x ^{2} + x + 1

8c:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$100"}}] 101:T5d9,

x ^{2} + 2 x - 3

8d:["$","span","p0-0-t0-m19",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$101"}}] 8e:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{A}

"}}] 8f:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{B}

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

\\mathrm{P}

"}}] 91:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[["$","img","p0-1-i2",{"src":"https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/570/figure-13929-FZ3GcbVt89BSUBX2ToRMip54CK1SzA.png","alt":"","className":"my-[1em] block max-w-full","style":"$undefined"}]]}] 102:T722,

\displaystyle \mathrm{5} \sqrt{3} m

103:T73f,

\displaystyle \mathrm{10} \sqrt{2} m

92:["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["① ",["$","span","p0-2-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$102"}}],"\n② ",["$","span","p0-2-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{10} m

"}}],"\n③ ",["$","span","p0-2-t0-m5",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$103"}}],"\n④ ","$L104","\n⑤ ","$L105",""]}] 106:T44e,

x + y + z

93:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$106"}}] 94:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

80

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

90

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

100

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

120

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

140

"}}] 9a:["$","tr","t0-1-r1",{"children":[["$","td","t0-1-r1c0",{"rowSpan":"$undefined","colSpan":2,"className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"1px solid #333","borderRight":"none","borderTop":"1px solid #333","borderBottom":"none","backgroundColor":"$undefined"},"children":[]}],["$","td","t0-1-r1c3",{"rowSpan":"$undefined","colSpan":2,"className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"none","borderRight":"1px solid #333","borderTop":"1px solid #333","borderBottom":"none","backgroundColor":"$undefined"},"children":[]}]]}] 107:T4d0,

\alpha \ne \beta

9b:["$","tr","t0-1-r2",{"children":[["$","td","t0-1-r2c0",{"rowSpan":"$undefined","colSpan":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"1px solid #333","borderRight":"none","borderTop":"none","borderBottom":"none","backgroundColor":"$undefined"},"children":[]}],["$","td","t0-1-r2c1",{"rowSpan":"$undefined","colSpan":3,"className":"px-3 py-1.5 align-middle text-left whitespace-pre-wrap","style":{"borderLeft":"none","borderRight":"none","borderTop":"none","borderBottom":"none","backgroundColor":"$undefined"},"children":["ㄱ. ",["$","span","t0-1-r2c1-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\alpha ^{2}

"}}],"이 실수이면 ",["$","span","t0-1-r2c1-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\alpha

"}}],"는 실수이다.\nㄴ. ",["$","span","t0-1-r2c1-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$107"}}],"이면 ",["$","span","t0-1-r2c1-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\alpha < \\beta

"}}]," 또는 ","$L108","이다.\nㄷ. ","$L109","이면 ","$L10a",", ","$L10b","는 실수이다."]}],"$L10c"]}] 9c:["$","tr","t0-1-r3",{"children":[["$","td","t0-1-r3c0",{"rowSpan":"$undefined","colSpan":5,"className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"1px solid #333","borderRight":"1px solid #333","borderTop":"none","borderBottom":"1px solid #333","backgroundColor":"$undefined"},"children":[]}]]}] 9d:["$","p","p2-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["① ㄱ\n② ㄷ\n③ ㄱ, ㄴ\n④ ㄴ, ㄷ\n⑤ ㄱ, ㄴ, ㄷ"]}] 9f:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

n

"}}] a0:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

3

"}}] 10d:T46c,

n ^{2} + 2

a1:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$10d"}}] a2:["$","span","p0-0-t0-m19",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

3

"}}] a3:["$","span","p0-0-t0-m21",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

n

"}}] a4:["$","span","p0-0-t0-m23",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

3

"}}] 10e:T433,

n = 3 k + 1

a5:["$","span","p0-0-t0-m25",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$10e"}}] a6:["$","span","p0-0-t0-m27",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

k

"}}] 10f:Ta5d,

n ^{2} + 2 = ( 3 k + 1 ) ^{2} + 2

a7:["$","span","p0-0-t0-m29",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$10f"}}] a8:["$","span","p0-0-t0-m31",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

=

"}}] 110:T46c,

n ^{2} + 2

111:Taec,

n ^{2} + 2 = 3 ( 3 k ^{2} + 4 k + 2 )

a9:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[" 그러므로 ",["$","span","p0-1-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$110"}}],"는 ",["$","span","p0-1-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

3

"}}],"의 배수이다.\n (ⅱ) ",["$","span","p0-1-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

n =

"}}],"(나)\n (",["$","span","p0-1-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

k

"}}],"는 정수)일 때,\n",["$","span","p0-1-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$111"}}],"\n 그러므로 ","$L112","는 ","$L113","의 배수이다.\n따라서, (ⅰ), (ⅱ)에 의하여 ‘자연수 ","$L114","에 대하여\n","$L115","가 ","$L116","의 배수가 아니면 ","$L117","은 ","$L118","의 배수이다.’\n는 참이다."]}] 119:T586,

( 3 k ^{2} + 2 k )

11a:T5ad,

3 ( 3 k ^{2} + 2 k )

aa:["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["위의 증명에서 (가), (나)에 알맞은 것은? [3점]\n (가)\t (나)\n① ",["$","span","p0-2-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$119"}}],"\t",["$","span","p0-2-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

3 k + 2

"}}],"\n② ",["$","span","p0-2-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$11a"}}],"\t","$L11b","\n③ ","$L11c","\t","$L11d","\n④ ","$L11e","\t","$L11f","\n⑤ ","$L120","\t","$L121",""]}] ad:["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{A}

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

x

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

2

"}}] 122:T77b,

\displaystyle \mathrm{\overline{AB}} = \overline{CD}

b0:["$","span","p0-0-t0-m11",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$122"}}] b1:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[["$","img","p0-1-i2",{"src":"https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/570/image2-jVkyc2Vz9ve9jXD8x1QXfeDJHGJBLh.jpg","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"30cqw"}}]]}] b2:["$","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":"

\\pi

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

2 \\pi

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

3 \\pi

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

4 \\pi

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

5 \\pi

"}}],""]}] b5:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x - 3

"}}] b6:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

1

"}}] b7:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

2

"}}] b8:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

4

"}}] 123:T506,

\displaystyle \frac{1}{4}

b9:["$","span","p0-0-t0-m17",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$123"}}] 124:T506,

\displaystyle \frac{1}{2}

ba:["$","span","p0-0-t0-m19",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$124"}}] 125:T192e,

\displaystyle \mathrm{\overline{O B _{1}}} = \overline{O A _{2}} , \mathrm{\overline{O B _{2}}} = \overline{O A _{3}}

bc:["$","span","p0-0-t0-m11",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$125"}}] bd:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\cdots

"}}] 126:Td36,

\displaystyle \mathrm{\overline{O B _{7}}} = \overline{O A _{8}}

be:["$","span","p0-0-t0-m15",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$126"}}] 127:Tb0b,

\mathrm{A} _{1} , \mathrm{A} _{2} , \cdots , A _{8}

bf:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$127"}}] 128:T42c,

\mathrm{O} A _{8}

c0:["$","span","p0-0-t0-m19",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$128"}}] c1:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[["$","img","p0-1-i2",{"src":"https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/570/image4-wBZ3P3NXosz4Fq1yD9Mgve6r3Pp40O.jpg","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"40cqw"}}]]}] 129:T6b9,

2004년-05월-고1-수학영역