https://wenku.baidu.com/view/3e62df30b90d6c85ec3ac670.html
https://baijiahao.baidu.com/s?id=1614655524397070040&wfr=spider&for=pc
1. 极坐标的定义
已知平面上一点P,在直角坐标系下坐标为(x,y),极坐标系下的坐标为
2. 推导
即将$dxdy$ 转换为:$rdrd heta$
3. 计算
1) $alpha <= heta <= eta$; $varphi_1( heta) <= heta <= varphi_2( heta)$
2) $alpha <= heta <= eta$; $0 <= r <= varphi( heta)$
3) $0 <= heta <= 2pi$; $0 <= r <= varphi( heta)$