答A:190=(6^2+4^2)h/2 ,h=190/26dm=1900/26cm
答B:解方程组2x+3y-5=0,3x-2y-3=0得交点为(19/13,9/13),所求直线的斜率=-2,
设所求直线为2x+y+b=0,将(19/13,9/13)代入得b=-47/13,所求直线为2x+y-47/13=0.
答C:设所求圆的方程为(x-a)^2+(y-b)^2=r^2,
r^2=(a-2b-1)^2/(1+4)
将(1,2)和B(1,10)代入解方程组,得解.
答D:设所求圆的方程为(x-2)^2+(y+1)^2=r^2,与x-y-1=0相交于(x1,y1)、(x2,y2),经解方程组得x1+x2=2,x1*x2=2-r^2/2,y1+y2=0,y1*y2=1-r^2/2,
根据距离公式得:√[(x1-x2)+(y1-y2)]=2√2),所以8=(x1-x2)^2+(y1-y2)^2=(x1+x2)^2-4x1x2+(y1+y2)^2-4y1y2=4r^2-8,所以r=4,x1=3,y1=2,x2=-1,y2=-2,
所以所求圆的方程为(x-2)^2+(y+1)^2=16.
两交点为(3,2)(-1,-2),分别过此两点的切线为(3-2)(x-2)+(2+1)(y+1)=16,即x+3y=15;
(-1-2)(x-2)+(-2+1)(y+1)=16,即3x+y+11=0.