5272道题目5525 条题源记录 · 相同内容已合并
圆・圆的方程与切线进阶
What is the radius of the circle in the xy-plane defined by \( (x+2)^2+(y+6)^2=361 \)?
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圆・圆的方程与切线进阶
\( x^2+y^2=1,088 \)
\( y-4x=0 \)
A solution to the given system of equations is \( (x,\ y) \), where \( x<0 \). What is the value of \( y \)?
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圆・圆的方程与切线挑战
Circle A: \( (x-7)^2+(y-p)^2=21 \)
Circle B: \( (x+7)^2+(y-p)^2=21 \)
In the given equations, p is a positive constant. Which statement correctly compares the graphs of circles A and B in the xy-plane?
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圆・圆的方程与切线进阶
In the xy-plane, an equation of circle R is \( (x+8)^2+(y+19)^2=100 \). Circle S is obtained by shifting circle R to the right 3 units. An equation defining circle S is \( (x+h)^2+(y+k)^2=100 \), where h and k are constants. What is the value of h?
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圆・圆的方程与切线进阶
A circle in the xy-plane has its center at \( (-7,\ 2) \), and the point \( (1,−2) \) lies on the circle. Which equation represents this circle?
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圆・圆的方程与切线挑战
\( x^2+y^2-6x-10y-4n=0 \)
The given equation represents circle A in the xy-plane, where n is a constant. Point (5, 7) lies on circle B, which has the same center but twice the diameter as circle A. What is the value of n?
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圆・圆的方程与切线挑战
Points A, B, and C lie on the circle as shown. If \( x=48 \), what is the measure, in degrees, of minor arc AC?
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圆・圆的方程与切线进阶
A circle in the xy-plane has its center at (3, 2) and a radius with a length of 4. The equation for this circle can be written in the form \( (x-h)^2+(y-k)^2=b \), where h, k, and b are constants. What is the value of h?
参考答案
圆・圆的方程与切线进阶
A circle has a circumference of 28π centimeters. What is the diameter, in centimeters, of the circle?
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圆・圆的方程与切线进阶
In the xy-plane, an equation of circle A is \( (x-2)^2+(y-7)^2=25 \) . Circle B has the same center as circle A but has a radius that is twice the radius of circle A. Which equation represents circle B?
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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?
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圆・圆的方程与切线挑战
A circle has center G, and points M and N lie on the circle. Line segments MH and NH are tangent to the circle at points M and N, respectively. If the radius of the circle is 247 millimeters and the perimeter of quadrilateral GMHN is 5,174 millimeters, what is the distance, in millimeters, between points G and H?
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