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There are six rabbits by the river.

According to the known topics:

There are 14 rabbits in mother rabbit's house. Mother rabbit and seven rabbits are crossing the river.

That is, 7+ 1=8 rabbits crossed the river.

So there are rabbits by the river, which is the total number of rabbits MINUS the number of rabbits crossing the river, which is 14-8=6 rabbits.

Verification:

Rabbits crossing the river and along the river are the total number of rabbits, so 6+7+ 1= 14. That is, it meets the known conditions of the topic, so the answer is 6 rabbits.

The steps of expanding data to solve such application problems are mainly divided into the following three steps:

1, understand the meaning of the question: understand the content of the application question, clearly understand the conditions and problems of the application question, and understand the meaning of each sentence in the question.

2. Choose algorithm calculation: this is the center to solve application problems. According to the given conditions and questions, analyze the quantitative relationship, determine the algorithm, answer and indicate the correct unit name.

3. Check: check according to the conditions and problems of the application questions to see if the listed formulas and calculation processes are correct and conform to the meaning of the questions.