2008年河北省初中畢業(yè)生升學(xué)文化課考試數(shù)學(xué)試題(有答案)word版

2008年河北省初中畢業(yè)生升學(xué)文化課考試數(shù)學(xué)試卷本試卷分卷和卷兩部分；卷為選擇題，卷為非選擇題本試卷滿(mǎn)分為120分，考試時(shí)間為120分鐘卷（選擇題，共20分）注意事項(xiàng)1答卷前，考生務(wù)必將自己的姓名、準(zhǔn)考證號(hào)、科目填涂在答題卡上，考試結(jié)束，監(jiān)考人員將試卷和答題卡一并收回2每小題選出答案后，用2B鉛筆把答題卡上對(duì)應(yīng)題目的答案標(biāo)號(hào)涂黑答在試卷上無(wú)效一、選擇題（本大題共10個(gè)小題；每小題2分，共20分在每小題給出的四個(gè)選項(xiàng)中，只有一項(xiàng)是符合題目要求的）1的倒數(shù)是（）8ABCD81182計(jì)算的結(jié)果是（）23AABCD2443A4A3把某不等式組中兩個(gè)不等式的解集表示在數(shù)軸上，如圖1所示，則這個(gè)不等式組可能是（）ABCD1X，1X，4X，4X，4據(jù)河北電視臺(tái)報(bào)道，截止到2008年5月21日，河北慈善總會(huì)已接受支援汶川地震災(zāi)區(qū)的捐款15510000元將15510000用科學(xué)記數(shù)法表示為（）AB80540CD716155圖2中的兩個(gè)三角形是位似圖形，它們的位似中心是（）A點(diǎn)B點(diǎn)C點(diǎn)D點(diǎn)POMN6某縣為發(fā)展教育事業(yè)，加強(qiáng)了對(duì)教育經(jīng)費(fèi)的投入，2007年投入3000萬(wàn)元，預(yù)計(jì)2009年投入5000萬(wàn)元設(shè)教育經(jīng)費(fèi)的年平均增長(zhǎng)率為，根據(jù)題意，下面所列方程正確的是X（）AB23010X2305CD52130150XX7如圖3，已知的半徑為5，點(diǎn)到弦的距離為3，則上OAAOA到弦所在直線(xiàn)的距離為2的點(diǎn)有（）B401圖1OPMN圖2OBA圖3A1個(gè)B2個(gè)C3個(gè)D4個(gè)8同時(shí)拋擲兩枚質(zhì)地均勻的正方體骰子（骰子每個(gè)面上的點(diǎn)數(shù)分別為1，2，3，4，5，6）下列事件中是必然事件的是（）A兩枚骰子朝上一面的點(diǎn)數(shù)和為6B兩枚骰子朝上一面的點(diǎn)數(shù)和不小于2C兩枚骰子朝上一面的點(diǎn)數(shù)均為偶數(shù)D兩枚骰子朝上一面的點(diǎn)數(shù)均為奇數(shù)9如圖4，正方形的邊長(zhǎng)為10，四個(gè)全等的小正方形的對(duì)稱(chēng)中心分別在正方形AB的頂點(diǎn)上，且它們的各邊與正方形各邊平行或垂直若小正方形的邊長(zhǎng)為BDAC，且，陰影部分的面積為，則能反映與之間函數(shù)關(guān)系的大致圖象是（X01YYX）XADCB圖4YX10O100AYX10O100BYX10O100C5YX10O100D10有一個(gè)四等分轉(zhuǎn)盤(pán)，在它的上、右、下、左的位置分別掛著“眾”、“志”、“成”、“城”四個(gè)字牌，如圖51若將位于上下位置的兩個(gè)字牌對(duì)調(diào)，同時(shí)將位于左右位置的兩個(gè)字牌對(duì)調(diào)，再將轉(zhuǎn)盤(pán)順時(shí)針旋轉(zhuǎn)，則完成一次變換圖52，圖53分別表示第1次變換90和第2次變換按上述規(guī)則完成第9次變換后，“眾”字位于轉(zhuǎn)盤(pán)的位置是（）眾志成城圖51成城眾志圖52志成城眾第1次變換城眾志成圖53成城眾志第2次變換A上