Abstract Crawler robot research and development in recent years has been great attention, as tracked mobile robots as tools and tank are two environments to adapt to a variety of road track, with good adhesion traction, and the track-type machine Configuration of people and terrain conditions can make the appropriate changes in operational requirements, in the power, stability and reliability, and many other aspects of mobile robot slightly better than the other, and it can meet some special performance requirements, and other mobile Robots In comparison, more competent crawler robot tasks under adverse circumstances. The crawler robot graduation to participate in a rescue mission for the imaginary fire and rescue process for a variety of environmental conditions, design and planning of the rescue crawler robot tasks in the fire walking path. Among them, the main purpose of path planning algorithm is based on the theory of planning out a rescue robot in the rescue environment with various obstacles and tasks the optimal collision-free path. Upon completion of the theory of designing the path planning and path planning based on the theoretical design method of fuzzy rolling RRT path of the simulated rescue robot design. Finally, the theory of path planning algorithm and simulation to verify the design of the fire rescue crawler robot path planning task in the feasibility of the design. Key words: tracked robot; path planning; rescue environment; obstacles; theoretical algorithm; fuzzy rolling RRT algorithm

Extreme problem is an important problem in mathematics. A mathematical problem have extrema, and in what point is to solve obtain extremum extremum problems of the key. Solving extreme value and maximum of a relationship, and the most value obtained in what point is very important issues in mathematics. This paper introduces the concept of free extremum, discussed some of the most value of extreme value, solving methods and how to use extreme value to testify inequality, and the solving method of extremum, solving extreme problems need to be aware of some places made some supplements and promotion. Hope can give learning extremum friends benefits 行不行啊？如果不行，再联系我~~