【正文】
)=40176。,即∠γ=40176。5.(江蘇省常州市2004年2分)若∠α的余角是30176。,則∠α=▲176。,sinα=▲?!敬鸢浮?0。【考點】余角,特殊角的三角函數(shù)值。【分析】根據(jù)余角的定義求得α的值,再求它的正弦值:∵∠α的余角是30176。,∴∠α=90176。-30176。=60176。,∴sianα=sian60176。=。6.(江蘇省常州市2006年2分)若 的補角是120176。,則 =▲176。,▲。【答案】60。【考點】補角,特殊角的三角函數(shù)值?!痉治觥扛鶕?jù)補角的概念求出 的值,再根據(jù)特殊角的三角函數(shù)值求解即可: ∵ 的補角是120176。,∴ =180176。-120176。=60176。,∴。7.(江蘇省常州市2006年1分)如圖,小亮從A點出發(fā),沿直線前進10米后向左轉30176。,再沿直線前進10米,又向左轉30176。,……照這樣走下去,他第一次回到出發(fā)地A點時,一共走了▲米?!敬鸢浮?20?!究键c】平角定義,多邊形內角和定理。【分析】根據(jù)題意,小亮這樣走法形成一個正多邊形,由平角定義,知正多邊形的每個內角等于1500。∴根據(jù)多邊形內角和定理,得,解得?!嗾者@樣法,他第一次回到出發(fā)地A點時,一共走了1210=120米。8.(江蘇省常州市2007年2分)若,則 的余角是▲176。,▲. 【答案】60:?!究键c】余角,特殊角的三角函數(shù)值?!痉治觥扛鶕?jù)互余的性質和特殊角的三角函數(shù)值計算:的余角是90176。- =90176。-30176。=60176。: cosα=cos30176。=。9.(江蘇省常州市2008年2分)如圖,在△ABC中BE平分∠ABC,DE∥BC,∠ABE=35176。,則∠DEB=______176。,∠ADE=▲176。.【答案】35;70?!究键c】角平分線的定義,平行線的性質?!痉治觥坷闷叫芯€的性質及角平分線的定義即可求出:∵在△ABC中,BE平分∠ABC,∠ABE=35176。,∴∠ABC=70176。,∠EBC=35176?!逥E∥BC,∴∠DEB=∠EBC=35176。;∠ADE=∠ABC=70176。10.(2011江蘇常州2分)若∠ 的補角為120176。,則∠ =▲,Sin =▲?!敬鸢浮?00?!究键c】補角,特殊角的三角函數(shù)?!痉治觥坷醚a角和600角的正弦,直接得出結果:根據(jù)補角定義,∠α=180176?!?20176。=60176。,于是sinα=sin60176。=。11.(2012江蘇常州2分)若∠α=600,則∠α的余角為▲,cosα的值為▲?!敬鸢浮?00?!究键c】余角定義,特殊角的三角函數(shù)值。【分析】根據(jù)余角定義,∠α的余角為900-600=300;由特殊角的三角函數(shù)值,得cosα=。三、解答題1.(江蘇省常州市2002年7分)如圖,它是由6個面積為1的小正方形組成的矩形,點A,B,C,D,E,F(xiàn),G是小正方形的頂點,以這七個點中的任意三個點為頂點,可組成多少個面積為1的三角形?請你寫出所有這樣的三角形?【答案】解:由題意得符合條件的三角形高是1,對應的底是2,或高是2,對應的底是1,因此,以點A,B,C,D,E,F(xiàn),G中的任意三個點為頂點,可組成多少個面積為1的三角形共有14個,它們是:△ADE,△AEF,△AFG,△BDE,△BEF,△BFG,△ABD,△ABE,△ABF,△ABG,△CDF,△CEG,△CBF,△CAG?!究键c】三角形的面積?!痉治觥扛鶕?jù)三角形的面積公式,觀察圖形,只要保證該三角形的高是1,對應的底是2,或高是2,對應的底是1,即可。在列舉時,宜采用字典排列法。2.(江蘇省常州市2004年8分)用水平線和豎直線將平面分成若干個邊長為1的小正方形格子,小正方形的頂點,叫格點,以格點為頂點的多邊形叫格點多邊形。設格點多邊形的面積為S,它各邊上格點的個數(shù)和為。(1)上圖中的格點多邊形,其內部都只有一個格點,它們的面積與各邊上格點的個數(shù)和的對應關系如下表,請寫出S與 之間的關系式。答:S=。多邊形的序號 ① ② ③ ④ … 多邊形的面積S 2 3 4 … 各邊上格點的個數(shù)和5 6 8 …(2)請你再畫出一些格點多邊形,使這些多邊形內部都有而且只有2格點。此時所畫的各個多邊形的面積S與它各邊上格點的個數(shù)和 之間的關系式是:S=。(3)請你繼續(xù)探索,當格點多邊形內部有且只有 個格點時,猜想S與 有怎樣的關系?答:S=。【答案】解:(1)。(2)畫格點多邊形如下:+1。(3)?!究键c】分類歸納(圖形的變化類),網(wǎng)格問題,正方形的性質?!痉治觥浚?)由表可以直接得到。(2)當多邊形內部都有而且只有2格點,它們的面積與各邊上格點的個數(shù)和的對應關系如下表:多邊形的序號 ① ② ③ ④ ⑤ …多邊形的面積S 3 4 … 各邊上格點的個數(shù)和4 5 6 7 …可見,這時所畫的各個多邊形的面積S與它各邊上格點的個數(shù)和 之間的關系式是:S= +1第四篇:九年級英語長江寒假作業(yè)答案九年級英語長江寒假作業(yè)答案第一部分聽力(30分),從A、B、C三個選項中,選擇最佳應答語,并在答題卡上將該項 涂黑。每個句子聽兩遍。(每小題1分,共5分), 8 :00 July, , I , I , ’s a 39。s a white 39。s his is is a is in black 。從A、B、C三個選項中,選擇最佳答案,并在答題卡上將 該項涂黑。每段對話聽兩遍。{每小題1分,共5分) does the man usually do on Sundays? usually plays puter usually plays usually plays are they talking about? ’s the date today?’s March ’s March 39。s March the boy swim one year ago? , he , he c ouldn39。, he can’’s the woman’s favorite Chinese festival? Lantern Spring Midautumn ,從A、B、C三個選項中,選擇最佳答案,并在答題卡上將 該項涂黑。對話聽三遍。(每小題2分,共10分)。 Kate like watching TV? , she hates , she doesn’, she d many hours does Kate watch TV every day? TV program does Kate like best? on often does Kate watch movies on TV till midnight? is Jack’s advice? should have enough should watch TV for a long TV is good for Kate’s ,從A、B、C三個選項中,選擇最佳答案,并在答題卡上將該項涂 黑。