配套习题- 反比例函数系数k与图形面积的关系 -【青果学院】

挑战习题

1/6单选题

难度：

如图，正比例函数y=x与反比例函数y=的图象相交于A、B两点，BC⊥x轴于点C，则△ABC的面积为（　）

A	1
B	2
C
D

提示1：: PHA+55Sx5LqO5q2j5q+U5L6L5Ye95pWweT145LiO5Y+N5q+U5L6L5Ye95pWweT08aW1nIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvOTMvMUEvckJBQ0UxUGJZcXVUbm0wZUFBQUJRd0lHQkJNMzcxLnBuZyIgZGF0YS1ja2Utc2F2ZWQtc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC85My8xQS9yQkFDRTFQYllxdVRubTBlQUFBQlF3SUdCQk0zNzEucG5nIiBoZWlnaHQ9IjQyIiB3aWR0aD0iNyI+55qE5Zu+6LGh55u45Lqk5LqOQeOAgULkuKTngrnvvIzliJnngrlB5LiO54K5QuWFs+S6juWOn+eCueWvueensO+8jOaJgOS7pVM8c3ViPuKWs0FPQzwvc3ViPj1TPHN1Yj7ilrNCT0M8L3N1Yj48L3A+

正确答案：QQ==

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2/6单选题

难度：

2.如图，过点O作直线与双曲线y=

（k≠0）交于A、B两点，过点B作BC⊥x轴于点C，作BD⊥y轴于点D. 在x轴上分别取点E、F，使点A、E、F在同一条直线上，且AE=AF. 设图中矩形ODBC的面积为S₁，△EOF的面积为S₂，则S₁、S₂的数量关系是（　　）

A	S₁=S₂
B	2S₁=S₂
C	3S₁=S₂
D	4S₁=S₂

提示1：: IOagueaNrumimOaEj++8jOaYk+W+l0FC5Lik54K55YWz5LiO5Y6f54K55a+556ew77yM5Y+v6K6+QeeCueWdkOagh+S4uu+8iG3vvIxu77yJ77yM5YiZQueahOWdkOagh+S4uu+8iC1t77yMLW7vvIk=

提示2：: IOWcqFJ04pazRU9G5Lit77yM55SxQUU9QUbvvIzlj6/lvpdB5Li6RUbkuK3ngrnvvIzliIbmnpDorqHnrpflj6/lvpdTPHN1Yj4yPC9zdWI+77yM55+p5b2iT0NCROS4re+8jOaYk+W+l1M8c3ViPjE8L3N1Yj7vvIzmr5TovoPlj6/lvpfnrZTmoYgu

正确答案：Qg==

6Kej77ya6K6+QeeCueWdkOagh+S4uu+8iG3vvIxu77yJ77yMPGJyPui/h+eCuU/nmoTnm7Tnur/kuI7lj4zmm7Lnur95PTxpbWcgd2lkdGg9NyBoZWlnaHQ9NDIgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC85My8xQi9yQkFDRTFQYllySENIX2IyQUFBQldXekFSeDQwMDYucG5nIj48YnI+5Lqk5LqOQeOAgULkuKTngrnvvIzliJlB44CBQuS4pOeCueWFs+S4juWOn+eCueWvueensO+8jOWImULnmoTlnZDmoIfkuLrvvIgtbe+8jC1u77yJ77ybPGJyPuefqeW9ok9DQkTkuK3vvIzmmJPlvpdPRD0tbu+8jE9DPW3vvJvliJlTPHN1Yj4xPC9zdWI+PS1tbu+8mzxicj7lnKhSdOKWs0VPRuS4re+8jEFFPUFG77yM5pWFQeS4ukVG5Lit54K577yMPGJyPueUseS4reS9jee6v+eahOaAp+i0qOWPr+W+l09GPS0ybu+8jE9FPTJt77ybPGJyPuWImVM8c3ViPjI8L3N1Yj49T0bDl09FPS00bW7vvJs8YnI+5pWFMlM8c3ViPjE8L3N1Yj49UzxzdWI+Mjwvc3ViPi4gPGJyPuaVhemAiUIuIA==

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3/6单选题

难度：

如图，A、B两点在双曲线y=上，分别经过A、B两点向轴作垂线段，已知S_阴影=1，则S₁+S₂=（　　）

A	3
B	4
C	5
D	6

提示1：: PHA+5qyy5rGCUzxzdWI+MTwvc3ViPitTPHN1Yj4yPC9zdWI+77yM5Y+q6KaB5rGC5Ye66L+HQeOAgULkuKTngrnlkJF46L2044CBeei9tOS9nOWegue6v+auteaxguWHuuS4juWdkOagh+i9tOaJgOW9ouaIkOeahOefqeW9oueahOmdouenr+WNs+WPrzwvcD4=

