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科目: 來(lái)源: 題型:

某海濱浴場(chǎng)的海岸線可以看作直線l(如圖),有兩位救生員在岸邊的點(diǎn)A同時(shí)接到了海中的點(diǎn)B(該點(diǎn)視為定點(diǎn))的呼救信號(hào)后,立即從不同的路徑前往救助。其中1號(hào)救生員從點(diǎn)A先跑300米到離點(diǎn)B最近的點(diǎn)D,再跳入海中沿直線游到點(diǎn)B救助;2號(hào)救生員先從點(diǎn)A跑到點(diǎn)C,再跳入海中沿直線游到點(diǎn)B救助。如果兩位救生員在岸上跑步的速度都是6米/秒,在水中游泳的速度都是2米/秒,且∠BAD=450,∠BCD=600,請(qǐng)問(wèn)1號(hào)救生員與2號(hào)救生員誰(shuí)先到達(dá)點(diǎn)B?

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定義:如果一個(gè)數(shù)的平方等于-1,記為=-1,這個(gè)數(shù)i叫做虛數(shù)單位。那么和我們所學(xué)的實(shí)數(shù)對(duì)應(yīng)起來(lái)就叫做復(fù)數(shù),表示為(a,b為實(shí)數(shù)),a叫這個(gè)復(fù)數(shù)的實(shí)部,b叫做這個(gè)復(fù)數(shù)的虛部,它的加,減,乘法運(yùn)算與整式的加,減,乘法運(yùn)算類似。
例如計(jì)算:
【小題1】填空:="_________," =____________
【小題2】計(jì)算: 
【小題3】試一試:請(qǐng)利用以前學(xué)習(xí)的有關(guān)知識(shí)將化簡(jiǎn)成的形式.
10年中考模擬卷改編

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某花農(nóng)培育甲種花木2株,乙種花木3株,共需成本1700元;培育甲種花木3株,乙種花木1株,共需成本1500元
【小題1】求甲、乙兩種花木每株成本分別為多少元
【小題2】根據(jù)市場(chǎng)調(diào)研,1株甲種花木的售價(jià)為760元,1株乙種花木的售價(jià)為540元,該花農(nóng)決定在成本不超過(guò)30000元的前提下培育甲乙兩種苗木,若培育乙種花木的株數(shù)是甲種花木的3倍還多10株,那么要使總利潤(rùn)不少于21600元,花農(nóng)有哪幾種具體的培育方案?

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我們知道:直角三角形斜邊上的中線等于斜邊的一半,說(shuō)明斜邊上的中線可把直角三角形分成兩個(gè)等腰三角形(圖①)。又比如,頂角為36°的等腰三角形也能分成兩個(gè)等腰三角形(圖②)。

【小題1】試試看,你能把圖③、圖④、圖⑤中的三角形分成兩個(gè)等腰三角形嗎
【小題2】△ABC中,有一內(nèi)角為36°,過(guò)某一頂點(diǎn)的直線將△ABC分成兩個(gè)等腰三角形,則滿足上述條件的不同形狀(相似的認(rèn)為是同一形狀)的△ABC最多有5種,除了圖②、圖③中的兩種,還有三種,請(qǐng)你畫出來(lái)

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如果兩個(gè)正數(shù),即,有下面的不等式:
  當(dāng)且僅當(dāng)時(shí)取到等號(hào)
我們把叫做正數(shù)的算術(shù)平均數(shù),把叫做正數(shù)的幾何平均數(shù),于是上述不等式可表述為:兩個(gè)正數(shù)的算術(shù)平均數(shù)不小于(即大于或等于)它們的幾何平均數(shù)。它在數(shù)學(xué)中有廣泛的應(yīng)用,是解決最值問(wèn)題的有力工具。下面舉一例子:
例:已知,求函數(shù)的最小值。
解:令,則有,得,當(dāng)且僅當(dāng)時(shí),即時(shí),函數(shù)有最小值,最小值為
根據(jù)上面回答下列問(wèn)題
【小題1】已知,則當(dāng)        時(shí),函數(shù)取到最小值,最小值
為         
【小題2】用籬笆圍一個(gè)面積為的矩形花園,問(wèn)這個(gè)矩形的長(zhǎng)、寬各為多少時(shí),所
用的籬笆最短,最短的籬笆周長(zhǎng)是多少
【小題3】已知,則自變量取何值時(shí),函數(shù)取到最大值,最大值為多少?

