\displaystyle x \geq - \frac{1}{2}

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

f \\left( x \\right)

"}}],"가 다음 조건을 만족시킬 때, ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

f \\left( 0 \\right)

"}}],"의 값은? [4점]"]}],["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["(가) ",["$","span","p0-1-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$9d"}}],"인 모든 실수 ","$L9e","에 대하여\n","$L9f","\n이다. (단, ","$La0","와 ","$La1","는 상수이다.)\n(나) ","$La2",""]}],"$La3"]}] a4:T5da,

\displaystyle \sin \frac{n}{5} \pi

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

n \\left( n \\geq 2 \\right)

"}}],"에 대하여 ",["$","span","p0-0-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$a4"}}],"의 ",["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

n

"}}],"제곱근 중 실수인 것의 개수를 ","$La5","이라 할 때, ","$La6","의 값은? [4점]\n① ","$La7","\n② ","$La8","\n③ ","$La9","\n④ ","$Laa","\n⑤ ","$Lab",""]}]]}] ac:T120b,

\displaystyle \log _{n} 4 \times \left( \frac{4}{\log _{m} 2} + \log _{2} n \right) = 8

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

\\mathrm{1}

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

\\mathrm{100}

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

m

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

n

"}}],"이\n\t",["$","span","p0-0-t0-m9",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$ac"}}],"\n을 만족시킬 때, ","$Lad","의 최댓값은? [4점]\n① ","$Lae","\n② ","$Laf","\n③ ","$Lb0","\n④ ","$Lb1","\n⑤ ","$Lb2",""]}]]}] b3:T94a,

f \left( x \right) = \cos ^{2} x - \sin x - 1

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

a > \\pi

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

a

"}}],"에 대하여 함수\n\t\t",["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$b3"}}],"\n이 구간 ","$Lb4","에서 최솟값을 갖도록 하는 ","$Lb5","의 최솟값을 ","$Lb6","라 하자. 구간 ","$Lb7","에서 함수 ","$Lb8","의 최댓값을 ","$Lb9","이라 할 때, ","$Lba","의 값은? [4점]\n① ","$Lbb","\n② ","$Lbc","\n③ ","$Lbd","\n④ ","$Lbe","\n⑤ ","$Lbf",""]}]]}] c0:T601,

y = a ^{x} + k

c1:T44b,

y = 3 x + 2

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

\\mathrm{1}

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

a

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

k

"}}],"에 대하여 곡선 ",["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$c0"}}],"와 직선 ",["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$c1"}}],"가 서로 다른 두 점 ","$Lc2",", ","$Lc3","에서 만난다. 점 ","$Lc4","를 지나고 기울기가 ","$Lc5","인 직선이 곡선 ","$Lc6","와 만나는 점을 ","$Lc7",", 직선 ","$Lc8","가 ","$Lc9","축과 만나는 점을 ","$Lca","라 하자.\n","$Lcb","이고 ","$Lcc","일 때, ","$Lcd","의 값은? (단, 점 ","$Lce","의 ","$Lcf","좌표는 점 ","$Ld0","의 ","$Ld1","좌표보다 크다.) [4점]"]}],"$Ld2","$Ld3"]}] d4:T54b,

\displaystyle \overline{{\mathrm{AB}}} = 2

d5:T54b,

\displaystyle \overline{{\mathrm{BC}}} = 4

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":["그림과 같이 ",["$","span","p0-0-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$d4"}}],", ",["$","span","p0-0-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$d5"}}],"인 삼각형 ",["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{ABC}

"}}],"가 있다. 선분 ","$Ld6"," 위의 점 ","$Ld7","에 대하여 세 점 ","$Ld8",", ","$Ld9",", ","$Lda","를 지나는 원을 ","$Ldb","라 하고, 원 ","$Ldc","가 선분 ","$Ldd","와 만나는 점 중 ","$Lde","가 아닌 점을 ","$Ldf","라 하자. 점 ","$Le0","를 포함하지 않는 두 호 ","$Le1",", ","$Le2","의 길이가 같고 ","$Le3","일 때, 원 ","$Le4","의 넓이는? (단, ","$Le5","이고, 점 ","$Le6","는 점 ","$Le7","도 아니고 점 ","$Le8","도 아니다.) [4점]"]}],"$Le9","$Lea"]}] eb:T2016,

\displaystyle f \left( x \right) = {\begin{cases} \left( x - 1 \right) \left( x - a \right) & & \left( x < 1 \right) \\ 0 & & \left( 1 \leq x < 2 \right) \\ 1 & & \left( x \geq 2 \right) \end{cases}}

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

a

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

f \\left( x \\right)

"}}],"를\n\t",["$","span","p0-0-0-t0-m5",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$eb"}}],"\n라 하자. 양의 실수 ","$Lec","에 대하여 함수 ","$Led","에서 ","$Lee","의 값이 ","$Lef","에서 ","$Lf0","까지 변할 때의 평균변화율을 ","$Lf1","라 할 때, <보기>에서 옳은 것만을 있는 대로 고른 것은? [4점]"]}],"$Lf2","$Lf3"]}] f4:T4b4,

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

f5:T2867,

\displaystyle a _{n + 1} = {\begin{cases} \frac{1}{2} a _{n} & & \left( a _{n} \geq 1 \right) \\ \frac{1}{2} \left( a _{n} + a _{1} \right) & & \left( a _{n} < 1 \right) \end{cases}}

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

\\mathrm{2}

"}}]," 이상인 수열 ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$f4"}}],"이 모든 자연수 ",["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

n

"}}],"에 대하여\n\t",["$","span","p0-0-t0-m7",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$f5"}}],"\n을 만족시킬 때, ","$Lf6","가 되도록 하는 모든 ","$Lf7","의 값의 합은? [4점]\n① ","$Lf8","\n② ","$Lf9","\n③ ","$Lfa","\n④ ","$Lfb","\n⑤ ","$Lfc",""]}]]}] fd:Tb22,

\displaystyle \left( \sqrt{3} \right) ^{x - 2} = 27

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":["방정식 ",["$","span","p0-0-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$fd"}}],"을 만족시키는 실수 ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x

"}}],"의 값을 구하시오.\n[3점]"]}]]}] 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":["반지름의 길이가 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{8}

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

28 \\pi

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

a \\pi

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

a

"}}],"의 값을 구하시오. [3점]"]}]]}] fe:T18f3,

\displaystyle \lim\limits _{x \rightarrow \infty} \frac{f \left( x \right) - 2 x ^{3}}{x ^{2}} = \lim\limits _{x \rightarrow 0} \frac{f \left( x \right)}{x} = 3

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

f \\left( x \\right)

"}}],"에 대하여\n\t",["$","span","p0-0-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$fe"}}],"\n일 때, ","$Lff","의 값을 구하시오. [3점]"]}]]}] 100:Ta76,

2024년-10월-고2-수학영역