一、選擇題:本大題共12小題,每小題5分,共60分。
1―6ACAABB 7―12DCDACD
二、填空題:本大題共4小題,每小題5分,共20分。
13.60° 14.40 15.
16.6
20090411 17.(本小題滿分10分)
(I)解:因為![](http://pic.1010jiajiao.com/pic4/docfiles/down/test/down/65cdfd487994f78e300e5a9134c47699.zip/69888/云南省昆明市2008―2009學年高三復(fù)習教學質(zhì)量檢測%20數(shù)學文科.files/image130.gif) 由正弦定理得![](http://pic.1010jiajiao.com/pic4/docfiles/down/test/down/65cdfd487994f78e300e5a9134c47699.zip/69888/云南省昆明市2008―2009學年高三復(fù)習教學質(zhì)量檢測%20數(shù)學文科.files/image132.gif) 所以![](http://pic.1010jiajiao.com/pic4/docfiles/down/test/down/65cdfd487994f78e300e5a9134c47699.zip/69888/云南省昆明市2008―2009學年高三復(fù)習教學質(zhì)量檢測%20數(shù)學文科.files/image134.gif) 又![](http://pic.1010jiajiao.com/pic4/docfiles/down/test/down/65cdfd487994f78e300e5a9134c47699.zip/69888/云南省昆明市2008―2009學年高三復(fù)習教學質(zhì)量檢測%20數(shù)學文科.files/image136.gif) 故 5分
(II)由![](http://pic.1010jiajiao.com/pic4/docfiles/down/test/down/65cdfd487994f78e300e5a9134c47699.zip/69888/云南省昆明市2008―2009學年高三復(fù)習教學質(zhì)量檢測%20數(shù)學文科.files/image140.gif) 故![](http://pic.1010jiajiao.com/pic4/docfiles/down/test/down/65cdfd487994f78e300e5a9134c47699.zip/69888/云南省昆明市2008―2009學年高三復(fù)習教學質(zhì)量檢測%20數(shù)學文科.files/image142.gif) 10分 18.(本小題滿分12分)
(I)解:設(shè)等差數(shù)列![](http://pic.1010jiajiao.com/pic4/docfiles/down/test/down/65cdfd487994f78e300e5a9134c47699.zip/69888/云南省昆明市2008―2009學年高三復(fù)習教學質(zhì)量檢測%20數(shù)學文科.files/image146.gif) 由 成等比數(shù)列, 得![](http://pic.1010jiajiao.com/pic4/docfiles/down/test/down/65cdfd487994f78e300e5a9134c47699.zip/69888/云南省昆明市2008―2009學年高三復(fù)習教學質(zhì)量檢測%20數(shù)學文科.files/image150.gif) 即![](http://pic.1010jiajiao.com/pic4/docfiles/down/test/down/65cdfd487994f78e300e5a9134c47699.zip/69888/云南省昆明市2008―2009學年高三復(fù)習教學質(zhì)量檢測%20數(shù)學文科.files/image152.gif) 得 (舍去)。 故![](http://pic.1010jiajiao.com/pic4/docfiles/down/test/down/65cdfd487994f78e300e5a9134c47699.zip/69888/云南省昆明市2008―2009學年高三復(fù)習教學質(zhì)量檢測%20數(shù)學文科.files/image156.gif) 所以 6分
(II)又![](http://pic.1010jiajiao.com/pic4/docfiles/down/test/down/65cdfd487994f78e300e5a9134c47699.zip/69888/云南省昆明市2008―2009學年高三復(fù)習教學質(zhì)量檢測%20數(shù)學文科.files/image160.gif) 則![](http://pic.1010jiajiao.com/pic4/docfiles/down/test/down/65cdfd487994f78e300e5a9134c47699.zip/69888/云南省昆明市2008―2009學年高三復(fù)習教學質(zhì)量檢測%20數(shù)學文科.files/image162.gif) 又![](http://pic.1010jiajiao.com/pic4/docfiles/down/test/down/65cdfd487994f78e300e5a9134c47699.zip/69888/云南省昆明市2008―2009學年高三復(fù)習教學質(zhì)量檢測%20數(shù)學文科.files/image164.gif) 故 的等差數(shù)列。 所以 12分 19.(本小題滿分12分) 解:設(shè)事件![](http://pic.1010jiajiao.com/pic4/docfiles/down/test/down/65cdfd487994f78e300e5a9134c47699.zip/69888/云南省昆明市2008―2009學年高三復(fù)習教學質(zhì)量檢測%20數(shù)學文科.files/image170.gif) 則![](http://pic.1010jiajiao.com/pic4/docfiles/down/test/down/65cdfd487994f78e300e5a9134c47699.zip/69888/云南省昆明市2008―2009學年高三復(fù)習教學質(zhì)量檢測%20數(shù)學文科.files/image172.gif)
