1、 1 0-1(1)m)42(m)10412(jiijiba 204222ba 4.6324arctan(2)m)422(m)10412(jiijiba 51042222ba 3.10224arctan (图略)0-2(1)1207248)68()126(jijiba(2)kkkjijiba609636)68()126(0-3(1)m5ccba(2)ba,0ba(3)kijba1243 0-4(1)ktjeittrt5cos106)23(dd22,0t时,jr3,kjitr1062dd(2)1401062dd222tr(3)18)106()3(ddkjjtrr(4)kikjjtrr630)106
2、()3(dd 1-1(1)jti tr)32(32,jtitrv43dd,jtra4dd22 s2t时,jir116,jiv83,ja4(2)jijijirrr63)53()116(12,456322r,与x轴正向的夹角 4.6336arctan(3)jijjitrrv2313)53(1011,jijitrrv631632122(4)3xt,39233222xxy i2 i2j4 ba 2 1-2 ttxvx10dd,txttx01d10d,152 tx 2ddttyvy,tytty022dd,2313ty jtitr)231()15(32,jti tv210,jtitva210dd s2t时
3、,jir31421,jia410 1-3 质点作匀加速运动(1)jti ttavv460 jtittjiitatvrr2222002)310()46(211021(2)22ty,22yt,2310yx,)10(32xy 1-4 设x轴方向水平向左,影子到灯杆距离为x,人到灯杆距离为x,由几何关系得 xxxHh,xhHHx,VhHHtxhHHtxvdddd 1-5 263ddddddddxxvvtxxvtva,xvxxvv020d)63(d,322321xxv,346xxv 1-6 BvAtvadd,vttBvAv00dd,)1(BteBAv 1-7(1)2m/s2ddtva,m/s28ddtt
4、xv,txttx852d)28(d,m18082ttx(2)m/s80v,m1800 x 1-8 34ddtt,212ddtt,212 tRRat,6216 tRRan s1t时,2m/s12ta,2m/s16na,m/s20161222a amF,N2201.0 maF,F与切线方向夹角 13.531216arctanarctantnaa 1-9 ctbtsvdd,ctvatdd,RctbRvan22)(ntaa,cRctb2)(,cbRct 3 1-10(1)在距离中心为r、宽度为rd内音轨的长度为 rrn d2,激光划过这些音轨所需的时间 vrrntd2d,整张 CD 的放音时间 min
5、4.69s4166)2.26.5(1306500)(d2d22212221RRvnvrrnttRR(2)rv,cm0.5r时,2/s260.5130,nrvrnvrvtrrvt322222dddd cm0.5r时,rad/s/s1031.36500521302332 1-11 车对地雨对车雨对地vvv(1)雨滴相对于地面的水平分速度 01xv 雨滴相对于列车的水平分速度 km/h362ivx(2)km/h4.6260tan3660tan车对地雨对地vv km/h7260cos/3660cos/车对地雨对车vv 1-12 对地对对地BBAAvvv km/h91760cos800100028001
6、00060cos22222对地对地对地对地对BABABAvvvvv 6543.09175.0800100030sinsinBABAvvv对对地对地 9.40 即 A 机相对于 B 机的速度方向为向西偏南9.40。1-13 水对地船对水船对地vvv(1)6010.155.0arccosarccos船对水水对地vv s105060sin1.1100060sin10001000船对水船对地vvt(2)4.6355.010.1arctanarctan水对地船对水vv m50010.1100055.01000船对水水对地vvx 船到达对岸下游m500处。x y 车对地v 雨对地v 雨对车v 30 东 对地Av 对地Bv BAv对 30 水对地v 船对水v 船对地v 水对地v 船对水v 船对地v