conclusion Q of a proposition. This section mainly analyzes the meaning of necessary and sufficient conditions through different knowledge points, so that candidates can accurately judge the necessary and sufficient relationship between two given propositions.
Fourth, the formulas of trigonometric functions in the triangle
The trigonometric function relationship in triangle is one of the key contents of college entrance examination over the years. This section mainly helps candidates to deeply understand sine and cosine theorems and master the methods and skills of solving oblique triangles.
Hard magnetic field
It is known that the three internal angles A, B and C of △ABC satisfy A+C=2B. Find the value of cos.
Proof strategy of difficult inequality
The proof methods of inequality are flexible and diverse, and can be combined with various contents. The content of inequality proof and the proof of pure inequality have always been difficult points in high school mathematics. This difficulty focuses on cultivating students' mathematical deformation ability, logical thinking ability and the ability to analyze and solve problems.
Hard magnetic field
Known as a & gt0.b & gt0. And a+b= 1.
Difficult inequality
Inequality is widely used in production practice and related disciplines, and it is also an important tool for learning advanced mathematics. Therefore, inequality is the focus of NMET mathematical proposition, and it is widely used to solve inequality, such as finding the definition and value range of function. In NMET, the solution of inequality is very demanding, which is often closely related to the concept and properties of functions, especially quadratic functions, exponential functions and logarithmic functions. Judging from the college entrance examination questions over the years, there are contents about solving inequalities every year, some of which are directly examined and some are indirectly examined.
Hard magnetic field
(★★★★★) Solve the inequality about x.
Comprehensive application of difficult inequalities
Inequality is another important content after function and equation. As a tool to solve problems, its comprehensive application with other knowledge is more prominent. The application of inequality can be roughly divided into two categories: one is to establish inequality to find the range of parameters or solve some practical application problems; The other is to establish a functional relationship and solve the maximum problem by using mean inequality. This difficulty provides relevant thinking methods, so that candidates can use the properties, theorems and methods of inequality to solve problems in functions, equations, practical applications and so on.
Hard magnetic field
Let the quadratic function f (x) = ax2+bx+c (a >; 0), two roots of the equation f(x)-x=0, x 1, x2 satisfies 0.
(1) when x∈[0.x 1, prove x.
(2) Let the image of the function f(x) be symmetrical about the straight line x=x0, and prove that x0 < x0.
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