短文聽三遍。(每小題2分,共10分) am going to ______ every morning during the winter TV a guitar club English the evening of the holidays, I’ll watch TV the whole holidays only one hour one night will join a ______ will ______ on time in my winter English TV to bed and get up ’m sure I will ______ from the the guitar English better a good time and learn a lot 第二部分單項選擇(10分)從下列各題所給的A、B、C、D四個選項中,選擇能填入空白處的最佳選 項,并在答題卡上將該項涂黑。(每小題1分,共10分) ease give ______ English book to 22.—Could you please pass me something to eat? —What about some ______? mother goes to work ______ bus every 24.—Who’s that girl?—You mean ______ one with long blond hair? That39。s Jack’s ______ a student last year, but now she ______ a 。is; is; will be; was 26.—Were you at home at 9:00 last night? I called you but nobody answered.—Sorry,I ______ at that a shower a shower taking a shower taking a shower 27.—Mum, I can39。t find my shoes.—Hurry up!Your father ______ for waiting wait 28.—I have ______ in learning English and I’m so you help me with it? —Sure, I’d love 29.—I’ve never had such a wonderful nk you for inviting me.— ’s 39。re ’s winter es, days get and long and short and longer and shorter 第三部分完型填空(10分)閱讀短文,從短文后各題所給的A、B、C、D四個選項中,選擇能填入空白處 的最佳選項,并在答題卡上將該項涂黑。(每小題1分,共10分)Last week our school held a sports in our class felt very 31 because we were the the boys’ relay race, Michael 32__ very fast and our class won the first Ting is good 33 the long jump and she 34 ,re sorry that we 35 in the high jump, but we’re sure we 36 do better next took part in the boys,37 did my best and was the first 38 the finish encourages 39 _ a I love sports want to be a soccer will take more exercise every day and I hope some day I 40 able to take part in the Olympic running well badly badly well well meter meters pass be 第四部分閱讀理解(30分),根據(jù)短文內容,從短文后各題所給的A、B、C、D四個選項中, 選擇最佳選項,并在答題卡上將該項涂黑。(每小題2分,共20分)A American boys and girls love to watch children spend six hours a day in school and four to six hours a day in front of the television even watch television for eig ht hours or more on are like books or child can leam bad things and good things from shows help children to understand the news and places from other countries or other times in television a child does not have to go to the zoo to see animals or to the ocean to see a and girls can see a play, a concert or a game at brings many places and events into our programs show crime and other things that are bad for children,so parents sometimes help them to find other interesting things to n usually spend ______ a day in hours than eight hours a few hours hours children spend eight hours or more ______ on TV their parents television children can see animals everything 44.“Television brings many places and events into our homes. means ______ mak