\displaystyle \frac{1 + 2 i}{1 - 2 i}

2b:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["복소수 ",["$","span","p0-0-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$90"}}],"의 덧셈에 대한 역원을 ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\alpha

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

\\beta

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

\\alpha + \\beta

"}}],"의 값은? (단, ","$L91"," ) [3점]\n① ","$L92","\n② ","$L93","\n③ ","$L94","\n④ ","$L95","\n⑤ ","$L96",""]}]]}] 97:Ta45,

\displaystyle \overline{AC} = 4 \sqrt{3}

2c:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["그림에서 삼각형 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

ABC

"}}],"는 ",["$","span","p0-0-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$97"}}],", ","$L98",", ","$L99","이고, 변 ","$L9a","는 정사각형 ","$L9b","의 한 변이며 부채꼴 ","$L9c","의 반지름이다. 이 때 어두운 부분의 둘레의 길이는? [4점]"]}],"$L9d","$L9e"]}] 2d:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["표는 ",["$","span","p0-0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

A

"}}],"반 20명의 수학 점수를 나타낸 도수분포표이다. 점수가 80점 이상 90점 미만인 학생 2명이 다른 반으로 옮겼다. 반의 옮기기 전 20명의 평균을 ",["$","span","p0-0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

M

"}}],", 옮긴 후 18명의 평균을 ",["$","span","p0-0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

N

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

M - N

"}}],"의 값은? [4점]"]}],["$","div","t0-1",{"className":"mb-[1.2em] overflow-x-auto","children":["$","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":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"none","borderRight":"1px solid #333","borderTop":"1px solid #333","borderBottom":"1px solid #333","backgroundColor":"$undefined"},"children":["계급(점)"]}],["$","td","t0-1-r0c1",{"rowSpan":"$undefined","colSpan":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"1px solid #333","borderRight":"none","borderTop":"1px solid #333","borderBottom":"1px solid #333","backgroundColor":"$undefined"},"children":["도수(명) "]}]]}],["$","tr","t0-1-r1",{"children":[["$","td","t0-1-r1c0",{"rowSpan":"$undefined","colSpan":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"none","borderRight":"1px solid #333","borderTop":"1px solid #333","borderBottom":"1px solid #333","backgroundColor":"$undefined"},"children":["","$L9f"," ~ ","$La0",""]}],"$La1"]}],"$La2","$La3","$La4","$La5"]}]}]}],"$La6"]}] 2e:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["두 조건 ",["$","span","p0-0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

p , q

"}}],"에 대하여 ",["$","span","p0-0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

p

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

q

"}}],"이기 위한 필요충분조건인 것을 <보기>에서 모두 고르면? (단, ",["$","span","p0-0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x , y

"}}],"는 실수이다.) [4점]"]}],["$","div","t0-1",{"className":"mb-[1.2em] overflow-x-auto","children":["$","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":"$undefined"},"children":[]}]]}],"$La7","$La8","$La9"]}]}]}],"$Laa"]}] ab:Te67,

\displaystyle \overline{AC} = 6 \sqrt{3} , \overline{BC} = 6

2f:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["그림과 같이 선분 ",["$","span","p0-0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

AB

"}}],"를 지름으로 하는 원에 내접하는 삼각형 ",["$","span","p0-0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

ABC

"}}],"가 있다. ",["$","span","p0-0-0-t0-m5",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$ab"}}],"이고, 점 ","$Lac","를 접점으로 하는 접선이 ","$Lad","의 연장선과 점 ","$Lae","에서 만난다. 이 때 옳은 것을 <보기>에서 모두 고르면? [4점]"]}],"$Laf","$Lb0","$Lb1"]}] 30:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["다음은 어느 학교 교표의 의미와 그림해설의 일부분이다."]}],["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["<교표의 의미>\n∘ 두 개의 작은 원은 미래를 바라보는 지혜의 눈을 상징한다.\n∘ 일부분이 겹쳐진 똑같은 두 개의 반원은 목표를 향하는 독수리의 부리를 상징한다.\n<교표의 그림해설>\n1) 그림과 같이 지름의 길이가 ",["$","span","p0-1-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

5

"}}],"인 두 반원의 지름의 끝이 점 ",["$","span","p0-1-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

A

"}}],"에서 만난다.\n2) 선분 ",["$","span","p0-1-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

