配套习题- 利用正方形性质解决有关面积问题 -【青果学院】

挑战习题

1/5单选题

难度：

1.如图，点E在正方形ABCD内，满足∠AEB=90°，AE=6，BE=8，则阴影部分的面积是（　　）青果学院

A	48
B	60
C	76
D	80

提示1：: IOeUseW3suefpeW+l+KWs0FCReS4uuebtOinkuS4ieinkuW9ou+8jOeUqOWLvuiCoeWumueQhuaxguato+aWueW9oueahOi+uemVv0FC

提示2：: IOeUqFM8c3ViPumYtOW9semDqOWIhjwvc3ViPj1TPHN1Yj7mraPmlrnlvaI8L3N1Yj48c3ViPkFCQ0Q8L3N1Yj4tUzxzdWI+4pazPC9zdWI+PHN1Yj5BQkU8L3N1Yj7msYLpnaLnp68=

正确答案：Qw==

6Kej77ya4oi14oigQUVCPTkwwrDvvIxBRT0277yMQkU9OO+8jDxicj7iiLTlnKhSdOKWs0FCReS4re+8jEFCPHN1cD4yPC9zdXA+PUFFPHN1cD4yPC9zdXA+K0JFPHN1cD4yPC9zdXA+PTEwMO+8jDxicj7iiLRTPHN1Yj7pmLTlvbHpg6jliIY8L3N1Yj49UzxzdWI+5q2j5pa55b2iQUJDRDwvc3ViPi1TPHN1Yj7ilrNBQkU8YnI+PC9zdWI+PUFCPHN1cD4yPC9zdXA+LTxpbWcgd2lkdGg9OCBoZWlnaHQ9NDIgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC9BMC9CNS9yQkFDRTFPV3VFalNnaUZ4QUFBQkRsTkJqODAzODUucG5nIj7Dl0FFw5dCRT0xMDAtMjQ9NzY8YnI+5pWF6YCJQy4g

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2/5单选题

难度：

2.如图，将边长为

的正方形ABCD沿对角线AC平移，使点A移至线段AC的中点A′处，得新正方形A′B′C′D′，新正方形与原正方形重叠部分（图中阴影部分）的面积是（　　）青果学院

A
B
C	1
D

提示1：: IOagueaNrumimOaEj+WPr+W+l++8jOmYtOW9semDqOWIhueahOWbvuW9ouaYr+ato+aWueW9og==

提示2：: IOato+aWueW9okFCQ0TnmoTovrnplb/kuLo8aW1nIHdpZHRoPTIzIGhlaWdodD00MiBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwL0EwL0I1L3JCQUNFMU9XdUV1dzFLTkRBQUFCa1g2Q09zczE2MS5wbmciPu+8jOWImUFDPTLvvIzlj6/lvpflh7pB4oCyQz0x77yM5Y+v5b6X5Ye65YW26Z2i56evLg==

正确答案：Qg==

6Kej77ya4oi15q2j5pa55b2iQUJDROeahOi+uemVv+S4ujxpbWcgd2lkdGg9MjMgaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvQTAvQjUvckJBQ0UxT1d1RXV3MUtOREFBQUJrWDZDT3NzMTYxLnBuZyI+PGJyPuKItEFDPTLvvIw8YnI+5Y+I4oi154K5QeKAsuaYr+e6v+autUFD55qE5Lit54K577yMPGJyPuKItEHigLJDPTHvvIw8YnI+4oi0UzxzdWI+6Zi05b2xPC9zdWI+PTxpbWcgd2lkdGg9MTA0IGhlaWdodD00MiBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzY0Lzk5L3JCQUNGRk9XdUV2UV9VVWxBQUFDRzIzV1hHVTMwOC5wbmciPjxicj7mlYXpgIlCLiA=

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3/5单选题

难度：

3.在下面图形中，每个大正方形网格都是由边长为1的小正方形组成，则图中阴影部分面积最大的是（　　）

A
B
C
D

提示1：: IOagueaNruato+aWueW9oueahOaAp+i0qOaKiuS4jeinhOWImeWbvuW9oueahOmdouenr+WPr+S7peeci+aIkOaYr+inhOWImeWbvuW9oueahOmdouenr+eahOWSjOaIluW3ru+8jOS7juiAjOWPr+W+l+WIsOWbvuS4remYtOW9semDqOWIhumdouenr+acgOWkp+eahOWbvuW9oi4=

正确答案：RA==

6Kej77ya5LiN6KeE5YiZ5Zu+5b2i55qE6Z2i56ev5Y+v5Lul55yL5oiQ5piv6KeE5YiZ5Zu+5b2i55qE6Z2i56ev55qE5ZKM5oiW5beu77yM5qC55o2u5q2j5pa55b2i55qE5oCn6LSo6K6h566X5b6X77yM5Zu+5Lit6Zi05b2x6YOo5YiG6Z2i56ev5pyA5aSn55qE5piv56ys5Zub6YCJ6aG5LiA8YnI+5pWF6YCJRC4g

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4/5单选题

难度：

4.某正方形园地是由边长为1的四个小正方形组成的，现在园地上建一个花园（即每个图中的阴影部分），使花坛面积是园地面积的一半，以下图中的设计不合要求的是（　　）

A
B
C
D

提示1：: IOagueaNruato+aWueW9oueahOWvueensOaAp++8jOmAkOS4qui/m+ihjOWIpOaWre+8jOWPr+efpUHjgIFD44CBROS4reeahOiKseWdm+mdouenr+Wdh+aYr+WbreWcsOmdouenr+eahOS4gOWNiu+8jOiAjELkuI3mmK8u

正确答案：Qg==

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5/5单选题

难度：

5.正方形ABCD，正方形BEFG和正方形RKPF的位置如图所示，点G在线段DK上，且G为BC的三等分点，R为EF中点，正方形BEFG的边长为4，则△DEK的面积为（　　）青果学院

A	10
B	12
C	14
D	16

提示1：: IOi/nkRC77yMR0XvvIxGS++8jOWImURC4oilR0XiiKVGSw==

提示2：: IOagueaNruetieW6leetiemrmOeahOS4ieinkuW9oumdouenr+ebuOetie+8jOato+aWueW9okJFRkfnmoTovrnplb/kuLo05Y+v5rGC5Ye6UzxzdWI+4pazPC9zdWI+PHN1Yj5ER0U8L3N1Yj49UzxzdWI+4pazPC9zdWI+PHN1Yj5HRUI8L3N1Yj7vvIxTPHN1Yj7ilrM8L3N1Yj48c3ViPkdLRTwvc3ViPj1TPHN1Yj7ilrM8L3N1Yj48c3ViPkdGRTwvc3ViPg==

提示3：: IOWGjeeUsVM8c3ViPumYtOW9sTwvc3ViPj1TPHN1Yj7mraPmlrnlvaI8L3N1Yj48c3ViPkdCRUY8L3N1Yj7ljbPlj6/msYLlh7rnrZTmoYgu

正确答案：RA==

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