Quantum key distribution, with single photon as information carrier, can theoretically provide an absolutely secure way for secret communication through the one time pad scheme of the classical security system. Through a comprehensive analysis with the Lagrange multiplier, the distribution of quantum bit error rate in the way of using only one operator in active phase compensation attack model is obtained. Based on this, the attack model measured by multiple operators is theoretically simulated. The result shows that when different operators are chosen to launch the attack, the relationship between the additional bit error rate and the bit ratio (the ratio of bit 0 and bit 1 in the final quantum key) varies, and the additional quantum bit error rate introduced by hacking is also different when the bit ratio is close to 1. This result has certain reference value to the practical security problems based on the classical mutual process.