Solves mathematics competition topic certain thinking method Take mathematics competition topic as the carrier， elaborated mathematics thinking method implication: Mathematics thought is knew to mathematics knowledge essence that is overweight refines the rise from certain concrete mathematics content and to mathematics understanding mathematics viewpoint， is mathematics knowledge structure essence and the soul， it the command and the control mathematics knowledge It is utilized repeatedly in the understanding activity， has the universal guiding sense， is establishes mathematics and solves the question guiding principle using The mathematical method refers to mathematics， in proposed that the question， solves in the question process， uses each way， method， way and so on; Has enumerated the algebra substitution law， the addition effective condition in mathematics competition in the problem solving application; Has demonstrated mathematics unification beautifully， simple beautiful， symmetrical beautiful， strange beautiful 数学思想；Mathematics thought数学方法；Mathematical method竞赛；Competition代换法；Substitution method增设条件Addition condition
The pigeon-hole principle's utilization domain is widespread， it is in a combinatorics most cardinal principle， may solve using the pigeon-hole principle many involves the existence combination In the 20th century period， many research are aim at the pigeon-hole principle the promotion， has achieved the crest in the Ramsey Is precisely as a result of the pigeon-hole principle utilization universality， but in view of different type topic explanation method existence very big difference， therefore the pigeon-hole principle's structure method is also many and This article has carried on the reorganization， the summary in view of these methods， has formed seven commonly used structure
