學(xué)習(xí)的目的是為了使自然人過(guò)渡到社會(huì)人、使社會(huì)人更好地服務(wù)于社會(huì),由于社會(huì)時(shí)刻在發(fā)生著變化,因此,一個(gè)良好的社會(huì)人必需具備適應(yīng)社會(huì)變化的能力。讓學(xué)生懂得用現(xiàn)成的方法解決現(xiàn)成的問(wèn)題僅僅是學(xué)習(xí)的第一步,學(xué)習(xí)的更高境界是提出新問(wèn)題、提出解決問(wèn)題的新方案。因此首先必須改變那種只局限于教師給題學(xué)生做題的被動(dòng)的、封閉的意識(shí),為了使數(shù)學(xué)適應(yīng)時(shí)代的需要,我們選擇了數(shù)學(xué)開放題作為一個(gè)切入口,開放題的引入,促進(jìn)了數(shù)學(xué)教育的開放化和個(gè)性化,從發(fā)現(xiàn)問(wèn)題和解決問(wèn)題中培養(yǎng)學(xué)生的創(chuàng)新精神和實(shí)踐能力。
關(guān)于開放題目前尚無(wú)確切的定論,通常是改變命題結(jié)構(gòu),改變?cè)O(shè)問(wèn)方式,增強(qiáng)問(wèn)題的探索性以及解決問(wèn)題過(guò)程中的多角度思考,對(duì)命題賦予新的解釋進(jìn)而形成和發(fā)現(xiàn)新的問(wèn)題。近兩年高考題中也出現(xiàn)了開放題的“影子”,如1998年第(19)題:“關(guān)于函數(shù)f(x)=4Sin(2x+π/3)(x∈R),有下列命題:①由f(x1)=f(x2)=0可得x1-x2必是π的整數(shù)倍;②y=f(x)的表達(dá)式可改寫為y=4Cos(2x-π/6):③y=f(x)的圖象關(guān)于點(diǎn)(-π/6,0)對(duì)稱;④y=f(x)的圖象關(guān)于直線x=-π/6對(duì)稱。其中正確的命題是──(注:把你認(rèn)為正確的命題的序號(hào)都填上)”顯然《高中代數(shù)》上冊(cè)第184頁(yè)例4“作函數(shù)y=3Sin(2x+π/3)的簡(jiǎn)圖!笨勺鳛槠湓汀W(xué)生如果明白這些道理就會(huì)產(chǎn)生對(duì)問(wèn)題開放的需求,逐步形成自覺(jué)的開放意識(shí)。又如2000年理19文20題 函數(shù)單調(diào)性的參數(shù)取值范圍問(wèn)題(既有條件開放又有結(jié)論的開放,條件上,對(duì),是選擇,還是選擇?選擇前者則得,以后的道路荊棘叢生,而選擇后者則有,以后的道路一片光明;結(jié)論開放體現(xiàn)在結(jié)論分為兩段,一段上可使函數(shù)單調(diào),另一段上不單調(diào),且證明不單調(diào)的方法是尋找反例);
從數(shù)學(xué)考試中引進(jìn)一定的結(jié)合現(xiàn)實(shí)背景的問(wèn)題和開放性問(wèn)題,已引起了廣大數(shù)學(xué)教育工作者的極大關(guān)注,開放題的研究已成為數(shù)學(xué)教育的一個(gè)熱點(diǎn)。
29.Do you expect to be any possibility that he will be elected chairman?
A.it B.that C.one D.there
答案 D
28.-When shall we meet again to discuss our vacation plan?
-Anytime you feel like .
A.one B.so C.it D.that
答案 C
27.In our city,more and more people want to buy expensive cars,but as to me,I would like
less than 100,000 yuan rather than over the amount.
A.this B.it C.that D.one
答案 D
26.-What an amazing film!It’s the most interesting film I’ve ever seen.
-But I’m sure it won’t interest .
A.somebody B.anybody C.nobody D.everybody
答案 D
25.-Do you think worthwhile to go all the way to Los Angles to buy that computer?
-Well,I’m going to visit some relatives,too.
A.it B./ C.this D.that
答案 A
24.-Bob isn't feeling very well.He has caught a cold.
-Everybody seems to have because of the sudden change of the weather.
A.one B.it C.that D.another
答案 A
23.-What do you think of the performance today?
-Great! But a musical genins could perform so successfully.
A.All B.None C.Anybody D.Everybody
答案 B
22.No one knows exactly when our ancestors started talking,but new evidence suggests might
have happened a long time ago.
A.which B.what C.it D.they
答案 C
21. professional violinist practices for several hours a day,but violinist has
his own way of playing the Beethoven concert.
A.Each;every B.Every;each C.All;every D.Either;every
答案 B
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