B下C左D右2008年河北省初中畢業(yè)生升學(xué)文化課考試數(shù)學(xué)試卷卷（非選擇題，共100分）注意事項(xiàng)1答卷前，將密封線(xiàn)左側(cè)的項(xiàng)目填寫(xiě)清楚2答卷時(shí)，將答案用藍(lán)色、黑色鋼筆或圓珠筆直接寫(xiě)在試卷上二、填空題（本大題共8個(gè)小題；每小題3分，共24分把答案寫(xiě)在題中橫線(xiàn)上）11如圖6，直線(xiàn)，直線(xiàn)與相交若，ABCAB，170則2_12當(dāng)時(shí)，分式無(wú)意義X31X12BA圖6CCOAB圖713若互為相反數(shù)，則MN，5MN14如圖7，與相切于點(diǎn)，的延長(zhǎng)線(xiàn)交于點(diǎn)，ABOBAOAC連結(jié)若，則C36_C15某班學(xué)生理化生實(shí)驗(yàn)操作測(cè)試成績(jī)的統(tǒng)計(jì)結(jié)果如下表成績(jī)/分345678910人數(shù)1122891512則這些學(xué)生成績(jī)的眾數(shù)為16圖8所示的兩架天平保持平衡，且每塊巧克力的質(zhì)量相等，每個(gè)果凍的質(zhì)量也相等，則一塊巧克力的質(zhì)量是G17點(diǎn)在反比例函數(shù)的圖象上，則231PM，YXM18圖91是我國(guó)古代著名的“趙爽弦圖”的示意圖，它是由四個(gè)全等的直角三角形圍成的若，將四個(gè)直角三角形中邊長(zhǎng)為6的直角邊6AC5B分別向外延長(zhǎng)一倍，得到圖92所示的“數(shù)學(xué)風(fēng)車(chē)”，則這個(gè)風(fēng)車(chē)的外圍周長(zhǎng)是ABC圖91圖92三、解答題（本大題共8個(gè)小題；共76分解答應(yīng)寫(xiě)出文字說(shuō)明、證明過(guò)程或演算步驟）19（本小題滿(mǎn)分7分）已知，求的值2X211X20（本小題滿(mǎn)分8分）某種子培育基地用A，B，C，D四種型號(hào)的小麥種子共2000粒進(jìn)行發(fā)芽實(shí)驗(yàn)，從中選出發(fā)芽率高的種子進(jìn)行推廣通過(guò)實(shí)驗(yàn)得知，C型號(hào)種子的發(fā)芽率為，根據(jù)實(shí)驗(yàn)數(shù)據(jù)繪95制了圖101和圖102兩幅尚不完整的統(tǒng)計(jì)圖（1）D型號(hào)種子的粒數(shù)是；（2）請(qǐng)你將圖102的統(tǒng)計(jì)圖補(bǔ)充完整；（3）通過(guò)計(jì)算說(shuō)明，應(yīng)選哪一個(gè)型號(hào)的種子進(jìn)行推廣；（4）若將所有已發(fā)芽的種子放到一起，從中隨機(jī)取出一粒，求取到B型號(hào)發(fā)芽種子的概率巧克力果凍50G砝碼圖8A35B20C20D各型號(hào)種子數(shù)的百分比圖101圖102ABCD型號(hào)8006004002000630370470發(fā)芽數(shù)/粒21（本小題滿(mǎn)分8分）如圖11，直線(xiàn)的解析表達(dá)式為，且與軸交于點(diǎn)，直線(xiàn)經(jīng)過(guò)點(diǎn)，1L3YX1LXD2LAB，直線(xiàn)，交于點(diǎn)1L2C（1）求點(diǎn)的坐標(biāo)；D（2）求直線(xiàn)的解析表達(dá)式；2L（3）求的面積；A（4）在直線(xiàn)上存在異于點(diǎn)的另一點(diǎn)，使得2LCP與的面積相等，請(qǐng)直接寫(xiě)出點(diǎn)的坐標(biāo)DP22（本小題滿(mǎn)分9分）氣象臺(tái)發(fā)布的衛(wèi)星云圖顯示，代號(hào)為W的臺(tái)風(fēng)在某海島（