(dated) In a kneeling position.
(by extension) Supplicatingly, imploringly.
Source: en.wiktionary.orgAfter a whirlwind courtship, thought to have begun in late autumn of 1994, Prince Joachim, on bended knee, presented Alexandra with a diamond and ruby engagement ring while the couple holidayed together in the Philippines. Source: Internet
Unless you’re a spiritual celebrity, Fetzer requires you to come on bended knee, and engage in a long and careful stroking process. Source: Internet
Time and again you beg us on bended knee to prevent from achieving independence within the foreseeable future, but everywhere else you make it almost impossible for us to maintain control. Source: Internet