\displaystyle \frac{a _{1}}{b _{1} + 1} = 2

8b:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["",["$","span","p0-1-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

n = 1

"}}],"일 때, ",["$","span","p0-1-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$ed"}}],"에서 ","$Lee","이다.\n","$Lef"," 이상의 모든 자연수 ","$Lf0","에 대하여\n","$Lf1","이므로\n","$Lf2","\t\t","$Lf3","","$Lf4"," ㉠\n이다.\n","$Lf5","일 때도 ㉠이 성립하므로 모든 자연수 ","$Lf6","에 대하여\n","$Lf7","\t\t","$Lf8","","$Lf9"," ㉡\n이다.\n그러므로 등비수열 ","$Lfa","의 공비는 ","$Lfb","이다.\n따라서 ㉡에 의하여 ","$Lfc","이다."]}] fd:T44f,

p + q + r

8c:["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["위의 (가), (나), (다)에 알맞은 수를 각각 ",["$","span","p0-2-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

p

"}}],", ",["$","span","p0-2-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

q

"}}],", ",["$","span","p0-2-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

r

"}}],"이라 할 때,\n",["$","span","p0-2-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$fd"}}],"의 값은? [4점]\n① ",["$","span","p0-2-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

136

"}}],"\n② ","$Lfe","\n③ ","$Lff","\n④ ","$L100","\n⑤ ","$L101",""]}] 8f:["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{P}} \\left( 1 , - 5 \\right)

"}}] 102:T464,

y = f \left( x \right)

90:["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$102"}}] 91:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{P}}

"}}] 92:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{Q}}

"}}] 103:T464,

y = f \left( x \right)

93:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$103"}}] 94:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{Q}}

"}}] 95:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x

"}}] 96:["$","span","p0-0-t0-m19",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

y

"}}] 97:["$","span","p0-0-t0-m21",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

8

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

10

"}}] 99:["$","span","p0-0-t0-m25",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

12

"}}] 9a:["$","span","p0-0-t0-m27",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

14

"}}] 9b:["$","span","p0-0-t0-m29",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

16

"}}] 104:T45c,

0 \leq t \leq 2 \pi

9e:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$104"}}] 9f:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

t

"}}] a0:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x

"}}] 105:T5a4,

f \left( x \right) = f \left( t \right)

a1:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$105"}}] a2:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x

"}}] 106:T55b,

\displaystyle \frac{7}{4} \pi

a3:["$","span","p0-0-t0-m19",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$106"}}] a4:["$","span","p0-0-t0-m21",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

t

"}}] a5:["$","span","p0-0-t0-m23",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

4

"}}] 107:T61f,

a ^{2} + b ^{2}

a6:["$","span","p0-0-t0-m25",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$107"}}] 108:T509,

\displaystyle \frac{13}{2}

a7:["$","span","p0-0-t0-m27",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$108"}}] 109:T509,

\displaystyle \frac{27}{4}

a8:["$","span","p0-0-t0-m29",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$109"}}] a9:["$","span","p0-0-t0-m31",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

7

"}}] 10a:T509,

\displaystyle \frac{29}{4}

aa:["$","span","p0-0-t0-m33",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$10a"}}] 10b:T509,

\displaystyle \frac{15}{2}

ab:["$","span","p0-0-t0-m35",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$10b"}}] ad:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

g \\left( x \\right)

"}}] ae:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a + b

"}}] 10c:T615,

\left\{ x \left| \right. g \left( x \right) = - 27 \right\}

10d:Td9d,

\left\{ x \left| \right. g \left( x \right) = - 27 \right\} \subset \left\{ x \left| \right. g' \left( x \right) = 0 \right\}

af:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["(가) 집합 ",["$","span","p0-1-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$10c"}}],"의 원소의 개수는 ",["$","span","p0-1-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

2

"}}],"이다.\n(나) ",["$","span","p0-1-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$10d"}}],""]}] 10e:T509,

\displaystyle \frac{85}{4}

10f:T509,

\displaystyle \frac{87}{4}

110:T509,

\displaystyle \frac{89}{4}

b0:["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["① ",["$","span","p0-2-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$10e"}}],"\n② ",["$","span","p0-2-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$10f"}}],"\n③ ",["$","span","p0-2-t0-m5",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$110"}}],"\n④ ","$L111","\n⑤ ","$L112",""]}] 113:Tb1a,

a _{n + 1} = a _{n} \mathit{^{2}} - 3 n

b3:["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$113"}}] b4:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a _{3}

"}}] 114:T417,

F \left( 1 \right) = 5

b6:["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$114"}}] b7:["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

F \\left( 2 \\right)

"}}] 115:T6ce,

\displaystyle \cos A = - \frac{1}{4}

ba:["$","span","p0-0-t0-m7",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$115"}}] 116:T5d6,

\displaystyle {\overline{\mathrm{BC}}} ^{2}

bb:["$","span","p0-0-t0-m9",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$116"}}] bd:["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

f \\left( x \\right)

"}}] be:["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

5

"}}] bf:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a + b

"}}] c0:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a

"}}] c1:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

b

"}}] 117:Tb51,

\displaystyle 20 \leq \sum\limits _{k = 1} ^{m} a _{k} < 30

c4:["$","span","p0-0-t0-m7",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$117"}}] c5:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

m

"}}] c8:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

f \\left( 4 \\right)

"}}] 118:T603,

g' \left( x \right) = 0

c9:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["(가) ",["$","span","p0-1-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x \\geq k

"}}],"인 모든 실수 ",["$","span","p0-1-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x

"}}],"에 대하여\n",["$","span","p0-1-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$118"}}],"을 만족시키는 실수 ",["$","span","p0-1-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

k

"}}],"의 최솟값이 ","$L119","이다.\n(나) ","$L11a",""]}] cc:["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

t

"}}] cd:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x = t

"}}] 11b:T464,

y = f \left( x \right)

ce:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$11b"}}] 11c:T464,

y = g \left( x \right)

cf:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$11c"}}] d0:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

A

2026년-03월-고3-수학문제(공통)