Current location - Training Enrollment Network - Mathematics courses - Seek the first adaptive training mathematics 20 12 in the senior high school entrance examination of Xigong University.
Seek the first adaptive training mathematics 20 12 in the senior high school entrance examination of Xigong University.
Question 24 is that it is known that the straight line L passes through two points A (6 6,0) and B (0, 12) and intersects with the straight line y=x at point C. 。

(1) Find the analytical formula of straight line L;

(2) If the point P(x, 0) moves on the line OA, and the parallel line passing through the point P as L intersects with the straight line y=x in D, find the functional relationship between the area S of △PCD and X; Is there a maximum value for s? If yes, find the value of x when s is maximum;

(3) If point P(x, 0) moves on the X axis, is there a point P that makes △PCA an isosceles triangle? If it exists, please write down the coordinates of point P; If it does not exist, please explain why.

Question 25 is the point A coordinate (1, root number 3) in the plane rectangular coordinate system and the root number 3 of the triangle AOB region.

1) find the coordinates of point B.

(2) In the plane rectangular coordinate system, the coordinates of point A (1, root number 3) and the root number 3 of the triangle AOB region. Find the parabolic analytical formula of points a, o and b

(3) Whether there is a point C on the parabola symmetry axis, which passes through point A, point O and point B, so that the AOC perimeter of the triangle is the shortest. If there is, find the coordinates of point C..

(4) Is there a point P below the X axis? If the point P intersects with the vertical line AB of the X axis and the point D, the line segment OD divides the triangle AOB into two triangles, so that the ratio of the area of one triangle to the area of the quadrilateral BPOD is 2: 3? If it exists. Find point p