【正文】 由樹狀圖(或表格)可以看出，所有可能出現(xiàn)的結(jié)果共有9種，分刎是：22，23，24，32．33，34，42，43，44，而且每種結(jié)果出現(xiàn)的可能性都相同，而其中組成的兩位數(shù)是2的倍數(shù)的結(jié)果共有6種，是3的倍數(shù)的結(jié)果共有3種． ∴P(小明勝)=， ∴P(小亮勝)= ∴P(小明勝) P(小亮勝)， ∴這個游戲規(guī)則對雙方不公平．[來源:學(xué)_科_網(wǎng)] 評分說明：第①小題2分，第②小題2分，第③小題1分．如圖． 若考生作兩條邊或三條邊的垂直平分線不扣分．（相切）（或） 22.（1）評分說明：第①小題2分，第②小題2分，第③小題1分．如圖． 若考生作兩條邊或三條邊的垂直平分線不扣分．（2）（相切）（或）23.（1）解：平均數(shù)中位數(shù)方差甲組1414乙組1415 （2）解：折線圖如右圖． （3） 解：從折線圖可看出：甲組戚績相對穩(wěn)定，但進(jìn)步不大，且略有下降趨勢． 乙組成績不夠穩(wěn)定，但進(jìn)步較快，呈上升趨勢． 評分說明：答案不唯一，只要符合題意即可得分．24. 解：樹DE的高度為6米。[來源:]25. （1）證明：略（2）解：相等證明：如圖，過點E作EG⊥AC于G．又∵ AF平分∠CAB，ED⊥AB，∴ED=EG． 由平移的性質(zhì)可知：D’E’=DE，∴D’E’ =GE． ∵∠ACB=90176。． ∴∠ACD+∠DCB=90176。[來源:Z|xx|] ∵CD⊥AB于D． ∴∠B+∠DCB=90176。．∴ ∠ACD=∠B在Rt△CEG與Rt△BE’D’中，∵∠GCE=∠B，∠CGE=∠BD’E’，CE=D’E’ ∴△CEG≌△BE’D’∴CE=BE’ 由（1）可知CE=CF，(其它證法可參照給分)．：（1）(3,4)；（2）根據(jù)題意，得OP=t，AQ=2t．分三種情況討論： ①當(dāng)時，如圖l，M點的坐標(biāo)是（）．過點C作CD⊥x軸于D，過點Q作QE⊥ x軸于E，可得△AEO∽△ODC∴，∴，∴，∴Q點的坐標(biāo)是（），∴PE=∴S=②當(dāng)時，如圖2，過點q作QF⊥x軸于F，∵，∴OF=∴Q點的坐標(biāo)是（），∴PF=∴S=③當(dāng)點Q與點M相遇時，解得。③當(dāng)時，如圖3，MQ=，MP=4.S=①②③中三個自變量t的取值稹圍．……………………(8分) 評分說明：①、②中每求對l個解析式得2分，③中求對解析式得l分．①②③中三個自變量t的取值范圍全對 才可得1分．(3) 試求題(2)中當(dāng)t為何值時，S的值最大，并求出S的最大值。解：① 當(dāng)時，∵，拋物線開口向上，對稱軸為直線， ∴ 當(dāng)時，S隨t的增大而增大。 ∴ 當(dāng)時，S有最大值，最大值為．②當(dāng)時。∵，拋物線開口向下．∴當(dāng)時，S有最大值，最大值為． ③當(dāng)時，∵．∴S隨t的增大而減?。帧弋?dāng)時，S=14．當(dāng)時，S=0．∴．綜上所述，當(dāng)時，S有最大值，最大值為。評分說明：①②③各1分，結(jié)論1分；若②中S與t的值僅有一個計算錯誤，導(dǎo)致最終結(jié)論中相應(yīng)的S或t有誤，則②與結(jié)論不連續(xù)扣分，只扣1分；③中考生只要答出S隨t的增大而減小即可得分． （4）隨著P、Q兩點的運動，當(dāng)點M在線段CB上運動時，設(shè)PM的延長線與直線相交于點N。試探究：當(dāng)t為何值時，△QMN為等腰三角形？請直接寫出t的值．解：當(dāng)時，△QMN為等腰三角形．2011山西省中考英語試題第Ⅰ卷Ⅰ、聽力試題　第一題：情景反應(yīng)　這一大題共有5個小題，每小題你將所聽到一組對話。請從每小題所給的A、B、C三幅圖片中，選出你所聽到的信息相關(guān)聯(lián)的一項，并在答題卡將該項涂黑。第二題：對話理解　這一大題共有5個小題，每小題你將所聽到一組對話和一個問題。請從每小題所給的A、B、C三個選項中，選出一個最佳，并在答題卡將該項涂黑。6. A. boring B. annoying C. exciting 7. A. go shopping B. hang out C. surf the internet 8. A. for eight years B. for eleven years C. for nineteen years 9. A. at home B. on a school bus C. at school 10. A. she was good at English B. she didn’t study hard C. she was hardworking 第三題：語篇理解　這一大題你將聽到一篇短文。請你根據(jù)短文內(nèi)容和所提出的5個問題，請從每小題所給的A、B、C三個選項中，選出一個最佳，并在答題卡將該項涂黑。11. How did the boy feel when he was in Junior 7?A. Happy B. Lonely C. Confident 12. What happened to the boy that day?A. He had a fight with his classmate B. He had a discussion with his friends C. He had an argument with his parents 13. Who helped him out? A. His father B. His teacher C. His monitor 14. When did the boy begin to change?A. After he made friends with Mark. B. After Mark moved to another city C. After his classmates became friendly to him.15. What is the boy’s life like now?[來源:學(xué)科網(wǎng)]A. He bees a monitor B. He is positive in his life C. His parents are still mad at him. Ⅱ、單項選擇　請從每小題所給的A、B、C三個選項中，選材可以填入空白處的最佳選項，并在答題卡上將該項涂黑?！?011山西】16. The book might be my sister’s. Hemingway is _____ favorite author. A. his B. her C. my 答案：B 【解析】物主代詞的用法。根據(jù)句意“這本書可能是我妹妹的。