1.利用高斯公式计算下列曲面积分.-|||-(1) (x+2y+3z)dxdy+(y+2z)dydx+((z)^2--|||-)dzdx,S为三个坐标平面与平面 x+y+z=1 所围-|||-四面体的边界,取外侧.-|||-(2) ^3dydz+(y)^3dzdx+(z)^3dxdy, S为球面 ^2+(y)^2+-|||-^2=(a)^2, 取内侧.-|||-(3) |dxdy+zxdydz+xydxdx, S是由第一卦限-|||-中的圆柱面 ^2+(y)^2=(R)^2, 平面 =h(hgt 0), 和坐标面-|||-围成的闭曲面,取外侧.-|||-(4) int xysqrt (1-{x)^2}dydz+(e)^xsin ydxdy, S为柱面 ^2+-|||-^2=1(0leqslant yleqslant 2), 取外侧.-|||-(5) int ((x)^2-yz)dydt+((y)^2-zx)dxdx+2zdxdy-|||-为锥面 =1-sqrt ({x)^2+(y)^2} 被平面 z=0 所截部分的上侧.-|||-(6) iint (x)^2dydx+y(x)^2dxdx+z(y)^2dxdy, S为上半球面-|||-=sqrt ({a)^2-(x)^2-(y)^2}, 取下侧.-|||-(7) iint (1-(x)^2)dydx+8xydxdx-4xdxdy, S为由-|||-xOy坐标面上的弧段 =(e)^y(0leqslant yleqslant a) 绕x轴旋转所-|||-生成的旋转面,取凸的一侧.

20. 由抛物线y^2=2x与直线y=x-4所围成的图形的面积是A. 18B. (38)/(3)C. (16)/(3)D. 16

二、列竖式计算497+745= 968+1163= 209times18= 574div41= 46.75+65.31=

如图,矩形OABC的四个顶点坐标依-|||-次为0(0,0), (dfrac (pi )(2),0) (dfrac (pi )(2),1) ,C(0,1),记线段OC,-|||-CB以及 =sin x(0leqslant xleqslant dfrac (pi )(2)) 的图象围成的区域(图中阴-|||-影部分)为Ω,若向矩形OABC内任意投一点M,则点M-|||-落在区域Ω内的概率为 ()-|||-↑y-|||-C B-|||-O A-|||-x-|||-A. dfrac (2)(pi ) B. https:/img.cdnjtzy.com/zyb_85c509822bafa9444be5566692b0f626.jpg-dfrac (1)(pi )-|||-C. https:/img.cdnjtzy.com/zyb_85c509822bafa9444be5566692b0f626.jpg-dfrac (2)(pi ) D. dfrac (pi )(2)sim 1

22. (2020-06 东杭联合体2)-|||-((a{x)^3-sqrt (2)(y)^2)}^6 展开式中最大的二项式系数的值等-|||-于 __-|||-____.-|||-填空1-|||-填空1-|||-请输入填空1的答案-|||-上传附件

1.[单选题]对于试验E：掷一颗骰子，其中事件A为出现奇数点，事件A是（）A. 基本事件B. 复合事件C. 不可能事件D. 必然事件

9 设常数a>0，则lim_(xto+infty)(a^x)/(1+a^x)=____.

5.计算下列二重积分:-|||-(1) iint y[ 1+x(e)^dfrac (1{2)((x)^2+(y)^2)}] dxdy, 其中D是由直线 =x, y=-1 及 x=1 围成的平面区域;-|||-(2) iint (x+y)dxdy, 其中 :(x)^2+(y)^2leqslant x+y+1;-|||-(3) iint (sqrt ({x)^2+(y)^2}+y)dsigma , 其中D是由圆 ^2+(y)^2=4 和 ((x+1))^2+(y)^2=1 所围成的平面区域;-|||-(4) iint |(x)^2+(y)^2-4|dsigma , 其中 :(x)^2+(y)^2leqslant 9;-|||-(5) iint dfrac (1+xy)(1+{x)^2+(y)^2}dxdy, 其中 = (x,y)|{x)^2+(y)^2leqslant 1,xgeqslant 0} ;-|||-(6) iint (e)^max(x)^2,(y)^2dxdy, 其中 = (x,y) 10leqslant xleqslant 1,0leqslant yleqslant 1 ;-|||-(7) (int )_(-infty )^+infty (int )_(-infty )^+infty (min)^-1((x)^2+(x)^-infty );-|||-(8) iint ((x+y))^3dxdy, 其中D由曲线 =sqrt (1+{y)^2} 与直线 +sqrt (2)y=0 及 -sqrt (2)y=0 围成;-|||-(9) iint xy[ 1+(x)^2+(y)^2] dxdy, 其中 = (x,y)|{x)^2+(y)^2leqslant sqrt (2),xgeqslant 0,ygeqslant 0} [ 1+(x)^2+(y)^2] 表示不超-|||-过 https:/img.cdnjtzy.com/zyb_0861b07e26153a3abcf82e38aa66271f.jpg+(x)^2+(y)^2 的最大整数.

