5272道题目5525 条题源记录 · 相同内容已合并
圆・圆的方程与切线挑战
A circle in the xy-plane has its center at (-5, 5). Line t is tangent to this circle at the point (6, -1). Which of the following points also lies on line t ?
原库参考解析
圆・圆的方程与切线进阶
A circle in the xy-plane has a diameter with endpoints (8, -13) and (8, -25). Which equation represents this circle?
原库参考解析
圆・圆的方程与切线挑战
\( 2x^2+6x+2y^2+20y=\frac{11}{2} \)
The given equation defines a circle in the xy-plane. What is the radius of the circle?
原库参考解析
圆・圆的方程与切线进阶
A circle in the xy-plane has its center at (6, 5) and has a radius of length 8. Which equation represents this circle?
原库参考解析
圆・圆的方程与切线挑战
\( 2x^2+18x+2y^2+16y=\frac{11}{2} \)
The given equation defines a circle in the xy-plane. What is the radius of the circle?
原库参考解析
圆・圆的方程与切线挑战
A circle has center P, and points A and B lie on the circle. The measure of arc AB is 30° and the length of arc AB is 7π units. What is the length, in units, of the radius of the circle?
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圆・圆的方程与切线进阶
In the circle, O is the center and \( ∠AOB \) is a right angle. If the area of the shaded region is 37π square units, what is the length, in units, of \( OA \)?
参考答案
圆・圆的方程与切线挑战
\( x^2+y^2=49 \)
\( y=mx+\frac{b}{3} \)
In the given system of equations, m and b are negative constants. In the xy-plane, the graphs of the equations in the given system intersect at the point (−4, y) where y < 0. Which expression represents the value of b?
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圆・圆的方程与切线进阶
The circle shown has center Q, and points B, C, and D lie on the circle. Line m is tangent to the circle at point C, and line m is parallel to line segment BD(not shown). Line DQ(not shown) intersects line m at point A, and line BQ(not shown) intersects line m at point P. If the length of line segment AQ(not shown) is 90 and the length of line segment AC is 72, what is the perimeter of triangle CPQ?
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圆・圆的方程与切线进阶
Points A and B lie on a circle with center C. The length of segment AC is 86 millimeters. What is the length, in millimeters, of segment BC?
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圆・圆的方程与切线挑战
\( x^2+16x+y^2=12y+101 \)
In the xy-plane, the graph of the given equation is a circle. What is the length of the circle's diameter?
In the xy-plane, the graph of the given equation is a circle. What is the length of the circle's diameter?
参考答案
圆・圆的方程与切线挑战
A circle in the xy-plane has its center at (-5, 2) and the point (-9, 5) lies on the circle. Which equation represents this circle?
参考答案