設(shè)為點(diǎn)）的南偏東方向的O45點(diǎn)生成，測(cè)得臺(tái)風(fēng)中心從點(diǎn)以40KM/H的速度向正北方向移動(dòng)，經(jīng)B106KMOBB5H后到達(dá)海面上的點(diǎn)處因受氣旋影響，臺(tái)風(fēng)中心從點(diǎn)開(kāi)始以30KM/H的速度向北偏CC西方向繼續(xù)移動(dòng)以為原點(diǎn)建立如圖12所示的直角坐標(biāo)系60（1）臺(tái)風(fēng)中心生成點(diǎn)的坐標(biāo)為，臺(tái)風(fēng)中心轉(zhuǎn)折點(diǎn)的坐標(biāo)為C；（結(jié)果保留根號(hào)）（2）已知距臺(tái)風(fēng)中心20KM的范圍內(nèi)均會(huì)受到臺(tái)風(fēng)的侵襲如果某城市（設(shè)為點(diǎn)）位于A點(diǎn)的正北方向且處于臺(tái)風(fēng)中心的移動(dòng)路線(xiàn)上，那么臺(tái)風(fēng)從生成到最初侵襲該城要經(jīng)過(guò)多O長(zhǎng)時(shí)間23（本小題滿(mǎn)分10分）L1L2XYDO3BCA2（4，0）圖11X/KMY/KM北東AOBC6045圖12在一平直河岸同側(cè)有兩個(gè)村莊，到的距離分別是3KM和2KM，LAB，AB，LKMABA現(xiàn)計(jì)劃在河岸上建一抽水站，用輸水管向兩個(gè)村莊供水1ALP方案設(shè)計(jì)某班數(shù)學(xué)興趣小組設(shè)計(jì)了兩種鋪設(shè)管道方案圖131是方案一的示意圖，設(shè)該方案中管道長(zhǎng)度為，且（其中于點(diǎn)）；圖132是方案二的示意圖，設(shè)1DKMPBABL該方案中管道長(zhǎng)度為，且（其中點(diǎn)與點(diǎn)關(guān)于對(duì)稱(chēng)，與2KDPALAB交于點(diǎn)）L觀察計(jì)算（1）在方案一中，KM（用含的式子表示）；1DA（2）在方案二中，組長(zhǎng)小宇為了計(jì)算的長(zhǎng)，作了如圖133所示的輔助線(xiàn)，請(qǐng)你按小宇2D同學(xué)的思路計(jì)算，KM（用含的式子表示）2探索歸納（1）當(dāng)時(shí)，比較大?。ㄌ睢啊?、“”或“”）；4A12_D當(dāng)時(shí)，比較大?。ㄌ睢啊?、“”或“”）；6（2）請(qǐng)你參考右邊方框中的方法指導(dǎo)，就（當(dāng)時(shí)）的所有取值情況進(jìn)A1行分析，要使鋪設(shè)的管道長(zhǎng)度較短，應(yīng)選擇方案一還是方案二24（本小題滿(mǎn)分10分）如圖141，的邊在直線(xiàn)上，且；的邊也ABCLACBCEFP在直線(xiàn)上，邊與邊重合，且LEFEFP（1）在圖141中，請(qǐng)你通過(guò)觀察、測(cè)量，猜想并寫(xiě)出與所滿(mǎn)足的數(shù)量關(guān)系和位A置關(guān)系；（2）將沿直線(xiàn)向左平移到圖142的位置時(shí)，交于點(diǎn)，連結(jié)，PLEQAABPLLABPC圖131圖132LABPC圖133K方法指導(dǎo)當(dāng)不易直接比較兩個(gè)正數(shù)與的大小時(shí)，MN可以對(duì)它們的平方進(jìn)行比較，2MN0與的符號(hào)相同當(dāng)時(shí)，即；0當(dāng)時(shí)，即；2NN當(dāng)時(shí)，即；猜想并寫(xiě)出與所滿(mǎn)足的數(shù)量關(guān)系和位置關(guān)系，請(qǐng)證明你的猜想；BQBAP（3）將沿直線(xiàn)向左平移到圖143的位置時(shí)，的延長(zhǎng)線(xiàn)交