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(2008•邵阳)如图,正方形OA1B1C1的边长为1,以O为圆心、OA1为半径作扇形OA...
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(2008•邵阳)如图,正方形OA
1B
1C
1的边长为1,以O为圆心、OA
1为半径作扇形OA
1C
1,
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACIAAAAgCAYAAAB3j6rJAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
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s/beDVh217H79A32fpsEUcU41mySeKxI4vZbxViuvh/pvheQSxt55Z1OIeFYLsMbv79+Gbrr6NPK
2P/URlbfdosYdX3sJVatWcemihrKT4yw60wSZGmnLP+uzKlZ/jPyyvh/AHGjaf68qkn5k1uZ84Lu
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QfwaiibaIqrLFyQBnq1qASny5VppIII+XpVeRW45E8mTauRLnYUoBcStJPsrVDHnIWcipw5dqJ8y
aeZAZn0xe/ulmy6rtHHo5QKJ+2KBzfQRNDSeEU5CESlLa9yakYGNFNErSjs0ro4RSLx6A+8k747U
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/3Vq0u6JJX3jFslRoFlzfcyX/n4FJF27fwEzJCQ7tCNTgAAAAABJRU5ErkJggg==
)
与OB
1相交于点B
2,设正方形OA
1B
1C
1与扇形OA
1C
1之间的阴影部分的面积为S
1;然后以OB
2为对角线作正方形OA
2B
2C
2,又以O为圆心,OA
2为半径作扇形OA
2C
2,
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACIAAAAgCAYAAAB3j6rJAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
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I12RZ9JwBGId/9bfHXaZstNwBGJ3yXKc/w9idvFfWJ8TY1uKPYUAAAAASUVORK5CYII=
)
与OB
1相交于点B
3,设正方形OA
2B
2C
2与扇形OA
2C
2之间的阴影部分面积为S
2;按此规律继续作下去,设正方形OA
nB
nC
n与扇形OA
nC
n之间的阴影部分面积为S
n.
(1)求S
1,S
2,S
3;
(2)写出S
2008;
(3)试猜想S
n(用含n的代数式表示,n为正整数).
相关试题
-
(2008•邵阳)如图,正方形OA1B1C1的边长为1,以O为圆心、OA1为半径作扇形OA1C1,
与OB1相交于点B2,设正方形OA1B1C1与扇形OA1C1之间的阴影部分的面积为S1;然后以OB2为对角线作正方形OA2B2C2,又以O为圆心,OA2为半径作扇形OA2C2,
与OB1相交于点B3,设正方形OA2B2C2与扇形OA2C2之间的阴影部分面积为S2;按此规律继续作下去,设正方形OAnBnCn与扇形OAnCn之间的阴影部分面积为Sn.
(1)求S1,S2,S3;
(2)写出S2008;
(3)试猜想Sn(用含n的代数式表示,n为正整数).
-
(2008•邵阳)如图,正方形OA1B1C1的边长为1,以O为圆心、OA1为半径作扇形OA1C1,
与OB1相交于点B2,设正方形OA1B1C1与扇形OA1C1之间的阴影部分的面积为S1;然后以OB2为对角线作正方形OA2B2C2,又以O为圆心,OA2为半径作扇形OA2C2,
与OB1相交于点B3,设正方形OA2B2C2与扇形OA2C2之间的阴影部分面积为S2;按此规律继续作下去,设正方形OAnBnCn与扇形OAnCn之间的阴影部分面积为Sn.