正确答案：RA==

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4/6单选题

难度：

4.如图，双曲线y=

（k＞0）与⊙O在第一象限内交于P，Q两点，分别过P，Q两点向x轴、y轴作垂线，已知点P坐标为（1，3），则图中阴影部分的面积为（　　）

A	4
B	3
C	6
D	8

提示1：: IOagueaNruWPjeavlOS+i+WHveaVsOWSjOWchueahOWvueensOaAp+W+l+WIsOeCuVDkuI7ngrlR5YWz5LqO55u057q/eT145a+556ew5b6X5YiwUeeCueWdkOagh+S4uu+8iDPvvIwx77yJ

正确答案：QQ==

6Kej77ya4oi15Y+M5puy57q/eT08aW1nIHdpZHRoPTcgaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvOTMvMUIvckJBQ0UxUGJZckhDSF9iMkFBQUJXV3pBUng0MDA2LnBuZyI+77yIa++8njDvvInkuI7iiplP5Zyo56ys5LiA6LGh6ZmQ5YaF5Lqk5LqOUO+8jFHkuKTngrnvvIw8YnI+4oi054K5UOS4jueCuVHlhbPkuo7nm7Tnur95PXjlr7nnp7DvvIw8YnI+4oi0UeeCueWdkOagh+S4uu+8iDPvvIwx77yJ77yMPGJyPuKItOWbvuS4remYtOW9semDqOWIhueahOmdouenrz0yw5cxw5czLTLDlzHDlzE9NC4gPGJyPuaVhemAiUEuIA==

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5/6单选题

难度：

如图，A是反比例函数y=图象上一点，过点A作AB⊥y轴于点B，点P在x轴上，△ABP的面积为2，则k的值为（　　）

A	1
B	2
C	3
D	4

提示1：: 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

正确答案：RA==

PHA+6Kej77ya5qC55o2u5Y+N5q+U5L6L5Ye95pWw55qE5Yeg5L2V5oSP5LmJ5Y+v5b6X77yMUzxzdWI+4pazQUJQPC9zdWI+PTxpbWcgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC85My8xQi9yQkFDRTFQYllzRGlud29SQUFBQlNINnE0WEU0MTgucG5nIiBkYXRhLWNrZS1zYXZlZC1zcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzkzLzFCL3JCQUNFMVBiWXNEaW53b1JBQUFCU0g2cTRYRTQxOC5wbmciIGhlaWdodD0iNDIiIHdpZHRoPSIxMiI+PTLvvIw8YnI+5Y+I4oi15Ye95pWw5Zu+6LGh5Zyo56ys5LiA6LGh6ZmQ77yMPGJyPuKItGs9NC48YnI+5pWF6YCJRC48L3A+

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6/6单选题

难度：

6.如图，点B是反比例函数上一点，矩形OABC的周长是20，正方形BCGH和正方形OCDF的面积之和为68，则反比例函数的解析式是（）

A	y=
B	y=
C	y=
D	y=

提示1：: IOiuvkLngrnlnZDmoIfkuLrvvIh477yMee+8ie+8jOagueaNruato+aWueW9okJDR0jlkozmraPmlrnlvaJPQ0RG55qE6Z2i56ev5LmL5ZKM5Li6NjjvvIznn6nlvaJPQUJD55qE5ZGo6ZW/5pivMjDlvpfliLB4PHN1cD4yPC9zdXA+K3k8c3VwPjI8L3N1cD49NjjvvIx4K3k9MTDvvIzlho3liKnnlKjlrozlhajlubPmlrnlhazlvI/lj6/lvpfliLB4eT0xNu+8jOeEtuWQjuagueaNruWPjeavlOS+i+WHveaVsOeahOavlOS+i+ezu+aVsGvnmoTlh6DkvZXmhI/kuYnlj6/noa7lrprlhbbop6PmnpDlvI8u

正确答案：RA==

6Kej77ya6K6+QueCueWdkOagh+S4uu+8iHjvvIx577yJ77yMPGJyPuagueaNrumimOaEj+W+l3g8c3VwPjI8L3N1cD4reTxzdXA+Mjwvc3VwPj02OO+8jHgreT0xMO+8jDxicj7iiLTvvIh4K3nvvIk8c3VwPjI8L3N1cD49MTAw77yMPGJyPuKItHg8c3VwPjI8L3N1cD4rMnh5K3k8c3VwPjI8L3N1cD49MTAw77yM5Y2zNjgrMnh5PTEwMO+8jDxicj7iiLR4eT0xNu+8jDxicj7iiLTlj43mr5Tkvovlh73mlbDnmoTop6PmnpDlvI/kuLp5PTxpbWcgd2lkdGg9MTIgaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvOTMvMUIvckJBQ0UxUGJZc2J3X2xGWEFBQUJhd1pHU3VvNzExLnBuZyI+PGJyPuaVhemAiUQuIA==

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