的延長(zhǎng)線(xiàn)于點(diǎn)EFLEPAC，連結(jié)，你認(rèn)為（2）中所猜想的與的數(shù)量關(guān)系和位置關(guān)系還成立嗎BQA若成立，給出證明；若不成立，請(qǐng)說(shuō)明理由A（E）BC（F）PLLLAABBQPEFFCQ圖141圖142圖143EPC25（本小題滿(mǎn)分12分）研究所對(duì)某種新型產(chǎn)品的產(chǎn)銷(xiāo)情況進(jìn)行了研究，為投資商在甲、乙兩地生產(chǎn)并銷(xiāo)售該產(chǎn)品提供了如下成果第一年的年產(chǎn)量為（噸）時(shí)，所需的全部費(fèi)用（萬(wàn)元）與滿(mǎn)足關(guān)XYX系式，投入市場(chǎng)后當(dāng)年能全部售出，且在甲、乙兩地每噸的售價(jià)，21590YXP甲（萬(wàn)元）均與滿(mǎn)足一次函數(shù)關(guān)系（注年利潤(rùn)年銷(xiāo)售額全部費(fèi)用）P乙（1）成果表明，在甲地生產(chǎn)并銷(xiāo)售噸時(shí)，請(qǐng)你用含的代數(shù)式表示X1420PX甲X甲地當(dāng)年的年銷(xiāo)售額，并求年利潤(rùn)（萬(wàn)元）與之間的函數(shù)關(guān)系式；W甲（2）成果表明，在乙地生產(chǎn)并銷(xiāo)售噸時(shí)，（為常數(shù)），且在乙地當(dāng)年X1XN乙的最大年利潤(rùn)為35萬(wàn)元試確定的值；N（3）受資金、生產(chǎn)能力等多種因素的影響，某投資商計(jì)劃第一年生產(chǎn)并銷(xiāo)售該產(chǎn)品18噸，根據(jù)（1），（2）中的結(jié)果，請(qǐng)你通過(guò)計(jì)算幫他決策，選擇在甲地還是乙地產(chǎn)銷(xiāo)才能獲得較大的年利潤(rùn)參考公式拋物線(xiàn)的頂點(diǎn)坐標(biāo)是20YAXBC24BAC，26（本小題滿(mǎn)分12分）如圖15，在中，分別是RTABC905AB30CDEF，的中點(diǎn)點(diǎn)從點(diǎn)出發(fā)沿折線(xiàn)以每秒7個(gè)單位長(zhǎng)ACB，PDEFCD的速度勻速運(yùn)動(dòng)；點(diǎn)從點(diǎn)出發(fā)沿方向以每秒4個(gè)單位長(zhǎng)的速度勻速運(yùn)動(dòng)，過(guò)點(diǎn)QBA作射線(xiàn)，交折線(xiàn)于點(diǎn)點(diǎn)同時(shí)出發(fā)，當(dāng)點(diǎn)繞行一周回QKCGPQ，P到點(diǎn)時(shí)停止運(yùn)動(dòng)，點(diǎn)也隨之停止設(shè)點(diǎn)運(yùn)動(dòng)的時(shí)間是秒（）D，T0（1）兩點(diǎn)間的距離是；F，（2）射線(xiàn)能否把四邊形分成面積相等的兩部分若能，求出的值若不能，DEFT說(shuō)明理由；（3）當(dāng)點(diǎn)運(yùn)動(dòng)到折線(xiàn)上，且點(diǎn)又恰好落在射線(xiàn)上時(shí)，求的值；PCPQKT（4）連結(jié)，當(dāng)時(shí)，請(qǐng)直接寫(xiě)出的值GABT2008年河北省初中畢業(yè)生升學(xué)文化課考試數(shù)學(xué)試題參考答案一、選擇題題號(hào)12345678910答案DBBCAACBDC二、選擇題1170；12，1；13；1427；159分（或9）；1620；172；1876三、解答題19解原式21X1X當(dāng)時(shí)，原式2320解（1）500；（2）如圖1；（3）型號(hào)發(fā)芽率為，B型號(hào)發(fā)芽率為，A90925D型號(hào)發(fā)芽率為，C型