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(2008•邵阳)如图,正方形OA1B1C1的边长为1,以O为圆心、OA1为半径作扇形OA1C1,
与OB1相交于点B2,设正方形OA1B1C1与扇形OA1C1之间的阴影部分的面积为S1;然后以OB2为对角线作正方形OA2B2C2,又以O为圆心,OA2为半径作扇形OA2C2,
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(2008•邵阳)如图,正方形OA1B1C1的边长为1,以O为圆心、OA1为半径作扇形OA1C1,
与OB1相交于点B2,设正方形OA1B1C1与扇形OA1C1之间的阴影部分的面积为S1;然后以OB2为对角线作正方形OA2B2C2,又以O为圆心,OA2为半径作扇形OA2C2,
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(1)求S1,S2,S3;
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(2009•德化县质检)如图正方形OA1B1C1的边长为1,以O为圆心,OA为半径作扇形OA1C1,
与OB1相交于B2,设正方形OA1B1C1与扇形OA1C1之间的阴影部分面积为S1;然后以OB2为对角线作正方形OA2B2C2,又以O为圆心,OA2为半径作扇形OA2C2,
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如图,正方形OA1B1C1的边长为1,以O为圆心、OA1为半径作扇形OA1C1,
与OB1相交于点B2,设正方形OA1B1C1与扇形OA1C1之间的阴影部分的面积为S1;然后以OB2为对角线作正方形OA2B2C2,又以O为圆心,OA2为半径作扇形OA2C2,
与OB1相交于点B3,设正方形OA2B2C2与扇形OA2C2之间的阴影部分面积为S2;按此规律继续作下去,设正方形OAnBnCn与扇形OAnCn之间的阴影部分面积为Sn.
(1)求S1,S2,S3;
(2)写出S2008;
(3)试猜想Sn(用含n的代数式表示,n为正整数).
-
如图,正方形OA1B1C1的边长为1,以O为圆心、OA1为半径作扇形OA1C1,
与OB1相交于点B2,设正方形OA1B1C1与扇形OA1C1之间的阴影部分的面积为S1;然后以OB2为对角线作正方形OA2B2C2,又以O为圆心,OA2为半径作扇形OA2C2,
与OB1相交于点B3,设正方形OA2B2C2与扇形OA2C2之间的阴影部分面积为S2;按此规律继续作下去,设正方形OAnBnCn与扇形OAnCn之间的阴影部分面积为Sn.
(1)求S1,S2,S3;
(2)写出S2008;
(3)试猜想Sn(用含n的代数式表示,n为正整数).
-
如图,正方形OA1B1C1的边长为1,以O为圆心、OA1为半径作扇形OA1C1,
与OB1相交于点B2,设正方形OA1B1C1与扇形OA1C1之间的阴影部分的面积为S1;然后以OB2为对角线作正方形OA2B2C2,又以O为圆心,OA2为半径作扇形OA2C2,
与OB1相交于点B3,设正方形OA2B2C2与扇形OA2C2之间的阴影部分面积为S2;按此规律继续作下去,设正方形OAnBnCn与扇形OAnCn之间的阴影部分面积为Sn.
(1)求S1,S2,S3;
(2)写出S2008;
(3)试猜想Sn(用含n的代数式表示,n为正整数).
-
如图,正方形OA1B1C1的边长为1,以O为圆心、OA1为半径作扇形OA1C1,
与OB1相交于点B2,设正方形OA1B1C1与扇形OA1C1之间的阴影部分的面积为S1;然后以OB2为对角线作正方形OA2B2C2,又以O为圆心,OA2为半径作扇形OA2C2,
与OB1相交于点B3,设正方形OA2B2C2与扇形OA2C2之间的阴影部分面积为S2;按此规律继续作下去,设正方形OAnBnCn与扇形OAnCn之间的阴影部分面积为Sn.
(1)求S1,S2,S3;
(2)写出S2008;
(3)试猜想Sn(用含n的代数式表示,n为正整数).
-
如图,正方形OA1B1C1的边长为1,以O为圆心、OA1为半径作扇形OA1C1,
与OB1相交于点B2,设正方形OA1B1C1与扇形OA1C1之间的阴影部分的面积为S1;然后以OB2为对角线作正方形OA2B2C2,又以O为圆心,OA2为半径作扇形OA2C2,
与OB1相交于点B3,设正方形OA2B2C2与扇形OA2C2之间的阴影部分面积为S2;按此规律继续作下去,设正方形OAnBnCn与扇形OAnCn之间的阴影部分面积为Sn.
(1)求S1,S2,S3;
(2)写出S2008;
(3)试猜想Sn(用含n的代数式表示,n为正整数).