下列结论正确的是( ) A: 如果函数f(x)在点x=<img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202012/fdcb3c002c53441fa69fd9fc3076a5be.png" />处不可导，则f(x)在点x=<img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202012/fccedfd766654505ba6969e49597bb90.png" />处也可能连续 B: 如果函数f(x)在点x=<img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202012/450601f103e541c59a2bcaf43473c913.png" />处可导，则f(x)在点x=<img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202012/ac603e6c25944a939bc20a352e35e40b.png" />处连续 C: 如果函数f(x)在点x=<img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202012/59143c94d1554ce7b1c4188c63dd7dc8.png" />处连续，则f(x)在点x=<img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202012/10cd24ef2c2b47b08193284458b6c8cd.png" />处可导 D: 如果函数f(x)在点x=<img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202012/e1b59bf3878c483f817cd90a0b46acea.png" />处不连续，则f(x)在点x=<img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202012/a1d323d5a3e14eff887de62c708c931f.png" />处不可导