( x + y ) ^{2} \geq 4 xy

78:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$134"}}] 135:T272d,

\displaystyle \sum\limits _{k=1} ^{n} \frac{a _{k} b _{k}}{a _{k} + b _{k}} \leq \sum\limits _{k=1} ^{n} \square {( \text{가} )} = \frac{1}{2} \sum\limits _{k=1} ^{n} a _{k}

79:["$","span","p0-0-t0-m13",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$135"}}] 136:T2d7b,

\displaystyle \sum\limits _{k=1} ^{n} \frac{a _{k} ^{2}}{a _{k} + b _{k}} = \sum\limits _{k=1} ^{n} \square {( \text{나} )} - \sum\limits _{k=1} ^{n} \frac{a _{k} b _{k}}{a _{k} + b _{k}}

7a:["$","span","p0-0-t0-m15",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$136"}}] 137:Tb4c,

\displaystyle \geq \square {( \text{다} )} \sum\limits _{k=1} ^{n} a _{k}

7b:["$","span","p0-0-t0-m17",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$137"}}] 7c:["$","span","p0-0-t0-m19",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

n

"}}] 138:T1c92,

\displaystyle \sum\limits _{k=1} ^{n} \frac{a _{k} ^{2}}{a _{k} + b _{k}} \geq \square {( \text{다} )} \sum\limits _{k=1} ^{n} a _{k}

7d:["$","span","p0-0-t0-m21",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$138"}}] 139:T7b0,

a _{k} = b _{k}

7e:["$","span","p0-0-t0-m23",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$139"}}] 13a:T555,

k = 1 , 2 , \cdots , n

7f:["$","span","p0-0-t0-m25",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$13a"}}] 13b:T128a,

\displaystyle \frac{1}{4} ( a _{k} + b _{k} ) , a _{k} , \frac{1}{2}

80:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["위 증명에서 (가), (나), (다)에 알맞은 것은? [3점]\n① ",["$","span","p0-1-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$13b"}}],"\n② ","$L13c","\n③ ","$L13d","\n④ ","$L13e","\n⑤ ","$L13f",""]}] 140:T84f,

f' ( - x ) = f' ( x )

82:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$140"}}] 83:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x

"}}] 141:T66c,

\left| f ( x ) \right| \leq M x ^{2}

84:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$141"}}] 142:T557,

f' ( 0 ) = 0

85:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$142"}}] 86:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

M

"}}] 143:Tfa8,

\displaystyle \lim\limits _{h \rightarrow 0} {} \frac{f ( c + h ) + f ( c - h ) - 2 f ( c )}{h} = 0

87:["$","span","p0-0-t0-m19",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$143"}}] 88:["$","span","p0-0-t0-m21",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

f ( x )

"}}] 89:["$","span","p0-0-t0-m23",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x = c

"}}] 8a:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["① ㄱ\n② ㄴ\n③ ㄱ, ㄴ\n④ ㄱ, ㄷ\n⑤ ㄱ, ㄴ, ㄷ"]}] 144:T432,

z = 3 + 4 i

8d:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$144"}}] 145:Ted7,

\displaystyle M ( z ) = \begin{pmatrix} 3 & & - 4 \\ 4 & & 3 \end{pmatrix}

8e:["$","span","p0-0-t0-m11",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$145"}}] 8f:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

E

"}}] 146:T81a,

\displaystyle i = \sqrt{- 1}

90:["$","span","p0-0-t0-m15",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$146"}}] 147:T70a,

z _{1} , z _{2}

2009년-10월-대전-수리가형