Second, the inevitability of influencing historical development is manifested through countless accidental events. Therefore, when studying history, we must be good at finding out the inevitable laws hidden in the process of historical development through accidental events. Take the failure of the Revolution of 1911 as an example. 19110 In June, after the success of Wuchang Uprising, the provinces became independent from the Qing Dynasty, and the rule of the Qing Dynasty collapsed. However, in March, 19 12, Yuan Shikai became the provisional president of the Republic of China and usurped the fruits of the victory of the 1911 Revolution. Why did the Revolution of 1911 fail so quickly? There are many reasons: the Three People's Principles, as the program of bourgeois democratic revolution, did not clearly put forward a thorough anti-imperialist and anti-feudal proposition and could not mobilize the broad masses of the people for revolution; As a bourgeois political party leading the revolution, the League was disorganized and split at the same time as the revolution developed smoothly, so it could not play a leading role. In the process of launching the uprising, the revolutionaries simply relied on communist party and the new army, but did not mobilize the broad masses of the people and establish a strong revolutionary armed force; After Wuchang Uprising, with the rapid development of the national revolutionary situation, the constitutionalists and old bureaucrats in various provinces speculated on the revolution one after another, which led to the serious impurity of the revolutionary ranks. They controlled most of the local political power and made trouble in the revolutionary camp. After the establishment of the Nanjing Provisional Government, in the Letter to Friends, it was acknowledged that a series of unequal treaties signed by the Qing government and imperialist countries were still valid. Under the pressure of imperialism, under the attack of the constitutionalists and the old bureaucrats, and under the deception of Yuan Shikai, the revolutionaries were forced to compromise and cede power to Yuan Shikai, which eventually led to the failure of the Revolution of 1911. The crux of all these reasons stems from one thing: China's national capitalism was born in a semi-colonial and semi-feudal society, and its development was never fully developed under the double oppression of foreign capitalism and domestic feudalism. The capitalist economic power is relatively weak, which leads to political weakness and compromise of the national bourgeoisie. The reason why the Revolution of 1911 didn't complete the anti-imperialist and anti-feudal task, didn't completely change the nature of China's semi-colonial and semi-feudal society, and the road of bourgeois republic didn't work in China, in the final analysis, was that China's capitalism was not fully developed and the bourgeoisie was weak and compromised. The failure of the Taiping Heavenly Kingdom Movement, the Reform Movement of 1898 and the Boxer Movement in China's modern history can also be analyzed in a similar way.
Mathematical modeling, as a way of mathematical learning, is a form of cultivating students' awareness of applying mathematics and cult