題目列表(包括答案和解析)
小明為了通過(guò)描點(diǎn)法作出函數(shù)的圖象,先取自變量x的7個(gè)值滿(mǎn)足:
x2-x1 = x3-x2 = … = x7-x6 = d,再分別算出對(duì)應(yīng)的y值,列出表1:
表1:
x | x1 | x2 | x3 | x4 | x5 | x6 | x7 |
y | 1 | 3 | 7 | 13 | 21 | 31 | 43 |
記m1 = y2-y1,m2 = y3-y2,m3 = y4-y3,m4 = y5-y4,…;s1 = m2-m1,s2 = m3-m2,
s3 = m4-m3,…
⑴判斷s1、s2、s3之間關(guān)系,并說(shuō)明理由;
⑵若將函數(shù)“”改為“”,列出表2:
表2:
x | x1 | x2 | x3 | x4 | x5 | x6 | x7 |
y | y1 | y2 | y3 | y4 | y5 | y6 | y7 |
其他條件不變,判斷s1、s2、s3之間關(guān)系,并說(shuō)明理由;
⑶小明為了通過(guò)描點(diǎn)法作出函數(shù)的圖象,列出表3:
表3:
x | x1 | x2 | x3 | x4 | x5 | x6 | x7 |
y | 10 | 50 | 110 | 190 | 290 | 412 | 550 |
由于小明的粗心,表3中有一個(gè)y值算錯(cuò)了,請(qǐng)指出算錯(cuò)的y值(直接寫(xiě)答案).
x | x1 | x2 | x3 | x4 | x5 | x6 | x7 |
y | 1 | 3 | 7 | 13 | 21 | 31 | 43 |
x | x1 | x2 | x3 | x4 | x5 | x6 | x7 |
y | y1 | y2 | y3 | y4 | y5 | y6 | y7 |
x | x1 | x2 | x3 | x4 | x5 | x6 | x7 |
y | 10 | 50 | 110 | 190 | 290 | 412 | 550 |
x | x1 | x2 | x3 | x4 | x5 | x6 | x7 |
y | 1 | 3 | 7 | 13 | 21 | 31 | 43 |
x | x1 | x2 | x3 | x4 | x5 | x6 | x7 |
y | y1 | y2 | y3 | y4 | y5 | y6 | y7 |
x | x1 | x2 | x3 | x4 | x5 | x6 | x7 |
y | 10 | 50 | 110 | 190 | 290 | 412 | 550 |
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