误差理论与测量平差基础习题集5(参考答案)

7.10.66

XX????P1?4933.038m,Y?P1?6513.767m?7992.965m?P2?4684.394m,Y?1?P2

01?5.4?,?P?3.1cm,?P?3.2cm27.10.67

(1)抛物线方程: =3.68 (2) =3.68, =0.039cm 7.10.68 面积的平差值:

· =70.078×30.181=2115.02(cm2) 7.10.69

(1)直线方程:y=1.264x+2.055,a =1.264,b =2.055 (2) =0.01cm, =0.034cm 7.10.70 (1)圆的方程:

(X-1.399 6) +(Y-1.555 1)= (2)圆的面积:

= ?=( )=44 152 =883

(3)圆心的点位中误差: =1.43m 7.10.71 平差值为:

?n?????PX?X??i?1i????????n?Y????PYiXi??i?1????n??(XiPYiXi?YiPYi)?i?1?n?PXiYii?1?1n???(XiPXiYi?YiPXiYi?i?1??nYiXi?YiPYi)??(XiP?i?1?)??????

平差值的协因数:

?n??PXii?1 ?n???PYiXi?i?1?P?XiYi?i?1? n?P?Yi?i?1?n?1?PXi其中,??YiXi?PPXiYi??QXi???PYi??QXiYi??QXiYi?? QYi???1第八章

8.1.04

(a) u=4,s=1,r+u=6 (b) u=4,s=1,r+u=6 误差方程: 误差方程:

L1?X1 h1?X1

????L3?X3 h3??X2?X3 L4??X1?X2?360 h4?X3 L5??X1?X2?X3?360 h5?X4

???????????????限制条件:X1?X2?X4?0 限制条件:X1?X2?X5?HA?HB?0 8.1.05

本题n=8,t=4,u=5,s=1

??????i=1,2,,5),且X 令L3,L4,L5,L6,L8的观测值为参数的近似值X(i0?

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