In which battle did the Western Han Dynasty recapture the Hetao area?

After 60 or 70 years of rest and recuperation, the economic, military and political forces have been unprecedentedly strengthened, and the conditions for fighting against the Huns are ripe. So Emperor Wu of the Han Dynasty changed his in-laws policy and launched a war against the Huns. During the ten years from the sixth year of Yuanguang (129 BC) to the fourth year of Yuanshou (1 19 BC), Han and Xiongnu fought more than ten times, including three large-scale wars. The first time was the battle of Henan. In the second year of yuanshuo (127 BC), Emperor Wu of the Han Dynasty sent Wei Qing to lead an army to attack and drive the Xiongnu out of the Hetao area, and set up two counties, namely Shuofang and Wuyuan. At the same time, Qin Changcheng in this area was restored, and 654.38+10,000 people were placed here to develop defense. Hetao area is fertile and suitable for agriculture and animal husbandry, and it is the base for Xiongnu to move south. Recovering the Hetao area relieved the Xiongnu's threat to the capital Chang 'an. The second battle was to recover Hexi area, which was called Hexi Campaign in history. In the second year of Yuanshou (12 1 years ago), Emperor Wu of the Han Dynasty took Huo Qubing as a general in title of generals in ancient times, led an army out of Longxi to attack the Xiongnu, and the Han army marched more than 1,000 miles west to conquer Yan Zhi (now southeast of Shandan, Gansu) and Qilian Mountain, and defeated the Xiongnu. The Western Han Dynasty occupied the Hexi Corridor and established four counties: Zhangye, Jiuquan, Wuwei and Dunhuang. The establishment of four counties in Hexi reconnected the direct traffic between the mainland and the western regions, isolated the connection between Xiongnu and Qiang, and weakened the power of Xiongnu.

The third campaign was the Mobei campaign launched in the fourth year of Yuan Shou (BC 1 19). This is the time when Emperor Wu of the Han Dynasty used the most troops against Xiongnu. Emperor Wu of the Han Dynasty ordered Wei Qing and Huo Qubing to lead 50,000 cavalry each and attack in two ways at the same time, crossing the desert and attacking Mobei. Wei Qing led the army to fight against the Huns and annihilated the main force of the Huns. Xiongnu Khan defeated hundreds of cavalry and fled. The Han army pursued Zhao Xincheng in Yanshan Mountain (now Hangaishan, Mongolia). Huo Qubing led the army to attack from the East Road, defeated the Xiongnu left, killed more than 70,000 Xiongnu people, and hit Xushan (near Ulaanbaatar, Mongolia) all the way to the Han Sea (about Lake Baikal). The Han army won a decisive victory in this battle. "After that, the Huns fled far away, and there was no court in the south of the desert."