June 2024 National Unified Academic Achievement Test (Grade 11)

What is the value of ?

What is the value of ?

What is the length of the radius of a sector with a central angle of and an arc length of ?

When , what is the solution to the equation ?

In triangle ABC inscribed in a circle with radius 6, when , what is the length of ?

When the graph of the function passes through the point and has an asymptote at the line , what is the value of ? (where and are constants)

When the graph of the function is as shown in the figure, what is the value of ? (where are constants.)

When the graph of the function is translated by units in the direction of the -axis and by units in the direction of the -axis, the resulting graph passes through the origin and has an asymptote at the line . Find the value of . (Here, and are constants.)

In the coordinate plane, let A be the point with positive y-coordinate and B be the point with negative y-coordinate among the two intersection points of the circle and the line . Let and be the angles represented by the rays OA and OB, respectively. If , find the value of . (Here, O is the origin and the positive direction of the x-axis is the initial line.)

As shown in the figure, quadrilateral is inscribed in a circle andGiven that the area of triangle is , what is the value of ?

As shown in the figure, for a constant , let the line intersect the two curves and at four points. Let these four points be named , , , in order of increasing -coordinates. When , what is the value of ?

For a real number , find the maximum value of such that the range of all values of satisfying the inequalityon the interval becomes $-\pi-\alpha

Find the value of .

Find the maximum value of the function on the interval .

Find the value of the constant when the graph of the function passes through the point .

Given three real numbers greater than that satisfy find the value of .

For a real number , the function satisfies the following condition: For a real number , there are exactly two values and of such that the maximum value of the function on the interval is . Find the value of . (where )