Continuous rotary sliding drilling system and method

The invention provides a continuous rotating and sliding well drilling system and method.The continuous rotating and sliding well drilling system comprises a wireless transmission mechanism, a drill rod, a controllable rotating and sliding execution tool, a measurement-while-drilling tool and a screw drill which are sequentially connected, the controllable rotating and sliding execution tool comprises a body, a first rotating mechanism, a clutch mechanism, a second rotating mechanism and a control mechanism, and the control mechanism can control the clutch mechanism to be intermittently switched into a first state or a second state at a preset frequency, so that an error value between a target tool face angle and a real-time tool face angle tends to an error allowable range; the clutch mechanism in the first state can be connected with the second rotating mechanism so that the first rotating mechanism can drive the second rotating mechanism to rotate, and the clutch mechanism in the second state can be discon