2,4,6
2,4,6
2.C 解析:由
不符合集合元素的互異性,故選C。
3.D 解析:數(shù)學試題(文科).files/image104.gif)
4.A 解析:由題可知
,故選A.
5.C 解析:令公比為q,由a1=3,前三項的和為21可得q2+q-6=0,各項都為正數(shù),所以q=2,所以
,故選C.
6.D 解析:
上恒成立,即
恒成立,故選D.
7.B 解析:因為定義在R上函數(shù)
是偶函數(shù),所以
,故函數(shù)
以4為周期,所以數(shù)學試題(文科).files/image116.gif)
8.C 解析:
關于y軸的對稱圖形,可得
的
圖象,再向右平移一個單位,即可得
的圖象,即
的圖
象,故選C.
9.B 解析:可采取特例法,例
皆為滿足條件的函數(shù),一一驗證可知選B.
10.A 解析:
故在[-2,2]上最大值為
,所以最小值為
,故選A.
二、填空題:
11.答案:6 解析:∵
∴a7+a11=6.
12.答案A=120° 解析:數(shù)學試題(文科).files/image135.gif)
13.答案:28 解析:由前面圖形規(guī)律知,第6個圖中小正方形的數(shù)量為1+2+3+…+7=28。
數(shù)學試題(文科).files/image137.jpg)
數(shù)學試題(文科).files/image145.gif)
三、解答題: 15.解:(Ⅰ) , , 令 3m=1 ∴ ∴ ∴{an+ }是以 為首項,4為公比的等比數(shù)列 (Ⅱ)
∴數(shù)學試題(文科).files/image165.gif) 數(shù)學試題(文科).files/image167.gif) 16.解:(Ⅰ)數(shù)學試題(文科).files/image169.gif) 數(shù)學試題(文科).files/image171.gif)
當 時, 的最小值為3 -4 (Ⅱ)∵ ∴數(shù)學試題(文科).files/image177.gif) ∴ ∴ 時, 單調減區(qū)間為數(shù)學試題(文科).files/image181.gif) 17.解:(Ⅰ) 的定義域關于原點對稱 若 為奇函數(shù),則 ∴a=0 (Ⅱ)數(shù)學試題(文科).files/image185.gif) ∴在 上數(shù)學試題(文科).files/image188.gif) ∴ 在 上單調遞增 ∴ 在 上恒大于0只要 大于0即可 ∴數(shù)學試題(文科).files/image193.gif) 若 在 上恒大于0,a的取值范圍為數(shù)學試題(文科).files/image195.gif) 18.解:(Ⅰ)延長RP交AB于M,設∠PAB= ,則 AM =90數(shù)學試題(文科).files/image199.gif) ∴數(shù)學試題(文科).files/image201.gif) =10000-數(shù)學試題(文科).files/image203.gif) 數(shù)學試題(文科).files/image205.gif)
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