海明威是她最喜愛的作者”，可知選B?！?011山西】17. Read the ______ carefully. They will help you know how to use the popper. A. instructions B. decisions C. results 答案：A 【解析】名詞辨析。Instruction意為“說明”，decision意為“決定”， result意為“結(jié)果”。根據(jù)句意“仔細(xì)閱讀說明”可知選A。【2011山西】18. I need a costume for tomorrow’s performance, but it’s too expensive. Why not _____ one?A. buy B. rent C. lend 答案：B 【解析】動詞辨析。Buy意為“買”，rent意為“租用”，lend意為“借”。根據(jù)上文“我需要一套明天表演的衣服，但是它太貴了。”可知下文為“為什么不租一個嗎？”因此選B?！?011山西】19. Why are you staying up so late playing puter games again? Stop being so ______!A. funny B. silly C. serious 答案：B 【解析】形容詞辨析。Funny意為“有趣的”， silly意為“傻的，愚蠢的”，serious意為“嚴(yán)肅的，認(rèn)真的”。根據(jù)句意“你為什么又熬夜打電腦游戲？停止如此愚蠢的行為”，可知選B。【2011山西】20. The bag that my grandpa made for me ____ gets out of style, but it is still the best thing in my mind. A. usually B. normally C. gradually 答案：C 【解析】副詞辨析。Usually意為“通常”，normally意為“正常地”，gradually意為“逐漸地”。根據(jù)句意可知選C?！?011山西】 talented boy ____ write lyrics when he was at the age of ten. A. may B. could C. must 答案：B 【解析】考查情態(tài)動詞的用法。May意為“可以”，can意為“能，會”，must意為“必須”。根據(jù)句意“當(dāng)他10歲時這個多才的男孩就能寫歌詞了?！笨芍硎灸芰?，并且用過去時態(tài)?！?011山西】22. _____ they have some opposite view, they all think Chinese medicine is helpful. A. Until B. Although C. Since 答案：B 【解析】連詞的用法。Until意為“直到…為止”，引導(dǎo)時間狀語從句，although意為“雖然，盡管”引導(dǎo)讓步狀語從句，since意為“自從…以來”，引導(dǎo)時間狀語從句。根據(jù)上下文可知選B。[來源:學(xué)*科*網(wǎng)Z*X*X*K]【2011山西】23. Drivers shouldn’t be allowed _____ after drinking, or they will break the law. A. drive B. driving C. to drive 答案：C 【解析】非謂語動詞的用法。Be allowed to do sth為固定搭配意為“被允許做某事”。因此選C?！?011山西】24 Shall we go the museum? All right! I hear there are many firstclass photographs ______.A. on show B. on board C. on sale [來源:Z167。xx167。]答案： A【解析】介詞短語的用法。On show意為“展覽，展示”，on board 意為“在國外”，on sale 意為“出售”。根據(jù)句意可知選A?！?011山西】25. How I wish I could sleep longer! However, I had to get up as soon as the alarm clock ______.A. ran off B. went off C. took off 答案：B【解析】動詞短語的辨析。Run off go off 意為“take off意為“脫下，起飛”?！?011山西】26. The sense of happiness will increase if you ______ what you like to do. A. do B. did C. will do 答案：A【解析】動詞時態(tài)。If 意為“如果”引導(dǎo)條件狀語從句，時態(tài)為“主將從現(xiàn)”，即主句為將來時，從句用一般現(xiàn)在時。因此選A。【2011山西】27. The tour guide has made the route for the school trip. We don’t need to ____ that. A. be worried about B. be afraid of C. be sorry for答案：A【解析】固定短語的考查。Be worried about 意為“擔(dān)心，憂慮”，be afraid of 意為“害怕”，be sorry for 意為“抱歉”。 根據(jù)句意“導(dǎo)游已經(jīng)制定了旅游路線。我們不需要擔(dān)心”，可知選A。【2011山西】28. Could you please help me choose an Mp4 player online? ________. My puter doesn’t work. A. I don’t agree B. I hope so C I’m afraid I can’t. 答案：C【解析】情景交際。此題考查請求別人幫助的交際用語。根據(jù)下文回答“我的電腦不工作了”，可知為不能幫助。因此選C。【2011山西】29. I made some mistakes at the dinner table last night. _______. I’ll tell you some table manners later. A. Never mind B. of course C. You’re wele 答案：A【解析】情景交際。Never mind 意為“不介意，沒關(guān)系”，of course 意為“當(dāng)然”，You’re wele 意為“不客氣”。根據(jù)上文“昨天晚上吃飯時我犯了一些錯誤”，可知應(yīng)該選A?！?011山西】30. Mr. Li, I found a watch on the playground. You should try to find out ______A. whose is the watch B. who is the owner of th