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14.(坐标系与参数方程选做题)在极坐标系中,直线l的方程为ρsinθ=3,则点(2,π/6)到直线l的距离为      

[解析]法1:画出极坐标系易得答案2; 法2:化成直角方程及直角坐标可得答案2.

  15.(几何证明选讲选做题)如图4所示,圆O的直径AB=6,C为圆周上一点,BC=3过C作圆的切线l,过A作l的垂线AD,垂足为D, 则∠DAC=    

[解析]由某定理可知,又,

.

(2007海南、宁夏)

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15.几何证明选讲选做题]如图所示,圆O的直径为6,C为圆周上一点。BC=3,过C作圆的切线l,过A作l的垂线AD,垂足为D,则∠DAC=______;线段AE的长为_______。

答案:;3。

解析:根据弦切角等于夹弧所对的圆周角及直角三角形两锐角互余,很容易得到答案; AE=EC=BC=3;

(2007广东文)

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14.(不等式选讲选做题)设函数=_____;若,则x的取值范围是________;

答案:6;

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13.(坐标系与参数方程选做题)在平面直角坐标系xOy 中,直线l的参数方程为(参数t∈R),圆C的参数方程为(参数),则圆C的圆心坐标为_______,圆心到直线l的距离为______.

答案:(0,2);.

解析:直线的方程为x+y-6=0,d=;

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70、Can you work out what these squiggles mean?

答案:68、事情的结果很不错。69、我一向无法了解她。70、你能辨认出这些潦草的字迹是什么意思吗?

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69、I've never been able to work her out. ________________

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(1)    We must work out a plan as quickly as we can.<制定,拟定,定出>

(2)    Have you worked out this problem yet?<算出,估计出>

(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.<判断,说出,看出>

(5)    Things will work out if you will just be patient.<得到圆满解决>

(6)    Things have worked out badly.<(情况等)结果是>

(题组训练)英译汉:

68、Things worked out quite well. ________________

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(1)    The assistant did not take her seriously and advised her to buy two bottles of very expensive wine.<认真对待>

(2)    He led the ships down the river to a place where the British army could land safely and take the enemy by surprise.<突然袭击>

(3)    I won't take up much of your time.<占去(时间)>

(4)    The table takes up too much room.<占去,占据(空间)>

(5)    When he left school he took up journalism.<从事某项活动,发展某种爱好>

(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.<采取必要的行动>

(8)    The teacher took up the lesson where he left off yesterday.<继续讲述>

(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.<不要着急>

(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.<对……感到骄傲>

(14)  She had taken the trouble to buy the books for me.<费力,不怕麻烦>

(15)  I'll take on the work,but I can't tell you exactly when I'll finish it.<从事>

(16)  The Great Wall has taken on a new look since the liberation.<呈现>

(17)  Is the supermarket taking on any more assistants?<雇用>

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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

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66、His invitation is ________________ (refused).

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