已知二次函數(shù) (1)設(shè)函數(shù)的圖象的頂點(diǎn)的橫坐標(biāo)構(gòu)成數(shù)列.求證:數(shù)列是等差數(shù)列, (2)設(shè)函數(shù)的圖象的頂點(diǎn)到y(tǒng)軸的距離構(gòu)成數(shù)列.求數(shù)列的前n項(xiàng)和. 的條件下.若數(shù)列滿足.求數(shù)列中值最大的項(xiàng)和值最小的項(xiàng). 查看更多

 

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已知二次函數(shù)f(x)=x2+2(10-3n)x+9n2-61n+100,其中n∈N*
(Ⅰ)設(shè)函數(shù)y=f(x)的圖象的頂點(diǎn)的橫坐標(biāo)構(gòu)成數(shù)列{an},求證:數(shù)列{an}為等差數(shù)列;
(Ⅱ)設(shè)函數(shù)y=f(x)的圖象的頂點(diǎn)到y(tǒng)軸的距離構(gòu)成數(shù)列{dn},求數(shù)列{dn}的前n項(xiàng)和Sn

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已知二次函數(shù)f(x)=x2-2(10-3n)x+9n2-61n+100(n∈N*).
(1)設(shè)函數(shù)y=f(x)的圖象的頂點(diǎn)的橫坐標(biāo)構(gòu)成數(shù)列{an},求證:數(shù)列{an}是等差數(shù)列;
(2)在(1)的條件下,若數(shù)列{cn}滿足cn=1+
1
4n-
25
2
+an
(n∈N*),求數(shù)列{cn}中最大的項(xiàng)和最小的項(xiàng).

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已知二次函數(shù)f(x)=x2+2(10-3n)x+9n2-61n+100,其中n∈N*
(Ⅰ)設(shè)函數(shù)y=f(x)的圖象的頂點(diǎn)的橫坐標(biāo)構(gòu)成數(shù)列{an},求證:數(shù)列{an}為等差數(shù)列;
(Ⅱ)設(shè)函數(shù)y=f(x)的圖象的頂點(diǎn)到y(tǒng)軸的距離構(gòu)成數(shù)列{dn},求數(shù)列{dn}的前n項(xiàng)和Sn

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已知二次函數(shù)f(x)=x2+2(10-3n)x+9n2-61n+100,其中n∈N*
(Ⅰ)設(shè)函數(shù)y=f(x)的圖象的頂點(diǎn)的橫坐標(biāo)構(gòu)成數(shù)列{an},求證:數(shù)列{an}為等差數(shù)列;
(Ⅱ)設(shè)函數(shù)y=f(x)的圖象的頂點(diǎn)到y(tǒng)軸的距離構(gòu)成數(shù)列{dn},求數(shù)列{dn}的前n項(xiàng)和Sn

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已知二次函數(shù)f(x)=x2+2(10-3n)x+9n2-61n+100,其中n∈N.

(1)設(shè)函數(shù)y=f(x)的圖象的頂點(diǎn)的橫坐標(biāo)構(gòu)成數(shù)列{an},求證:數(shù)列{an}為等差數(shù)列;

(2)設(shè)函數(shù)y=f(x)的圖象的頂點(diǎn)到y(tǒng)軸的距離構(gòu)成數(shù)列{dn},求數(shù)列{dn}前n項(xiàng)的和Sn.

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