Swallow Zhao Metropolis Daily

Suffer seek a teacher: Qi Zhihua, institute of Beijing University maths is taught, it is the mathematical education expert that our country has outstanding contribution, enjoy government of the State Council special allowance. He or Chinese maths Olympic are advanced expert of proposition of contest of maths of coach, whole nation. As 21 centuries " teacher of countrywide middle and primary school continues to teach core class to groom teaching material " mathematical chief editor, professor Qi Zhihua is engaged in maths of the university entrance exam considering for years, the teaching experience that together with accumulates a few years, make he is having original opinion to maths of the university entrance exam.

If ask " how do on plane two distances between the dot beg " the student answer of 95% above is: The reopen of sum of squares with poor coordinate
Square.

Will read a tall examination paper again: In department of planar rectangular coordinates, foregone at 2 o'clock A(cos80 ° , sin80 ° ) , b(cos20 ° ,

Sin20 ° ) , beg | AB | = ? Carry pair of examination paper count, the classmate of 95% above is to use the distance formula between 2 o'clock and trigonometric function to change commutation goes seeking solution, time of average answering question is 11 minutes.

Actually, look from the angle of intelligent maths, should learn mathematical ground to go only communication, changeover and state, by round parameter equation (X=cos θ , y=sin θ ) know: Dot A, B is on unit round O, and ∠ AOB=80 ° - ° of 20 ° =60, the graph that combines round O is knowable | AB | =r=1(need not draw, need to envisage) only, answering question time is not worth 1 minute, see with half an eye.

Because be in the education process in the past,be, we are paid attention to overly with " ABC height adroitness is changed " for the center, simple ground is imitated through mechanical memory, machinery and machinery practices, inscribe naval battle art especially, will achieve the high adroitness to ABC, just make the child appeared thinking formulary, appeared devoted, yield of disproportionate " foolish solution " and " slow law " .

Countless example prove, mathematical thinking method, study method is crucial. Had good thinking convention and study method, can achieve the result of get twice the result with half the effort not only, when learning new knowledge more can draw inferences about other cases from one instance.

In summary domestic and international thinking trains the premise of successful experience to fall, professor Qi Zhihua was initiated with " outline of mathematical thought education " replace " mathematical ability develops outline " new page, the education open up that is ability of maths of high school student at the same time an exercisable is quick way.

Qi Zhihua is taught from very specific detail proceed with, the characteristic such as the age that is born according to high school, psychology and intellectual reserve, pass a series of typical example, classify, explain the profound things in a simple way, quote copiously from many sources, let a high school student place emergence from inside the Fan Li of traditional and mechanical maths, abandon " with center of melt into of ABC height adroitness " old pattern, propose form " it is a center with mathematical thoughtway " new pattern, master with " intelligent maths " the new thinking that solves a problem and new method, improve study efficiency and exam result quickly.
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