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 (-2, 3) and has a radius of 8. An equation of this circle is \( x^2+y^2+ax+by+c=0 \), where a, b, and c are constants. What is the value of c?
参考答案
圆・圆的方程与切线进阶
\( x^2+y^2-8x+4y-29=0 \)
In the xy-plane, the graph of the given equation is a circle. What are the coordinates (x, y) of the center of the circle?
In the xy-plane, the graph of the given equation is a circle. What are the coordinates (x, y) of the center of the circle?
参考答案
圆・圆的方程与切线挑战
\( x^2-16x+y^2+20y=32 \)
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
\( x^2-6x+y^2+20y=12 \)
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・圆的方程与切线基础
In the xy-plane, segment QR is a diameter of circle O. Line s and line t are tangent to circle O at points Q and R, respectively. The slope of line s is \( \frac{3}{2} \). What is the slope of line t?
参考答案
圆・圆的方程与切线进阶
\( x^2+52x+y^2=0 \)
In the xy-plane, the graph of the given equation is a circle. What are the coordinates (x, y) of the center of the circle?
In the xy-plane, the graph of the given equation is a circle. What are the coordinates (x, y) of the center of the circle?
参考答案
圆・圆的方程与切线挑战
A circle in the xy-plane has its center at \( (-4,\ -8) \). Line k is tangent to this circle at the point \( (-8,\ -9) \). What is the slope of line k?
参考答案
圆・圆的方程与切线基础
A circle has a diameter of 10.4 centimeters. What is the radius of the circle, in centimeters?
参考答案
圆・圆的方程与切线挑战
\( x^2+x\sqrt{t}+y^2-y-73=0 \)
The given equation, where t is a constant, defines a circle in the xy-plane. The radius of this circle is \( \sqrt{91} \). What is the value of t?
The given equation, where t is a constant, defines a circle in the xy-plane. The radius of this circle is \( \sqrt{91} \). What is the value of t?
参考答案
圆・圆的方程与切线进阶
\( \left(x+3\right)^2+\left(y-18\right)^2=169 \)
The graph of the given equation is a circle in the xy-plane. The point (a, b) lies on the circle. Which of the following is a possible value for a?
原库参考解析
圆・圆的方程与切线进阶
In the xy-plane, the graph of the equation \( \left(x-2\right)^2+\left(y-9\right)^2=4 \) is a circle. The point (4, c), where c is a constant, lies on this circle. What is the value of c?
原库参考解析
圆・圆的方程与切线进阶
The circle shown has its center at (0, 0). What is the value of k?
原库参考解析
