gaokao 2010 Q5

gaokao · China · shanghai-science Circles Distance from Center to Line

5. The distance from the center of circle $C : x ^ { 2 } + y ^ { 2 } - 2 x - 4 y + 4 = 0$ to the line $l : 3 x + 4 y + 4 = 0$ is $d =$ $\_\_\_\_$ $3$. Analysis: This examines the point-to-line distance formula. The distance from the center $(1,2)$ to the line $3 x + 4 y + 4 = 0$ is $\frac { | 3 \times 1 + 4 \times 2 + 4 | } { 5 } = 3$

(5 points) For a hyperbola with center at the origin and foci on the $x$-axis, one of its asymptotes passes through the point $(4,2)$. Then its eccentricity is

5. The distance from the center of circle $C : x ^ { 2 } + y ^ { 2 } - 2 x - 4 y + 4 = 0$ to the line $l : 3 x + 4 y + 4 = 0$ is $d =$ $\_\_\_\_$ $3$.\\
Analysis: This examines the point-to-line distance formula.\\
The distance from the center $(1,2)$ to the line $3 x + 4 y + 4 = 0$ is $\frac { | 3 \times 1 + 4 \times 2 + 4 | } { 5 } = 3$

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q16