配套习题- 二次函数应用——面积最值问题解决策略 -【青果学院】

1/5单选题

难度：

1.用长8m的铝合金条制成如图形状的矩形窗框，使窗户的透光面积最大，那么这个窗户的最大透光面积是（　　）m²

A
B
C
D	4

正确答案：Qw==

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

2/5单选题

难度：

2.用铝合金型材做一个形状如图1的矩形窗框，设窗框的一边为xm，窗户的透光面积为ym²，y与x的函数图象如图2. 当窗户透光面积最大时，窗框的另一边长是（　　）

A	1米
B	1.5米
C	2米
D	2.5米

正确答案：Qg==

6Kej77ya55Sx5Zu+6LGh5Y+v55+l77yM5b2TeD0x5pe277yM56qX5oi36YCP5YWJ6Z2i56ev5pyA5aSnLiA8YnI+5Zug5Li65pyA5aSn6YCP5YWJ6Z2i56ev5pivMS415bmz5pa557Gz77yM5Y2z55+p5b2i55qE5pyA5aSn6Z2i56ev5pivMS415bmz5pa557Gz77yM5q2k5pe2eD0x57Gz77yMPGJyPuagueaNruefqeW9oumdouenr+iuoeeul+WFrOW8j++8jOWPpuS4gOi+ueS4ujEuNeexsy4gPGJyPuaVhemAie+8mkIuIA==

3/5单选题

难度：

3.把一段长1.6m的铁丝围成长方形ABCD，设宽为xm，面积为ym². 则当y最大时，x所取的值是（　　）

A	0.5
B	0.4
C	0.3
D	0.6

正确答案：Qg==

6Kej77ya55Sx6aKY5oSP77yM5b6XPGJyPnk9eO+8iDAuOC1477yJ77yMPGJyPnk9LXg8c3VwPjI8L3N1cD4rMC44eO+8jDxicj49Le+8iHgtMC4077yJPHN1cD4yPC9zdXA+KzAuMTY8YnI+4oi0YT0tMe+8nDDvvIw8YnI+4oi05oqb54mp57q/5byA5Y+j5ZCR5LiL77yM5b2TeD0wLjTml7bvvIx55pyA5aSn5YC8LiA8YnI+5pWF6YCJQi4g

4/5单选题

难度：

4.如图，一边靠校园围墙，其他三边用总长为40米的铁栏杆围成一个矩形花圃，设矩形ABCD的边AB为x米，面积为S平方米，要使矩形ABCD面积最大，则x的长为（　　）米

A	10
B	15
C	20
D	25

正确答案：QQ==

6Kej77ya6K6+55+p5b2iQUJDROeahOi+uUFC5Li6eOexs++8jOWImeWuveS4ujQwLTJ477yMPGJyPlM977yINDAtMnjvvIl4PS0yeDxzdXA+Mjwvc3VwPis0MHguIDxicj7opoHkvb/nn6nlvaJBQkNE6Z2i56ev5pyA5aSn77yMPGJyPuWImXg9LTxpbWcgd2lkdGg9MTIgaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvNjIvODkvckJBQ0ZGT1Zkdk9CYXhPRkFBQUJaMHpjSTJFMjIxLnBuZyI+PSAxMG3vvIw8YnI+5Y2zeOeahOmVv+S4ujEwbS4gPGJyPuaVhemAiUEuIA==

5/5单选题

难度：

5.如图，某厂有许多形状为直角梯形的铁皮边角料，为节约资源，现要按图中所示的方法从这些边角料上截取矩形（阴影部分）片备用，当截取的矩形面积最大时，矩形两边长x、y应分别为（　　）

A	x=10，y=14
B	x=14，y=10
C	x=12，y=15
D	x=15，y=12

正确答案：RA==

6Kej77ya5Lul55u06KeS5qKv5b2i55qE5LiL5bqV55u06KeS6L6556uv54K55Li65Y6f54K577yM5Lik55u06KeS6L655pa55ZCR5Li6eO+8jHnovbTlu7rnq4vnm7Top5LlnZDmoIfns7vvvIzov4fngrlE5L2cREXiiqV46L205LqO54K5Re+8jDxpbWcgd2lkdGg9MTU2IGhlaWdodD0xMzkgc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC85RS9BMC9yQkFDRTFPVmR1T0EwdGJIQUFCQVNuUGgwUTA1OTAucG5nIiA+PGJyPuKItU5I4oilREXvvIw8YnI+4oi04pazQ05I4oi94pazQ0RF77yMPGJyPuKItDxpbWcgd2lkdGg9NDcgaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvNjIvODkvckJBQ0ZGT1ZkdVRCT0tRaUFBQUI4MmE2RFZVNDM2LnBuZyI+PGJyPuKItUNIPTI0LXnvvIxDRT0yNC0477yMREU9T0E9MjDvvIxOSD1477yMPGJyPuKItDxpbWcgd2lkdGg9MjUgaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvNjIvODkvckJBQ0ZGT1ZkdVBRUUx6NkFBQUJ0VTg2UVQwMzEyLnBuZyI+PTxpbWcgd2lkdGg9MTIgaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvOUUvQTAvckJBQ0UxT1ZkdU9qTl9KOUFBQUJYU0V5UmJJMDk2LnBuZyI+77yM5b6XeD08aW1nIHdpZHRoPTY3IGhlaWdodD00MiBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzlFL0EwL3JCQUNFMU9WZHVQelhscnhBQUFDVFVlcWRSNDc4Mi5wbmciPjxicj7iiLTnn6nlvaLpnaLnp69TPXh5PS08aW1nIHdpZHRoPTYgaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvNjIvODkvckJBQ0ZGT1ZkdU9TcktieUFBQUJOamZBS28wNzAwLnBuZyI+77yIeS0xMu+8iTxzdXA+Mjwvc3VwPisxODDvvIw8YnI+4oi05b2TeT0xMuaXtu+8jFPmnInmnIDlpKflgLzvvIzmraTml7Z4PTE1LiA8YnI+5pWF6YCJRC4gPGJyPg==