x + y + 2 z \ne 0

79:["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$129"}}] 12a:T509,

\displaystyle \frac{17}{4}

7a:["$","span","p0-0-t0-m7",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$12a"}}] 12b:T506,

\displaystyle \frac{9}{2}

7b:["$","span","p0-0-t0-m9",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$12b"}}] 12c:T509,

\displaystyle \frac{19}{4}

7c:["$","span","p0-0-t0-m11",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$12c"}}] 7d:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

5

"}}] 12d:T509,

\displaystyle \frac{21}{4}

7e:["$","span","p0-0-t0-m15",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$12d"}}] 12e:T41d,

\displaystyle z \overline{z}

80:["$","span","p0-0-t0-m5",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$12e"}}] 12f:T81a,

\displaystyle i = \sqrt{- 1}

81:["$","span","p0-0-t0-m7",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$12f"}}] 82:["$","span","p0-0-t0-m9",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"

\\displaystyle \\overline{z}

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

z

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

2

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

5

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

8

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

10

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

13

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

10

"}}] 8a:["$","span","p0-2-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

20

"}}] 8e:["$","span","p0-0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{ABCD}

"}}] 8f:["$","span","p0-0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{ABFE}

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

\\mathrm{AD}

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

\\mathrm{BC}

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

\\mathrm{E}

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

\\mathrm{F}

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

\\mathrm{ABCD}

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

\\mathrm{FCDE}

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

\\mathrm{GFCH}

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

\\mathrm{EF}

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

\\mathrm{DC}

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

\\mathrm{G}

"}}] 9a:["$","span","p0-0-0-t0-m31",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{H}

"}}] 9b:["$","span","p0-0-0-t0-m33",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{EGJI}

"}}] 9c:["$","span","p0-0-0-t0-m35",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{ED}

"}}] 9d:["$","span","p0-0-0-t0-m37",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{GH}

"}}] 9e:["$","span","p0-0-0-t0-m39",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{I}

"}}] 9f:["$","span","p0-0-0-t0-m41",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{J}

"}}] a0:["$","p","p0-0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[["$","img","p0-0-1-i2",{"src":"https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/675/image4-Ku6RMB4OGISZ9LHwqiAFvXXIM8OX1H.jpg","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"28cqw"}}]]}] 130:Ta5d,

\displaystyle \frac{1}{x} = \frac{x}{1 - x}

a1:["$","div","t0-1",{"className":"mb-[1.2em] overflow-x-auto","children":["$","table",null,{"className":"w-auto border-collapse text-[15px]","children":["$","tbody",null,{"children":[["$","tr","t0-1-r0",{"children":[["$","td","t0-1-r0c0",{"rowSpan":"$undefined","colSpan":2,"className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"none","borderRight":"none","borderTop":"none","borderBottom":"1px solid #333","backgroundColor":"$undefined"},"children":[]}],["$","td","t0-1-r0c2",{"rowSpan":2,"colSpan":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"none","borderRight":"none","borderTop":"none","borderBottom":"none","backgroundColor":"$undefined"},"children":["<보 기>"]}],["$","td","t0-1-r0c3",{"rowSpan":"$undefined","colSpan":2,"className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"none","borderRight":"none","borderTop":"none","borderBottom":"1px solid #333","backgroundColor":"$undefined"},"children":[]}]]}],["$","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":[]}]]}],["$","tr","t0-1-r2",{"children":[["$","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":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$130"}}],"\nㄴ. ","$L131","\nㄷ. 선분 ","$L132","의 길이는 ","$L133","이다."]}],"$L134"]}],"$L135"]}]}]}] a2:["$","p","p2-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["① ㄱ\n② ㄱ, ㄴ\n③ ㄱ, ㄷ\n④ ㄴ, ㄷ\n⑤ ㄱ, ㄴ, ㄷ"]}] a3:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{G}

"}}] a4:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{H}

"}}] a5:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{AEPH}

"}}] a6:["$","span","p0-0-t0-m19",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{EBFP}

"}}] a7:["$","span","p0-0-t0-m21",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{PFCG}

"}}] a8:["$","span","p0-0-t0-m23",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{HPGD}

"}}] 136:T405,

S _{1}

a9:["$","span","p0-0-t0-m25",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$136"}}] 137:T405,

S _{2}

aa:["$","span","p0-0-t0-m27",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$137"}}] 138:T405,

S _{3}

ab:["$","span","p0-0-t0-m29",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$138"}}] 139:T405,

S _{4}

ac:["$","span","p0-0-t0-m31",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$139"}}] 13a:Tee8,

S _{1} + S _{2} + S _{3} + S _{4}

ad:["$","span","p0-0-t0-m33",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$13a"}}] ae:["$","span","p0-0-t0-m35",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{O}

"}}] af:["$","img","p0-0-i2",{"src":"https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/675/image5-tbjijLcD0gVUDtBkPgdiwXMyWSmZEy.jpg","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"17cqw"}}] 13b:T525,

\displaystyle \mathrm{\overline{AH}} = \mathit{x}

13c:T53d,

\displaystyle \mathrm{\overline{HD}} = \mathit{y}

13d:T525,

\displaystyle \mathrm{\overline{DG}} = \mathit{u}

b0:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["<증명>\n",["$","span","p0-1-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$13b"}}],", ",["$","span","p0-1-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$13c"}}],", ",["$","span","p0-1-t0-m5",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$13d"}}],", ","$L13e","라 하면 ","$L13f"," 이다.\n또, ","$L140","(가)\n","$L141","이고 원 ","$L142","의 넓이는 (나)\n","$L143","이다.\n한편 ","$L144","(다)\n","$L145","\n ","$L146","","$L147","\n이므로 ","$L148","의 값은 원 ","$L149","의 넓이보다 크거나 같다."]}] b1:["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["위의 증명에서 (가), (나), (다)에 알맞은 값을 모두 더하면? [4점]\n① ",["$","span","p0-2-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

4

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

6

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

\\pi + 1

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

\\pi + 2

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

2 \\pi + 2

"}}],""]}] b4:["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x

"}}] b5:["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a

"}}] b6:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

b

"}}] b7:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a + b

"}}] b8:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

- 26

"}}] b9:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

- 24

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

- 22

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

- 20

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

- 18

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

g ( x )

"}}] 14a:Tfe0,

g ( x ) = x ^{2} + ( m + n - mn ) x - m ^{2} n - mn ^{2}

bf:["$","span","p0-0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$14a"}}] 14b:T46c,

m \ne n

c0:["$","span","p0-0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$14b"}}] 14c:T462,

f ( m ) = f ( n )

2011년-06월-고1-수학영역