脱式计算① 1.1÷11+0.9⑧ (13.9-2.1)÷5.9151.08*0.8÷0.27 ②12÷0.15÷20 ⑨4.85+0.35÷1.4 2.05÷0.82+33.6 ③ 5.1+8.1÷9 extcircled(10) 40.5÷0.81*0.18 extcircled(17) 44.28÷0.9÷4.1 ④93÷0.31*1.1 extcircled(11) 0.75*18÷0.15 ⑧9.07-22.78÷3.4⑤ 8.4÷0.6*3.922.07÷0.23÷0.45 extcircled(19) 5.3*6.3÷2.1 ⑥92.6÷463÷0.2 21.36÷0.8-12.9 205.4*(7.26÷6.05) ⑦12.8÷3.2÷0.2 ④7.28+3.2÷2.5 extcircled(21) 5.4÷(0.51÷0.17)220.5÷0.3÷1.5 ⑧ 7.4*1.5÷0.3-3.7558.7-16.65÷3.7 ②4.9÷1.25÷0.8 ⑨ 40.5÷5÷0.9 161.2÷(9.6÷2.4)÷0.5 4.9÷7÷0.7 extcircled(10) (6.9-3.15)*0.8÷0.3 extcircled(17) 30.6÷(4.5*0.16) ④ 9.07-2.88÷0.9 extcircled(11) 13.6÷(5.2-3.5) extcircled(18) 9.2+9.728÷3.2*1.5 90÷(3.6-1.8) (13.8-8.7)÷0.034 extcircled(19) 8.48÷0.8*0.9 ⑥27.68÷2.5÷0.4 extcircled(13) 1.5*4.2-0.75÷0.25 extcircled(20) (21.88+29.8)÷7.6 3.4*7.8÷3.9 147.5-5.7*1÷3 (8.1-5.4)÷3.6+8.7① 14+3.26÷0.2 ⑧(20+0.8)÷0.8 5.7*1.2÷1.9 ②4.8÷0.16÷0.3 10.9÷0.11+1.2÷0.11 161.25*3.63÷2.5 ③48.7-160.6÷5.84 ⑩ 6+18÷(5.2+3.8)21.8÷0.8-1.2*5 ④70.3+17.48÷7.6 extcircled(11) 19.28+1.82÷0.7 extcircled(18) 86.4÷6.4-0.4 ⑤38.83÷4.4-7.85 ② 4.8÷(1.2÷0.5)3.6÷0.4*0.25 ⑥3.64÷5.2*23.3 12.8+12.8÷0.5 20(24.6-18.1)÷0.5 13.8÷(1.48+0.82) ④ 71.4÷(0.7*0.6)15.58÷8.2-0.72①16.38÷(3.5+2.8) ⑧ 9.6÷1.2*0.5 extcircled(15) 6.7+3.3÷4.4+5.6 ②8.84÷1.7-0.52 ⑨ 6.9÷2.3÷3 1620.5÷1.25÷0.8 ③1.58*99÷7.9 ⑩5.06×2.8+7.2÷0.612.6÷(1.02+3.18) ④2.5*8÷0.8 extcircled(11) 20.16÷7.2+9.8 (0.81+2.7)÷0.9 ⑤ 6÷0.5+0.9 2 26.6÷(15.4-7.8)21.36÷0.8-12.9 ⑥ 0.44÷0.22*0.5 extcircled(13) 178.8÷(26.4-25.6) 203.2÷0.8*0.26 ⑦ 1.75÷0.5÷5 4 9-0.24÷1.6*1.144.28*0.5÷4.1(3.14+12.6)÷0.8 ⑧ 7.5-2.4÷0.8*2.5 extcircled(15) 0.75*1.8÷0.15 ②4.5÷(0.15÷0.3) ⑨ 6.72+3.2÷2.562.07÷0.23÷0.45 ③ 30.7-0.48÷2-0.76 ⑩21.36÷0.4-23.4 extcircled(17) 42.72÷0.8-12.9④3.6÷(1.2+0.6)*0.6 extcircled(11) 10.8*0.8÷0.27 187.28+3.2÷2.5 ⑤4.3*7.8÷3.9 ②20.5÷0.82+20.6 extcircled(19) 2.881+3.2÷2.5 ⑥ 5.4÷(6.86+3.94)44.28÷0.3÷4.1 2021.84÷(9.85+1.07) ⑦(31.6-11.7)÷2.5÷0.4 148.6-22.78÷6.7 extcircled(21) (9.44+28.9)÷0.18(2.44-1.8)÷0.4-1.5 ⑧2.05÷0.82+33.61570.3-17.48÷7.6 (31.8+3.2*4)÷0.5 ⑨ 44.28÷0.9÷4.1 6 3.64÷52*233③ 31.5*4÷(0.6+0.3) 09.07-22.78÷3.4(4.9-2.7)÷0.125 ④ 194-64.8÷1.8*0.9 extcircled(11) 2.58÷0.43-0.24*3.5 ⑧ 0.25*7.5÷0.336.72÷4.25*9.9 68.04÷(0.21*3.6) 9)1.5*0.02÷(2.1-2.09) (10-6.76)÷1.2 6.25÷0.25*0.6 20(7.7+1.54)÷1.32+1.3 ⑦ 1.08*0.8÷0.2713.04÷(97.28÷0.32) extcircled(21) 24.6÷(8.6-0.4)

6.求曲线 ) x+t(1-t)=0 t(e)^y+y+1=0 . 在对应于 t=0 的点处的切线方程