如图,求MD的长---**Extraction Content:**
**Question Stem:**
例 6: 如图,两圆相交于 C, D, AB 为公切线,若 AB=12, CD=9, 求 MD 的长。
**Provided Information:**
AB = 12
CD = 9
Seek the length of MD.
**Chart/Diagram Description:**
Type: Geometric diagram.
Main Elements:
- Two circles are shown, overlapping and intersecting at two points, labeled C (upper intersection) and D (lower intersection).
- A straight line segment, labeled AB, is tangent to both circles. Point A is on the left circle, and point B is on the right circle. AB is positioned below the circles.
- A straight line segment, labeled CD, connects the two intersection points of the circles. CD appears to be a vertical line segment, perpendicular to the tangent line AB.
- A point M is labeled on the tangent line AB, between points A and B. M appears to be the foot of the perpendicular from D to AB.
- A straight line segment, labeled MD, connects point D to point M. This segment MD appears vertical, perpendicular to AB.
- Labels: Points A, B, C, D, and M are clearly labeled. The line segments AB, CD, and MD are implied by the points.
**Relative Position and Direction:**
- The left circle is larger than the right circle.
- C is above D.
- CD is approximately a vertical line segment.
- AB is a horizontal line segment below the intersection points.
- M is on AB, directly below D.
- MD is approximately a vertical line segment, perpendicular to AB.