14.(坐標系與參數(shù)方程選做題)在極坐標系中,直線l的方程為ρsinθ=3,則點(2,π/6)到直線l的距離為 .
[解析]法1:畫出極坐標系易得答案2; 法2:化成直角方程及直角坐標可得答案2.
15.(幾何證明選講選做題)如圖4所示,圓O的直徑AB=6,C為圓周上一點,BC=3過C作圓的切線l,過A作l的垂線AD,垂足為D, 則∠DAC= .
[解析]由某定理可知,又,
故.
(2007海南、寧夏)
15.幾何證明選講選做題]如圖所示,圓O的直徑為6,C為圓周上一點。BC=3,過C作圓的切線l,過A作l的垂線AD,垂足為D,則∠DAC=______;線段AE的長為_______。
答案:;3。
解析:根據(jù)弦切角等于夾弧所對的圓周角及直角三角形兩銳角互余,很容易得到答案; AE=EC=BC=3;
(2007廣東文)
14.(不等式選講選做題)設(shè)函數(shù)則=_____;若,則x的取值范圍是________;
答案:6;
13.(坐標系與參數(shù)方程選做題)在平面直角坐標系xOy 中,直線l的參數(shù)方程為(參數(shù)t∈R),圓C的參數(shù)方程為(參數(shù)),則圓C的圓心坐標為_______,圓心到直線l的距離為______.
答案:(0,2);.
解析:直線的方程為x+y-6=0,d=;
70、Can you work out what these squiggles mean?
答案:68、事情的結(jié)果很不錯。69、我一向無法了解她。70、你能辨認出這些潦草的字跡是什么意思嗎?
69、I've never been able to work her out. ________________
(1) We must work out a plan as quickly as we can.<制定,擬定,定出>
(2) Have you worked out this problem yet?<算出,估計出>
(3) I can't work out the meaning of the poem.<理解,弄懂,看出>
(4) This map is wrong;I can't work out where we are.<判斷,說出,看出>
(5) Things will work out if you will just be patient.<得到圓滿解決>
(6) Things have worked out badly.<(情況等)結(jié)果是>
(題組訓練)英譯漢:
68、Things worked out quite well. ________________
(1) The assistant did not take her seriously and advised her to buy two bottles of very expensive wine.<認真對待>
(2) He led the ships down the river to a place where the British army could land safely and take the enemy by surprise.<突然襲擊>
(3) I won't take up much of your time.<占去(時間)>
(4) The table takes up too much room.<占去,占據(jù)(空間)>
(5) When he left school he took up journalism.<從事某項活動,發(fā)展某種愛好>
(6) People should be ready to go to prison for their beliefs,but they should never take up anus to fight.<拿起武器>
(7) When you return to the office the following morning or after the holiday,you can listen to the messages and take any necessary action.<采取必要的行動>
(8) The teacher took up the lesson where he left off yesterday.<繼續(xù)講述>
(9) Jean took advantage of the lunch hour to finish her homework.<利用>
(10) I take back what I said.<收回>
(11) Take it easy.The roads are icy.<不要著急>
(12) He is taking over my job while I am on holiday.<接替,接管>
(13) He seemed to take great pride in his work.<對……感到驕傲>
(14) She had taken the trouble to buy the books for me.<費力,不怕麻煩>
(15) I'll take on the work,but I can't tell you exactly when I'll finish it.<從事>
(16) The Great Wall has taken on a new look since the liberation.<呈現(xiàn)>
(17) Is the supermarket taking on any more assistants?<雇用>
67、If you don't know the words,you can ________________ (refer to)a dictionary.
答案:65、turned up 66、turned down 67、turn to
66、His invitation is ________________ (refused).
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