(I)設(shè)“賽完兩局比賽結(jié)束”為事件C,則![](http://pic.1010jiajiao.com/pic4/docfiles/down/test/down/65cdfd487994f78e300e5a9134c47699.zip/69888/云南省昆明市2008―2009學年高三復(fù)習教學質(zhì)量檢測%20數(shù)學文科.files/image174.gif) 則![](http://pic.1010jiajiao.com/pic4/docfiles/down/test/down/65cdfd487994f78e300e5a9134c47699.zip/69888/云南省昆明市2008―2009學年高三復(fù)習教學質(zhì)量檢測%20數(shù)學文科.files/image176.gif) 即![](http://pic.1010jiajiao.com/pic4/docfiles/down/test/down/65cdfd487994f78e300e5a9134c47699.zip/69888/云南省昆明市2008―2009學年高三復(fù)習教學質(zhì)量檢測%20數(shù)學文科.files/image178.gif) ![](http://pic.1010jiajiao.com/pic4/docfiles/down/test/down/65cdfd487994f78e300e5a9134c47699.zip/69888/云南省昆明市2008―2009學年高三復(fù)習教學質(zhì)量檢測%20數(shù)學文科.files/image180.gif) 因為![](http://pic.1010jiajiao.com/pic4/docfiles/down/test/down/65cdfd487994f78e300e5a9134c47699.zip/69888/云南省昆明市2008―2009學年高三復(fù)習教學質(zhì)量檢測%20數(shù)學文科.files/image182.gif) 所以![](http://pic.1010jiajiao.com/pic4/docfiles/down/test/down/65cdfd487994f78e300e5a9134c47699.zip/69888/云南省昆明市2008―2009學年高三復(fù)習教學質(zhì)量檢測%20數(shù)學文科.files/image184.gif) 因為 6分
(II)設(shè)“賽完四局比賽結(jié)束且乙比甲多2分”為事件D, 則![](http://pic.1010jiajiao.com/pic4/docfiles/down/test/down/65cdfd487994f78e300e5a9134c47699.zip/69888/云南省昆明市2008―2009學年高三復(fù)習教學質(zhì)量檢測%20數(shù)學文科.files/image188.gif) 即![](http://pic.1010jiajiao.com/pic4/docfiles/down/test/down/65cdfd487994f78e300e5a9134c47699.zip/69888/云南省昆明市2008―2009學年高三復(fù)習教學質(zhì)量檢測%20數(shù)學文科.files/image190.gif) ![](http://pic.1010jiajiao.com/pic4/docfiles/down/test/down/65cdfd487994f78e300e5a9134c47699.zip/69888/云南省昆明市2008―2009學年高三復(fù)習教學質(zhì)量檢測%20數(shù)學文科.files/image192.gif) ![](http://pic.1010jiajiao.com/pic4/docfiles/down/test/down/65cdfd487994f78e300e5a9134c47699.zip/69888/云南省昆明市2008―2009學年高三復(fù)習教學質(zhì)量檢測%20數(shù)學文科.files/image194.gif) =
12分 20.(本小題滿分12分)
(I)證明:![](http://pic.1010jiajiao.com/pic4/docfiles/down/test/down/65cdfd487994f78e300e5a9134c47699.zip/69888/云南省昆明市2008―2009學年高三復(fù)習教學質(zhì)量檢測%20數(shù)學文科.files/image198.gif) 2分 又![](http://pic.1010jiajiao.com/pic4/docfiles/down/test/down/65cdfd487994f78e300e5a9134c47699.zip/69888/云南省昆明市2008―2009學年高三復(fù)習教學質(zhì)量檢測%20數(shù)學文科.files/image202.gif)
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