请给出详细的解题步骤和答案---1.A, B, C, D四个地区爆发病毒疫情,它们之间的道路连通情况和距离 (单位: km) 如图所示,经调查发现,某地区受感染率与相邻地区自发病率和距离有关,具体公式为:A地受 B地的感染率 = (相邻地区B地的自发病率) / (A, B两地之间距离 (单位: km)的平方) 。已知 A地受 B地和 D地感染率之和为 9%, D地的自发病率为 24%。
(1) 求 B地的自发病率;
(2) 规定某地的危险系数等于该地的自发病率与总受感染率的和。
① 若 C地危险系数是 A地危险系数的两倍,且 D地受感染率比 B地高 5%,求 A地的自发病率;
② 在①的条件下,A地派出 6支医疗队支援 B, D 两地,每派出 1支医疗队,A地自身发病率上升 0.75%,每支医疗队可以让被支援的地区的自发病率下降 4%。在保证 A地危险系数不上升的前提下,A地各派往 B, D两地多少支队伍时,B地的自发病率下降最多?
Chart Description:
Type: Node-link diagram / Graph representing connections and distances between four locations.
Nodes: Four circular nodes labeled A, B, C, D.
Lines: Straight lines connecting the nodes.
Labels: Numbers on the lines representing distances in km.
- Line connecting A and D is labeled 2.
- Line connecting A and B is labeled 3.
- Line connecting D and C is labeled 2.
- Line connecting B and C is labeled 3.
Structure: The nodes are arranged roughly in a quadrilateral shape with A and D above B and C. A is connected to D and B. D is connected to A and C. B is connected to A and C. C is connected to D and B.