Brother, I'm about to take the senior high school entrance exam just like you, but my ability to solve comprehensive problems is still very strong. Except for the last question, which is extremely abnormal and a little difficult, everything else is OK. Let me give you some experience:

1. The first or penultimate question of the last question will be given points, and you will put it. Generally, one of these two problems is a quadratic function. Let me focus on it for you. The first problem is generally to find the coordinates and analytical expressions of points. This kind of question is with a dot or with an ordinate and an abscissa. Generally, the second question is that there are several special points, and then let you determine what the figure composed of these points is. This kind of problem is generally to find an edge. The solution of the edge is: if it is parallel to the X axis, it is the addition and subtraction of the ordinate, and if it is parallel to the Y axis, it is the addition and subtraction of the abscissa. The second question may also be related to the garden. This kind of problem is to find the relationship between radius and edge. The most important thing is the third question, which is generally problematic. The thinking of existing problems is: first of all, there must be a classification thinking, such as whether there is xxx isosceles right triangle, that is, grasping the known side, when the known side is a right-angled side, when the known side is a hypotenuse. The conventional method is: similarity. Let the abscissa or ordinate of the moving point be x, and the other sides be represented by x, and then form an equation according to. Find the coordinates of the point, and then substitute it into the resolution function to see if it conforms to the analytical formula.

To solve the problems in quadratic function is to master the fixed point, symmetry axis and symmetry, and express the coordinates of points by algebra. It should be noted that in general, there is not only one point in the existing problem, so we should think more about the symmetry point of the point we found.

The second is the fixed-point issue. The first problem of the fixed point problem is that it is easier to prove xxx when x=xx is known. I'm sure I don't need to tell you. The second question is generally: Do you think the above conclusion holds when X is given a range of values? The solution to this problem is to draw a graph first, then set a certain quantity as X, and use X to represent other quantities. The proof method is generally similar to the first question, so it goes from special to general. Note: If the first question is identical, the second question is more than 90% similar.

The third problem is to set a line segment as X, the area of a graph as S, find the relationship between S and X, and find the maximum value of S. The method of this kind of problem is to directly make an auxiliary line to represent S according to the trend of X and other line segments that can be represented by X, or convert it into the sum or difference of the areas of several graphs. Generally, s is a quadratic function of x, and the maximum value of s is replaced by fixed-point type.

The third problem is the circle: there is nothing to say, but it should be noted that the commonly used auxiliary lines are similar to connecting the tangent point and the center of the circle. There are also the tangent length theorem and the central angle and circumferential angle of the same arc.

The last thing we can say is to rotate the triangle: mainly to grasp the corresponding line segments and make use of similarity. The commonly used auxiliary lines are extension lines and use a certain point as parallel lines.

That's about all I said. What I said probably covered the basic finale. The rest depends on your adaptability, your usual foundation and luck. . . . . . . .

I also want to say: Doing more final exams in other provinces and cities in 2008 will be of great help to your problem-solving ability. One a day.

If you think what I said is ok or helpful to you, please add it.

I also sincerely feel helpful.