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 with center \( O \) at (−10, 4) has a radius of 16. The equation \( x^2+y^2+ax+by+c=0 \)represents this circle. What is the value of \( c \) ?
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圆・圆的方程与切线挑战

The circle shown above is inscribed inside the square ABCD. Segment AC is the diagonal of the square, and its length is 10 cm. What is the radius of the circle in cm?
原库参考解析
圆・圆的方程与切线进阶
(x+3)2+(y-4)2=25
In the xy-plane, the graph of the given equation is a circle. Which point lies on this circle?
原库参考解析
圆・圆的方程与切线进阶
(x +3)2 +(y -4)2 =25
In the xy-plane, the graph of the given equation is a circle. Which point lies on this circle?
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圆・圆的方程与切线进阶
A circle in the xy-plane has its center at(-4, 2) and the point(-8, 5) lies on the circle. Which equation represents this circle?
原库参考解析
圆・圆的方程与切线进阶
\( x^2+9x+y^2-5y+17=0 \)
In the xy-plane, the graph of the given equation is a circle. What is the radius of the circle?
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圆・圆的方程与切线进阶
A circle in the xy-plane has the equation\( \left(x-14\right)^2+\left(y-k\right)^2=36 \). Which of the following gives the center of the circle and its radius?
原库参考解析
圆・圆的方程与切线进阶
In the xy-plane, circle M is the graph of the equation \( \left(x-3\right)^2+\left(y-6\right)^2=4 \) . Circle P has the same center as circle M but has a radius that is twice the radius of circle M. Which equation represents circle P?
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圆・圆的方程与切线挑战
A rectangle is inscribed in a circle such that the length of the diagonal of the rectangle is twice the length of its shortest side. The circumference of the circle is 114π units. What is the area, in square units, of the rectangle?
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圆・圆的方程与切线挑战
The three points shown define a circle. The circumference of this circle is kπ, where k is a constant. What is the value of k?
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圆・圆的方程与切线进阶
\( \left(x-5\right)^2+\left(y+3\right)^2=36 \)
The given equation represents circle P in the xy-plane. Circle Q has a center that is 3 units to the right of and 2 units below the center of circle P. Circle Q has a diameter that is double the diameter of circle P. Which equation represents circle Q?
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圆・圆的方程与切线挑战
Circle \( F \)in the xy-plane is represented by the equation \( \left(x-13\right)^2+\left(y-9\right)^2=196 \). Circle G is obtained by shifting circle \( F 5 \) units to the left and 11 units up. An equation representing circle \( G \) is \( \left(x+h\right)^2+\left(y+k\right)^2=196 \), where h and k are constants. What is the value of \( h+k \) ?
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