f \left( x \right) = x ^{2} - px

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

p > 1

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

p

"}}],"에 대하여 함수 ",["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$92"}}],"가 있다.\n실수 ","$L93","에 대하여 함수 ","$L94","의 그래프와 직선 ","$L95","가 만나는 점의 ","$L96","좌표 중 가장 작은 값을 ","$L97",", 가장 큰 값을 ","$L98","라 하자. 열린구간 ","$L99","에서 정의된 함수\n\t","$L9a","\n의 최댓값이 ","$L9b","일 때, ","$L9c","의 값은? [4점]\n① ","$L9d","\n② ","$L9e","\n③ ","$L9f","\n④ ","$La0","\n⑤ ","$La1",""]}]]}] a2:T55b,

\displaystyle \frac{3}{4} \pi

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

8

"}}],"이고 중심각의 크기가 ",["$","span","p0-0-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$a2"}}],"인 부채꼴의 넓이는 ",["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a \\pi

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

a

"}}],"의 값을 구하시오. [3점]"]}]]}] a3:T4b4,

\left\{ a _{n} \right\}

a4:T15aa,

\displaystyle \sum\limits _{k = 1} ^{7} a _{2 k} = \sum\limits _{k = 1} ^{7} \left( k ^{2} - a _{2 k - 1} \right)

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":["수열 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$a3"}}],"에 대하여 ",["$","span","p0-0-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$a4"}}],"일 때, ","$La5","의 값을 구하시오. [3점]"]}]]}] a6:T1139,

\displaystyle \log _{2} \left( x - 4 \right) = \log _{\frac{1}{2}} \left( x - 6 \right) + 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":["방정식\n\t",["$","span","p0-0-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$a6"}}],"\n을 만족시키는 실수 ","$La7","의 값을 구하시오. [3점]"]}]]}] a8:Taad,

x ^{3} - 3 ax ^{2} + 40 a ^{2} = 0

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

x

"}}],"에 대한 방정식 ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$a8"}}],"의 서로 다른 양의 실근의 개수가 ","$La9","일 때, 양수 ","$Laa","의 값을 구하시오. [3점]"]}]]}] ab:T4b4,

\left\{ a _{n} \right\}

ac:T4b4,

\left\{ b _{n} \right\}

ad:T8df,

\displaystyle \sum\limits _{k = 1} ^{10} b _{k}

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

8

"}}],"인 등차수열 ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$ab"}}],"에 대하여 수열 ",["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$ac"}}],"이 다음 조건을 만족시킬 때, ",["$","span","p0-0-t0-m7",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$ad"}}],"의 값을 구하시오. [4점]"]}],"$Lae"]}] af:T417,

f \left( 0 \right) = 0

b0:T585,

k \left( k \neq 0 \right)

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

1

"}}],"이고 ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$af"}}],"인 삼차함수 ",["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

f \\left( x \\right)

"}}],"가 있다. 양수 ",["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

p

"}}],"와 실수 ",["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$b0"}}],"에 대하여 함수\n\t","$Lb1","\n가 다음 조건을 만족시킨다."]}],"$Lb2","$Lb3"]}] b4:T65f,

y = 2 ^{x + 1} + k

b5:T8c3,

y = \log _{2} \left( x - k \right) + 1

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":["다음 조건을 만족시키는 곡선 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$b4"}}]," 위의 서로 다른 두 점 ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{A}}

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

{\\mathrm{B}}

"}}],"와 곡선 ",["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$b5"}}]," 위의 점 ","$Lb6","가 존재하도록 하는 모든 실수 ","$Lb7","의 값의 합을 ","$Lb8","라 하자."]}],"$Lb9","$Lba"]}] 31:["$","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)"}]

2026년-05월-고3-수학문제(공통)