BD

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

CF

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

3

"}}],"이다.\n⋮"]}],["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[["$","img","p0-2-i2",{"src":"https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/634/image14-CGC7RxNXUN2fmobldsJRmG6X3eEpaC.png","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"26cqw"}}]]}],["$","p","p0-3",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["이 그림에서 현 ","$Lb2","의 길이는? [4점]\n① ","$Lb3","\n② ","$Lb4","\n③ ","$Lb5","\n④ ","$Lb6","\n⑤ ","$Lb7",""]}]]}] b8:T67b,

a \circ b = a + b - ab

31:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["실수 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a , b

"}}],"에 대하여 연산 ∘을 ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$b8"}}],"로 정의할 때, 연산 ∘에 대한 ",["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

2

"}}],"의 역원을 구하시오. [2점]"]}]]}] b9:T79c,

y = - 2 x ^{2} + ax + b

32:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["이차함수 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$b9"}}],"의 축의 방정식이 ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x = 1

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

3

"}}],"이다. 이 때 상수 ","$Lba","에 대하여 ","$Lbb","의 값을 구하시오.\n[3점]"]}]]}] bc:T981,

X \circledcirc Y = ( X \cup Y ) - ( X \cap Y )

33:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["두 집합 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

X

"}}],", ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

Y

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

X \\circledcirc Y

"}}],"를\n\t\t",["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$bc"}}],"\n라고 정의한다. 자연수 전체 집합의 두 부분집합 ","$Lbd","에 대하여 ","$Lbe","일 때, ","$Lbf","을 만족하는 집합 ","$Lc0","의 모든 원소의 합을 구하시오. [3점]"]}]]}] c1:T722,

2 x ^{2} - 8 x - 1 = 0

c2:T95a,

\displaystyle x = a \pm b \sqrt{2}

34:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["이차방정식 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$c1"}}],"의 두 근은 ",["$","span","p0-0-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$c2"}}],"이다. 이 때, 유리수 ","$Lc3","에 대하여 ","$Lc4","의 값을 구하시오. [3점]"]}]]}] c5:T8f4,

x ^{3} + ax ^{2} + 3 x - 1

35:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["다음은 다항식 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$c5"}}],"을 ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x - 1

"}}],"로 나눈 것이다. 이 때 상수 ","$Lc6","에 대하여 ","$Lc7","의 값을 구하시오. [3점]"]}],"$Lc8"]}] c9:T4b3,

ABCD - EFGH

ca:T40c,

\displaystyle \overline{AE}

cb:T40c,

\displaystyle \overline{CG}

36:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["그림과 같이 한 모서리의 길이가 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

2

"}}],"인 정육면체\n",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$c9"}}],"에서 ",["$","span","p0-0-t0-m5",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$ca"}}],", ",["$","span","p0-0-t0-m7",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$cb"}}],"의 중점을 각각 ","$Lcc",", ","$Lcd","이라 하자. 사각형 ","$Lce","의 넓이를 ","$Lcf","라 할 때, ","$Ld0","의 값을 구하시오. [4점]"]}],"$Ld1"]}] d2:T814,

A = \left\{ 5 l + 4 | l = 1 , 2 , 3 , \cdots \right\}

d3:T7f9,

B = \left\{ 6 m - 2 | m = 1 , 2 , 3 , \cdots \right\}

37:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["두 집합\n\t",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$d2"}}],",\n\t",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$d3"}}],"\n가 있다. 이 때, 집합 ","$Ld4","의 원소 중에서 가장 작은 수와 두 번째로 작은 수의 합을 구하시오. [4점]"]}]]}] d5:T7e9,

f ( x ) = x ^{2} + ax + b

d6:T7e3,

g ( x ) = x ^{2} - 3 x + c

38:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["다항식 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$d5"}}],", ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$d6"}}],"에 대하여 두 집합 ","$Ld7",", ","$Ld8","이다.\n","$Ld9",", ","$Lda","일 때, 상수 ","$Ldb","에 대하여\n","$Ldc","의 값을 구하시오. [4점]"]}]]}] 39:["$","div",null,{"data-print":"hide","className":"my-7 flex min-h-[90px] items-center justify-center rounded-card border border-dashed border-line bg-soft text-[13px] text-adtext","aria-hidden":"true","children":"광고 영역 (묶음 하단)"}]

2008년-05월-고1-수학영역