China, which has never renounced the use of force to bring democratically governed Taiwan under its control, has stepped up military and political pressure against the island in recent years.
"The focus is on exercises such as combat readiness patrols at sea and in the air, seizing comprehensive control, striking maritime and land targets and imposing blockade controls on key areas and routes," a statement from Eastern Theater Command said on Tuesday on its official WeChat social media account.
Taiwan's Defence Ministry said in a statement on Tuesday that China's Shandong aircraft carrier group had entered its response area on Monday, adding the group had dispatched military aircraft and ships and activated land-based missile systems in response.
"The Chinese Communist Party has continued to increase its military activities around Taiwan and in the Indo-Pacific region ... and has become the biggest 'troublemaker' in the international community," the statement added.
A series of propaganda videos were released in quick succession after the announcement, depicting Chinese warships and fighter jets encircling the island, Taipei being aimed at from above, and military vehicles patrolling city streets.
A poster accompanying the drills titled "Closing In," and showing Chinese warships and fighter jets circling the island, was released shortly after the announcement on the Command's Weibo.
A video titled "Shell", and depicting Lai Ching-Te as a cartoon bug held by a pair of chopsticks above a burning Taiwan, was on the Command's WeChat page.
"Parasite poisoning Taiwan island. Parasite hollowing Island out. Parasite courting ultimate destruction," the animation said.
Taiwan's government did not immediately respond to a request for comment on China depicting Lai as a bug.