號(hào)發(fā)芽率為4應(yīng)選C型號(hào)的種子進(jìn)行推廣圖1ABCD型號(hào)8006004002000630370470發(fā)芽數(shù)/粒380AECDFGBQK圖15P（4）3701B6845P取到型號(hào)發(fā)芽種子21解（1）由，令，得3YXYXX10D，（2）設(shè)直線(xiàn)的解析表達(dá)式為，由圖象知2LKB，；，4X0YX2Y直線(xiàn)的解析表達(dá)式為32KB，6K，2L362YX（3）由解得YX，3Y，C，AD192ADCS（4）63P，22解（1），；103B，10203，（2）過(guò)點(diǎn)作于點(diǎn)，如圖2，則COACD在中，RTD3COS02A0，26351臺(tái)風(fēng)從生成到最初侵襲該城要經(jīng)過(guò)11小時(shí)23觀察計(jì)算（1）；A（2）24探索歸納（1）；（2）22240DAA當(dāng)，即時(shí)，；40512D12D12D當(dāng)，即時(shí)，；X/KMY/KMAOBC6045圖2D當(dāng)，即時(shí)，420A5A210D120D12D綜上可知當(dāng)時(shí)，選方案二；當(dāng)時(shí)，選方案一或方案二；5當(dāng)（缺不扣分）時(shí)，選方案一124解（1）；ABPA（2）；Q證明由已知，得，EFFP45E又，ACB45CQC在和中，RTQT，90APP，TTBCBQ如圖3，延長(zhǎng)交于點(diǎn)M，RTTQAP12在中，又，BC3903424190QMAAP（3）成立證明如圖4，45EF45CQ又，CBP在和中，RTQTAP，90CQTTBB如圖4，延長(zhǎng)交于點(diǎn)，則QAPNCB，RTTCAP在中，B90CBLABFCQ圖3M1234EPLABQPEF圖4NC90APCBN90PBQ25解（1）甲地當(dāng)年的年銷(xiāo)售額為萬(wàn)元；2140X2390WX甲（2）在乙地區(qū)生產(chǎn)并銷(xiāo)售時(shí)，年利潤(rùn)222111590590NXXXN乙由，解得或24905311N經(jīng)檢驗(yàn)，不合題意，舍去，N5（3）在乙地區(qū)生產(chǎn)并銷(xiāo)售時(shí)，年利潤(rùn)，2109WX乙將代入上式，得（萬(wàn)元）；將代入，18X2乙82390WX甲得（萬(wàn)元），應(yīng)選乙地24W甲乙甲26解（1）25（2）能如圖5，連結(jié)，過(guò)點(diǎn)作于點(diǎn)，DFHAB由四邊形為矩形，可知過(guò)的中點(diǎn)時(shí)，CEQKDFO把矩形分為面積相等的兩部分QK（注可利用全等三角形借助割補(bǔ)法或用中心對(duì)稱(chēng)等方法說(shuō)明），此時(shí)由，得125HOF20BHCBA16H故6748T（3）當(dāng)點(diǎn)在上時(shí)，如圖6PE5T，QBTD由，得CA720453TTAECDFOBQK圖5HPGAECDFBQK圖6PGAECDFBQK圖7PG214T當(dāng)點(diǎn)在上時(shí)，如圖7PFC657T已知，從而，QBT由，得73203520T解得12T（4）如圖8，；如圖9，T74T（注判斷可分為以下幾種情形當(dāng)時(shí)，PGAB6027T點(diǎn)下行，點(diǎn)上行，可知其中存在的時(shí)刻，如圖PGAB8；此后，點(diǎn)繼續(xù)上行到點(diǎn)時(shí)，而點(diǎn)卻在下行到FT點(diǎn)再沿上行，發(fā)現(xiàn)點(diǎn)在上運(yùn)動(dòng)時(shí)不存在EE；當(dāng)時(shí)，點(diǎn)均在上，也不存657T，F(xiàn)C