Correct answer: problem solving and analysis
(1) The Boxer Rebellion put forward the slogan of "helping the Qing Dynasty to destroy the foreign countries", which always put the destruction of the foreign countries in the first place in thought and action, reflecting the change of the main contradiction in China society at that time, that is, the contradiction between imperialism and the Chinese nation became the most important contradiction in China society, which was patriotic and had an encouraging and mobilizing effect on the Boxer Rebellion and the broad masses' anti-imperialist patriotic struggle. However, this slogan was not put forward by the Boxer Rebellion after a scientific analysis of the main social contradictions in China. It is the product that the peasant class's understanding of the reactionary forces at home and abroad is still in the perceptual stage.
(2) The slogan of "helping the Qing Dynasty to destroy the foreign countries" inherits the simple understanding gradually formed by the people in the anti-church struggle, and also reflects that the vast number of small producers who do not represent the new productive forces cannot break through the feudal ideological shackles of imperial power and can only stay in the stage of understanding that the feudal country is defending as an invaded whole.
(3) "national subjugation and extinction" touches on the theme of national salvation in the times, but falls behind in blind xenophobia; Although "Fu Qing" means patriotism and national protection, equating the concepts of "China" and "Qing Dynasty" subjectively reflects that the Boxer Movement did not oppose the Qing government and feudal system.
(4) The proposal of this slogan initially played a role in mobilizing and organizing farmers to participate in the struggle and expanding the momentum, and influenced the policies of the Qing government to a certain extent. However, the slogan also made the Boxer Rebellion relax its vigilance against the Qing government in the struggle, and failed to see through the intrigues of the Qing government, which led to being cheated later.