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若函數(shù)是一次函數(shù),則m=_______,且的增大而

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已知一次函數(shù)的圖象與直線y=-x+1平行,且過(guò)點(diǎn)(8,2),那么此一次函數(shù)的解析式為_(kāi)_______________。

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科目: 來(lái)源: 題型:閱讀理解

根據(jù)短文內(nèi)容,從短文后的選項(xiàng)中選出能填入空白處的最佳選項(xiàng)。選項(xiàng)中有一項(xiàng)為多余選項(xiàng)。
A. Goods for auction (拍賣) sales
  B. Definition of bidding
  C. Way to sell more goods by auction
  D. Auction sales in history
  E. Brief introduction to auctions
  F. Making a larger profit as an auctioneer
【小題1】______
Auctions are public sales of goods, conducted by an officially approved auctioneer. He asks the crowd assembled in the auction-room to make offers, or “bids”, for the various items on sale. He encourages buyers to bid higher figures, and finally names the highest bidder as the buyer of the goods. This is called “knocking down” the goods, for the bidding ends when the auctioneer strikes a small hammer on a table at which he stands.
【小題2】 ______
The ancient Roman probably invented sales by auction, and the English word comes from the Latin auction, meaning “increasing”. The Romans usually sold in this way the goods taken in war. In England in the eighteenth centuries, goods were often sold “by the candle”: a short candle was lit by the auctioneer, and bids could be made while it stayed alight.
【小題3】 ______
Practically all goods whose qualities vary are sold by auction. Among these are coffee, skins, wool, tea, furs, silk and wines. Auction sales are also usual for land and property, furniture, pictures, rare books, old china and similar works of art.
【小題4】 ______
An auction is usually advertised beforehand with full particulars of the articles to be sold and where and when they can be viewed by potential buyers. If the advertisement cannot give full details, catalogues are printed, and each group of goods to be sold together, called a “l(fā)ot”, is usually given a number. The auctioneer need not begin with Lot 1 and continue in the order of numbers: he may wait until he notices the fact that certain buyers are in the room and then produce the lots they are likely to be interested in.
【小題5】 ______
The auctioneer’s services are paid for in the form of a percentage of the price the goods are sold for. The auctioneer therefore has a direct interest in pushing up the bidding as high as possible. He will not waste time by starting the bidding too low. He will also play on the opponents among his buyers and succeed in getting a high price by encouraging two business competitors to bid against each other.

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在一個(gè)人工農(nóng)業(yè)生態(tài)系統(tǒng)中,玉米、雞、豬、人組成的食物網(wǎng)如圖所示。雞、豬、人的糞便以及玉米秸稈通過(guò)沼氣池發(fā)酵,產(chǎn)生的沼氣用于照明和做飯,沼渣可以做肥料。請(qǐng)分析回答以下問(wèn)題:(8分)

(1)此生態(tài)系統(tǒng)中能量流動(dòng)的起點(diǎn)從玉米的       作用開(kāi)始的,能量流動(dòng)的特點(diǎn)是逐級(jí)        ,所以該生態(tài)系統(tǒng)中數(shù)量最少的生物是        
(2)此生態(tài)系統(tǒng)中,人、豬、雞和玉米之間通過(guò)             關(guān)系形成食物鏈。請(qǐng)寫出一條食物鏈(至少包含三個(gè)環(huán)節(jié)):                                        。
(3)在此生態(tài)系統(tǒng)中能將雞、豬、人的糞便以及玉米秸稈通過(guò)沼氣池發(fā)酵產(chǎn)生沼氣的微生物是腐生的        ,它在生態(tài)系統(tǒng)成分中屬于        。
(4)若工廠排放的有害物質(zhì)如鉛、汞等進(jìn)入此生態(tài)系統(tǒng),這些有害物質(zhì)可以通過(guò)        在生物體內(nèi)不斷積累,使其濃度隨著消費(fèi)者級(jí)別的升高而逐步增加,最后進(jìn)入人們的餐桌。

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在一個(gè)人工農(nóng)業(yè)生態(tài)系統(tǒng)中,玉米、雞、豬、人組成的食物網(wǎng)如圖所示。雞、豬、人的糞便以及玉米秸稈通過(guò)沼氣池發(fā)酵,產(chǎn)生的沼氣用于照明和做飯,沼渣可以做肥料。請(qǐng)分析回答以下問(wèn)題:(8分)

(1)此生態(tài)系統(tǒng)中能量流動(dòng)的起點(diǎn)從玉米的       作用開(kāi)始的,能量流動(dòng)的特點(diǎn)是逐級(jí)        ,所以該生態(tài)系統(tǒng)中數(shù)量最少的生物是        。
(2)此生態(tài)系統(tǒng)中,人、豬、雞和玉米之間通過(guò)             關(guān)系形成食物鏈。請(qǐng)寫出一條食物鏈(至少包含三個(gè)環(huán)節(jié)):                                        。
(3)在此生態(tài)系統(tǒng)中能將雞、豬、人的糞便以及玉米秸稈通過(guò)沼氣池發(fā)酵產(chǎn)生沼氣的微生物是腐生的        ,它在生態(tài)系統(tǒng)成分中屬于        。
(4)若工廠排放的有害物質(zhì)如鉛、汞等進(jìn)入此生態(tài)系統(tǒng),這些有害物質(zhì)可以通過(guò)        在生物體內(nèi)不斷積累,使其濃度隨著消費(fèi)者級(jí)別的升高而逐步增加,最后進(jìn)入人們的餐桌。

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