5.求下列参数方程所确定的函数的导数 dfrac (dy)(dx)-|||-(3) ) x=theta (1-sin theta ) y=theta cos theta .

已知(sin )^2theta -(cos )^2theta =dfrac (2sqrt {2)}(3)，求(sin )^2theta -(cos )^2the

椭圆 x = a cos theta, y = b sin theta 所围图形的面积为（）A. $\pi ab^2$B. $\pi ab$C. $\pi a^

求下列各曲线所围成图形的公共部分的面积:-|||-(1) rho =3cos theta 及 rho =1+cos theta ;-|||-(2) rho

[例2](1)(2020·全国卷Ⅲ)已知 sin theta +sin (theta +dfrac (pi )(3))=1,-|||-则 sin (theta

5.求下列参数方程所确定函数的导数 dfrac (dy)(dx)cdot -|||-(1) ) x=2t-(t)^2 y=3t-(t)^3 .

8.求下列各曲线所围成图形的公共部分的面积:-|||-(1) rho =3cos theta 及 rho =1+cos theta ;-|||-(2) rho

当 theta =dfrac (pi )(3) 时，theta =dfrac (pi )(3)________ ，theta =dfrac (pi )(3)__

当theta =dfrac (pi )(3)时，theta =dfrac (pi )(3)______，theta =dfrac (pi )(3)______，

4.设总体密度函数如下,x1,···,xn是样本,试求未知参数的矩估计.-|||-(1) (x;theta )=dfrac (2)({theta )^2}(th

A X=0 =1-dfrac (theta )(100), X=1 =dfrac (theta )(100). B X=0 =1-dfrac (theta