在；由于點(diǎn)比點(diǎn)先到達(dá)點(diǎn)并繼續(xù)沿下PGABD行，所以在中存在的時(shí)刻，如圖9；當(dāng)時(shí)，點(diǎn)均在8TPGAB810TPG，上，不存在）CDAECDFBQK圖8PGHAECDFBQK圖9PG（英文版）EASILYBLAME,TOPREVENTTHEBROKENWINDOWEFFECTSUPERVISETHELEADINGCADRESTOPLAYANEXEMPLARYROLE,TAKETHELEADINTHESTRICTIMPLEMENTATIONOFTHEAND,LEADTOSAFEGUARDTHESOLEMNITYANDAUTHORITYOFTHEPARTYDISCIPLINE,ENSURETHATTHEPARTYDISCIPLINEANDTHELAWSANDREGULATIONSFORIMPLEMENTATIONINPLACETHROUGHOUTTHEDISCIPLINEINTHEDAILYSUPERVISIONANDMANAGEMENT,STRENGTHENSUPERVISIONANDINSPECTION,FROMTHETHOROUGHINVESTIGATIONOFVIOLATIONSOFDISCIPLINEBEHAVIORSTRENGTHENTOKEYAREAS,KEYDEPARTMENTSANDKEYPROJECTSASWELLASTHEMASSESREFLECTTHECONCENTRATIONOFTHEUNITSANDDEPARTMENTSFORSUPERVISIONSTRENGTHENINGSUPERVISION,DISCIPLINEINSPECTIONANDSUPERVISIONOFCADRESTOSETANEXAMPLEFORCOMPLIANCEWITHTHEANDISAMANMUSTBEHEXYL,BLACKSMITHNEEDSITSOWNHARDWAREDISCIPLINEINSPECTIONORGANSASTHEEXECUTOROFTHEPARTYDISCIPLINE,ANDSUPERVISOROFTHEDEFENDERS,FORITSSUPERVISIONMUSTBEMORESTRICTLY,DISCIPLINEINSPECTIONANDSUPERVISIONOFCADRESTOFIRMLYESTABLISHTHEAWARENESSOFPARTYCONSTITUTION,SENSEOFDISCIPLINEANDRULESCONSCIOUSNESS,POLITICSLOYALTY,SENSEOBEYACTIONSPEAKJIORDINANCETOSETANEXAMPLEOFTHEREGULATIONSOFTHERULEOFLAW,STRENGTHENSUPERVISIONANDACCEPTTHESUPERVISIONOFTHEFIRMNESSANDCONSCIOUSNESS,DOCOMPLYWITHANDTOFIRMLYESTABLISHTHEDISCIPLINEMUSTFIRSTBEDISCIPLINED,THESUPERVISORWILLBESUBJECTTOTHESUPERVISIONOF“CONCEPT,ANDCONSCIOUSLYSAFEGUARDANDIMPLEMENTPARTYCOMPASSESPARTY,TAKETHELEADINPRACTICING“THREESTRICTREALSTRICT,SOLOYAL,CLEAN,PLAYTOBEGOODATLEARNING,THECONSTITUTIONANDTHEASMORALITY,POLITICSANDBROUGHTTOFRUITIONTOIMPLEMENT,DONOTWANTTO,DARENOT,NOTWITHDISCIPLINAR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