y = x ^{2} - \left( a + 1 \right) x + a

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":["두 실수 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a \\left( a > 2 \\right)

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

b

"}}],"에 대하여 이차함수\n",["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$b5"}}],"의 그래프와 직선 ","$Lb6","가 한 점 ","$Lb7","에서만 만난다. 함수 ","$Lb8","의 그래프가 ","$Lb9","축과 만나는 점 중 ","$Lba","가 아닌 점을 ","$Lbb",", 함수 ","$Lbc","의 그래프가 ","$Lbd","축과 만나는 점을 ","$Lbe",", 직선 ","$Lbf","가 ","$Lc0","축과 만나는 점을 ","$Lc1","라 하자. 다음은 삼각형 ","$Lc2","의 넓이를 ","$Lc3",", 사각형 ","$Lc4","의 넓이를 ","$Lc5","라 할 때, ","$Lc6","이 되도록 하는 ","$Lc7","의 값을 구하는 과정이다. (단, ","$Lc8","는 원점이다.) [4점]"]}],"$Lc9","$Lca","$Lcb"]}] cc:T470,

x ^{2} - 1

cd:T50e,

\left( x + 1 \right) P \left( x \right)

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":["최고차항의 계수가 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

1

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

P \\left( x \\right)

"}}],"를 ",["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$cc"}}],"로 나눈 몫과 나머지는 서로 같다. ",["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$cd"}}],"가 ","$Lce","로 나누어떨어질 때, ","$Lcf","의 값은? [4점]\n① ","$Ld0","\n② ","$Ld1","\n③ ","$Ld2","\n④ ","$Ld3","\n⑤ ","$Ld4",""]}]]}] d5:Ta88,

\displaystyle \begin{cases} \left| ax - 1 \right| < 21 \\ 2 x + 3 > 5 \end{cases}

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 연립부등식\n\t\t",["$","span","p0-0-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$d5"}}],"\n를 만족시키는 자연수 ","$Ld6","의 개수가 ","$Ld7","일 때, 모든 정수 ","$Ld8","의 값의 합은? [4점]\n① ","$Ld9","\n② ","$Lda","\n③ ","$Ldb","\n④ ","$Ldc","\n⑤ ","$Ldd",""]}]]}] de:T9c9,

P \left( x \right) = x ^{2} - ax + 7 - a

df:T1860,

\displaystyle \sqrt{P \left( 1 \right)} + \sqrt{- P \left( 1 \right)} - \sqrt{P \left( 0 \right) - 4}

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":["이차다항식 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$de"}}],"에 대하여\n\t",["$","span","p0-0-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$df"}}],"\n의 값이 실수일 때, 모든 ","$Le0","의 값의 합은?\n(단, ","$Le1","는 실수이다.) [4점]\n① ","$Le2","\n② ","$Le3","\n③ ","$Le4","\n④ ","$Le5","\n⑤ ","$Le6",""]}]]}] e7:T1713,

\displaystyle \begin{cases} ax ^{2} + \left( a + b \right) x + a + b + 1 < 0 \\ \left( a + b \right) x ^{2} + \left( a + b + 1 \right) x + a < 0 \end{cases}

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":["",["$","span","p0-0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x

"}}],"에 대한 연립부등식\n\t",["$","span","p0-0-0-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$e7"}}],"\n을 만족시키는 모든 ","$Le8","의 값의 범위가 ","$Le9","일 때, 옳은 것만을 <보기>에서 있는 대로 고른 것은? (단, ","$Lea",", ","$Leb",", ","$Lec","는 실수이다.) [4점]"]}],"$Led","$Lee"]}] ef:T506,

\displaystyle \frac{1}{2}

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":["실수 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

k

"}}],"와 최고차항의 계수가 ",["$","span","p0-0-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$ef"}}],"인 이차함수 ",["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

f \\left( x \\right)

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

x

"}}],"에 대한 방정식 ","$Lf0","가 서로 다른 두 자연수 ","$Lf1",", ","$Lf2","를 근으로 가질 때, 함수 ","$Lf3","는 다음 조건을 만족시킨다."]}],"$Lf4","$Lf5"]}] f6:Td30,

x ^{2} + \left( a + 1 \right) x + 8 = x ^{2} + 10 x + b

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":["등식\n\t",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$f6"}}],"\n가 모든 실수 ","$Lf7","에 대하여 항상 성립할 때, ","$Lf8","의 값을 구하시오. (단, ","$Lf9",", ","$Lfa","는 상수이다.) [3점]"]}]]}] fb:Tbbf,

x ^{4} - 2 x ^{3} - x ^{2} + 2 x = 0

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":["사차방정식\n\t\t",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$fb"}}],"\n의 모든 양의 실근의 합을 구하시오. [3점]"]}]]}] fc:T7b3,

\displaystyle k - \frac{3}{k} = 6

fd:T9e8,

\displaystyle k ^{3} - \frac{27}{k ^{3}}

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":["",["$","span","p0-0-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$fc"}}],"일 때, ",["$","span","p0-0-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$fd"}}],"의 값을 구하시오. [3점]"]}]]}] fe:T2d7d,

\displaystyle \frac{\sqrt{- 4 a}}{\sqrt{a} \sqrt{- 4}} - \frac{\sqrt{- 32} \sqrt{4 a}}{\sqrt{2} \sqrt{- a}}

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":["",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a

"}}],"가 음수일 때, ",["$","span","p0-0-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$fe"}}],"의 값을 구하시오.\n[3점]"]}]]}] ff:Tb33,

2 x + 1 \leq 2 x + a \leq x ^{2} - 2 x + 24

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":["",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x

"}}],"에 대한 부등식\n\t",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$ff"}}],"\n의 해가 모든 실수가 되도록 하는 ","$L100","의 최댓값과 최솟값의 합을 구하시오. (단, ","$L101","는 실수이다.) [4점]"]}]]}] 102:T432,

- 2 \leq x \leq 2

103:T8e9,

f \left( x \right) = \left( x - a \right) ^{2} + 2 b

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":["두 자연수 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a

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

b

"}}],"에 대하여 ",["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$102"}}],"에서 이차함수\n",["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$103"}}],"의 최댓값을 ","$L104",", 최솟값을 ","$L105","이라 하자.\n","$L106","이고 ","$L107","를 만족시키는 모든 순서쌍 ","$L108","의 개수를 구하시오. [4점]"]}]]}]

2025년-06월-고1-수학영역