\displaystyle 3 \sqrt{3}

a2:["$","span","p0-0-t0-m21",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$12d"}}] a4:["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

2

"}}] a5:["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

k

"}}] a6:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

10

"}}] a7:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

14

"}}] a8:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

18

"}}] a9:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

22

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

26

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

q

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

\\sim p

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

a

"}}] b0:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

M

"}}] b1:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

m

"}}] b2:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

M + m

"}}] b3:["$","span","p0-0-t0-m19",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

- 5

"}}] b4:["$","span","p0-0-t0-m21",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

- 3

"}}] b5:["$","span","p0-0-t0-m23",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

- 1

"}}] b6:["$","span","p0-0-t0-m25",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

1

"}}] b7:["$","span","p0-0-t0-m27",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

3

"}}] b8:["$","span","p0-1-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

1

"}}] b9:["$","span","p0-1-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

1

"}}] ba:["$","span","p0-1-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

3

"}}] bb:["$","span","p0-1-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{A}}

"}}] bc:["$","span","p0-1-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{B}}

"}}] bd:["$","span","p0-1-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

1

"}}] be:["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["① ",["$","span","p0-2-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

56

"}}],"\n② ",["$","span","p0-2-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

60

"}}],"\n③ ",["$","span","p0-2-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

64

"}}],"\n④ ",["$","span","p0-2-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

68

"}}],"\n⑤ ",["$","span","p0-2-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

72

"}}],""]}] 12e:T6e6,

f \left( x \right) f \left( x - k \right) = 0

c0:["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$12e"}}] c1:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

g \\left( k \\right)

"}}] 12f:T88c,

g \left( k - 7 \right) + g \left( k + 1 \right) = 6

c2:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$12f"}}] c3:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

k

"}}] c4:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

9

"}}] c5:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

10

"}}] c6:["$","span","p0-0-t0-m19",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

11

"}}] c7:["$","span","p0-0-t0-m21",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

12

"}}] c8:["$","span","p0-0-t0-m23",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

13

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

5

"}}],"명의 관광객 중 어느 관광객도 객실 번호가 ",["$","span","p0-3-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

102

"}}],", ",["$","span","p0-3-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

204

"}}],"인 객실에는 숙박하지 않는다.\n(나) ",["$","span","p0-3-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{A}}

"}}],"와 ",["$","span","p0-3-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{B}}

"}}],"가 숙박하는 객실 번호의 차는 ",["$","span","p0-3-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

1

"}}]," 또는 ",["$","span","p0-3-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

100

"}}],"이다.\n(다) ","$L130","와 ","$L131","가 숙박하는 객실 번호의 차는 ","$L132","보다 크고 ","$L133","이 아니다."]}] ca:["$","p","p0-4",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["① ",["$","span","p0-4-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

800

"}}],"\n② ",["$","span","p0-4-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

840

"}}],"\n③ ",["$","span","p0-4-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

880

"}}],"\n④ ",["$","span","p0-4-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

920

"}}],"\n⑤ ",["$","span","p0-4-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

960

"}}],""]}] 134:T546,

P _{2} \left( x \right)

cc:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$134"}}] 135:T5a4,

f \left( x \right) + g \left( x \right)

136:T546,

P _{1} \left( x \right)

137:T546,

P _{2} \left( x \right)

cd:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["(가) 다항식 ",["$","span","p0-1-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$135"}}],"는 세 다항식 ",["$","span","p0-1-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$136"}}],", ",["$","span","p0-1-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$137"}}],",\n","$L138","으로 각각 나누어떨어진다.\n(나) 두 다항식 ","$L139",", ","$L13a","는 각각 다항식 ","$L13b","로\n나누어떨어진다."]}] 13c:T58e,

f \left( 1 \right) = g \left( 1 \right)

13d:T417,

f \left( 2 \right) = 1

ce:["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["",["$","span","p0-2-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$13c"}}],"이고 ",["$","span","p0-2-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$13d"}}],"일 때, ",["$","span","p0-2-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

g \\left( 3 \\right)

"}}],"의 값은? [4점]\n① ","$L13e","\n② ","$L13f","\n③ ","$L140","\n④ ","$L141","\n⑤ ","$L142",""]}] 143:Tae3,

\displaystyle f \left( 2 \right) = p + q \sqrt{2}

d0:["$","span","p0-0-t0-m7",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$143"}}] d1:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

p - q

"}}] d2:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

p

"}}] d3:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

q

"}}] 144:T42d,

f \left( x \right) = t

d4:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["(가) ",["$","span","p0-1-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x

"}}],"에 대한 방정식 ",["$","span","p0-1-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$144"}}],"의 서로 다른 실근의 개수가\n",["$","span","p0-1-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

2

"}}],"가 되도록 하는 실수 ",["$","span","p0-1-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

t

"}}],"의 개수는 ",["$","span","p0-1-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

1

"}}],"이다.\n(나) 모든 정수 ",["$","span","p0-1-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

k

"}}],"에 대하여 ","$L145","이다."]}] d5:["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["① ",["$","span","p0-2-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

- 1

"}}],"\n② ",["$","span","p0-2-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

3

"}}],"\n③ ",["$","span","p0-2-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

7

"}}],"\n④ ",["$","span","p0-2-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

11

"}}],"\n⑤ ",["$","span","p0-2-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

15

"}}],""]}] 146:T4c8,

\left( g \circ f \right) \left( 9 \right)

da:["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$146"}}] 147:T61f,

a ^{2} + b ^{2}

dc:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$147"}}] 148:T81a,

\displaystyle i = \sqrt{- 1}

dd:["$","span","p0-0-t0-m11",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$148"}}] df:["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\left( b , 3 \\right)

"}}] e0:["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a + b

"}}] e1:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a

"}}] e2:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{B}} \\mathit{\\left( 5 , 5 \\right)}

"}}] e3:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{AB}}

"}}] e4:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{Q}}

"}}] 149:T676,

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

2025년-03월-고2-수학영역