2022年山東省淄博市中考數(shù)學(xué)試題及參考答案

2022年山東省淄博市中考數(shù)學(xué)試題及參考答案年山東省淄博市中考數(shù)學(xué)試題及參考答案全文共12頁，當前為第9頁。數(shù)學(xué)試題參考答案及評分標準2022年山東省淄博市中考數(shù)學(xué)試題及參考答案全文共12頁，當前為第9頁。一、選擇題：本大題共12個小題,每小題5分，共60分。題目123456789101112題號ADCDBACCDBAB二、填空題：本大題共5個小題，每小題4分，共20分。13．a(chǎn)≥514．x（x+3）（x-3）15．（1，3）16．-217．（-2023，2022）三、解答題：本大題共7個小題，共70分。18．（本題滿分8分）解：整理方程組得，···················2分①×2—②得—7y=7，y=1，············································4分把y=1代入①得x—2=3，解得x=5，·············································6分∴方程組的解為.············································8分19．（本題滿分8分）證明：∵△ABC是等腰三角形∴∠EBC＝∠DCB，·······················································2分在△EBC與△DCB中∴BE=CD，BC=CB∴△EBC≌△DCB(SAS)，··················································6分∴BD＝CE；······························································8分20．（本題滿分10分）解：（1）將點A(1，2)代入y=，得m=2，∴雙曲線的表達式為：y＝，···········································1分把A（1，2）和B（4，0）代入y＝kx+b得：y＝，解得：，·········································3分2022年山東省淄博市中考數(shù)學(xué)試題及參考答案全文共12頁，當前為第10頁?！嘀本€的表達式為：y＝x+；·········································4分2022年山東省淄博市中考數(shù)學(xué)試題及參考答案全文共12頁，當前為第10頁。（2）聯(lián)立，解得，或··························5分∵點A的坐標為（1，2），∴點B的坐標為（3，），···············································6分∵S△AOB=S△AOB-S△AOB=OC·—OC·=×4×2—×4×=，∴△AOB的面積為；·······································8分（3）1<m<3····························································10分21．（本題滿分10分）解：（1）12099························································4分（2）如圖：··············8分（3）把“禮儀”“陶藝”“園藝”“廚藝”及“編程”等五門校本課程分別記為A、B、C、D、E，畫樹狀圖如下：2022年山東省淄博市中考數(shù)學(xué)試題及參考答案全文共12頁，當前為第11頁。2022年山東省淄博市中考數(shù)學(xué)試題及參考答案全文共12頁，當前為第11頁。共有25種等可能的結(jié)果，其中小剛和小強兩人恰好選到同一門課程的結(jié)果有5種，∴小剛和小強兩人恰好選到同—門課程的概率P=············································10分22．（本題滿分10分）解：小明能運用以上數(shù)據(jù)，得到綜合樓的高度，理由如下:作EG⊥AB，垂足為G，作AH⊥CD，垂足為H，如圖：····················2分由題意知，EG=BF=40米，EF=BG=12.88米，∠HAE=16°=∠AEG=16°，∠CAH=9°，在Rt△AEG中，tan∠AEG=，∴tan16°=，即0.287≈，············································4分∴AG=40×0.287=11.48（米），∴AB=AG+BG=11.48+12.88=24.36（米），····································6分∴HD=AB=24.36米，在Rt△ACH中，AH=BD=BF＋FD=80米，tan∠CAH=，∴tan9°=，即0.158≈，··········································8分∴CH=80×0.158=12.64（米），∴CD=CH＋HD=12.64＋24.36=37.00（米），則綜合樓的高度約是37.00米.·············································10分2022年山東省淄博市中考數(shù)學(xué)試題及參考答案全文共12頁，當前為第12頁。