\displaystyle P ( k ) = \frac{k + 1}{k}

98:T4b7,

k = 1 , 2 , 3 , 4

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

P ( x )

"}}]," 가\n\t\t",["$","span","p0-0-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$97"}}],"(",["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$98"}}],")\n을 만족할 때, ","$L99"," 의 값을 구하는 과정이다."]}],"$L9a","$L9b","$L9c"]}] 9d:Ta64,

\displaystyle y = \sqrt{x - p} + q

9e:T7a0,

A = \left\{ ( x , y ) | x = 1 \text{이고} y \geq 1 \right\}

2a:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["좌표평면에서 무리함수 ",["$","span","p0-0-0-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$9d"}}]," 의 그래프가 도형\n",["$","span","p0-0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$9e"}}]," 과 한 점에서 만난다고 한다.\n이 때, 점 ","$L9f"," 가 존재하는 영역을 나타낸 것은? (단, 경계선 포함) [4점]"]}],"$La0"]}] a1:Td88,

A = \left\{ ( x , y ) | x ^{2} + y ^{2} \leq 2 \text{이고} | x | - y \leq 0 \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":["두 집합\n\t",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$a1"}}],"\n\t","$La2","\n에 대하여 ","$La3"," 가 되도록 하는 상수 ","$La4"," 의 최댓값은? [4점]\n① ","$La5","\n② ","$La6","\n③ ","$La7","\n④ ","$La8","\n⑤ ","$La9",""]}]]}] 2c:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["그림과 같이 원점을 중심으로 하는 원 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{O}

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

\\mathrm{T} ( 3 , - 4 )

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

l

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

l

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

\\mathrm{O}

"}}]," 를 굴려서 생긴 원 ",["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{O} _{1}

"}}]," 의 방정식을 ","$Laa"," 라 할 때, ","$Lab"," 의 값은?\n[3점]"]}],"$Lac","$Lad"]}] ae:Tea5,

\displaystyle \frac{x}{a} + \frac{y}{b} = 1 ( a > 0 , b > 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":["좌표평면 위에서 점 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{P} ( 2 , 1 )

"}}]," 을 지나는 직선\n",["$","span","p0-0-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$ae"}}]," 이 ","$Laf"," 축, ","$Lb0"," 축과 만나는 점을 각각 ","$Lb1"," 라 할 때, 삼각형 ","$Lb2"," 의 넓이의 최솟값은?"]}],"$Lb3","$Lb4","$Lb5"]}] b6:T4ef,

X = \left\{ 1 , 2 , 3 \right\}

b7:T463,

f : X \rightarrow X

b8:T649,

f ^{1} ( x ) = f ( x ) ,

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":["집합 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$b6"}}]," 에 대하여 함수 ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$b7"}}],"를 다음과 같이 정의한다."]}],["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[["$","img","p0-1-i2",{"src":"https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/617/image23-n8f2U6zlifeCoz9tmd0enClj50bVnJ.jpg","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"20cqw"}}]]}],["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["",["$","span","p0-2-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$b8"}}]," ","$Lb9"," ","$Lba"," 라 할 때,\n","$Lbb"," 의 값은? [4점]\n① ","$Lbc","\n② ","$Lbd","\n③ ","$Lbe","\n④ ","$Lbf","\n⑤ ","$Lc0",""]}]]}] 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":["어느 렌터카 회사는 가격이 각각 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

1200

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

2000

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

\\mathrm{A}

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

\\mathrm{B}

"}}],"형 승용차를 구입하려고 한다. 승용차를 구입하는 데 사용할 수 있는 금액은 ",["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

3

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

6000

"}}],"만 원이고 주차 공간 문제로 ",["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

26

"}}],"대까지만 구입할 수 있다고 한다. ","$Lc1","형, ","$Lc2","형 승용차로 얻을 수 있는 하루 최대 수익은 한 대당 각각 ","$Lc3"," 만 원, ","$Lc4"," 만 원이라 할 때, 이 회사가 ","$Lc5","형, ","$Lc6","형 승용차를 구입하여 얻을 수 있는 하루 최대 수익은? [4점]\n","$Lc7"]}],"$Lc8"]}] c9:T17ed,

\displaystyle 2 ( a + \sqrt{3} ) - b ( 3 - \sqrt{3} ) = 2 + 8 \sqrt{3}

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":["",["$","span","p0-0-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$c9"}}]," 을 만족하는 유리수 ","$Lca"," 에 대하여 ","$Lcb"," 의 값을 구하시오. [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":["다항식 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

P ( x )

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

P ( x ) - 7

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

x - 1

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

P ( x ) + 3

"}}]," 은 ","$Lcc"," 로 나누어 떨어진다. ","$Lcd"," 를 ","$Lce"," 로 나눈 나머지를 ","$Lcf"," 라 할 때, ","$Ld0"," 의 값을 구하시오. [3점]"]}]]}] d1:T8a2,

x ^{2} + ( a - 4 ) x - 4 = 0

d2:T89a,

x ^{2} + ( a + 4 ) x + 4 = 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":["이차방정식 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$d1"}}]," 의 두 근의 차가 ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

4

"}}]," 일 때, 이차방정식 ",["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$d2"}}]," 의 두 근의 차는 ","$Ld3"," 이다. ","$Ld4"," 의 값을 구하시오. (단, ","$Ld5"," 는 상수이다.) [3점]"]}]]}] d6:T12d0,

\displaystyle f ( x ) = 5 x + 20 , g ( x ) = \begin{cases} 2 x & ( x < 25 ) \\ x + 25 & ( x \geq 25 ) \end{cases}

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":["실수 전체의 집합에서 정의된 두 함수\n\t",["$","span","p0-0-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$d6"}}],"\n에 대하여 ","$Ld7"," 의 값을 구하시오.\n(단, ","$Ld8"," 는 각각 ","$Ld9"," 의 역함수이다.) [3점]"]}]]}] 34:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["다음은 각각 ",["$","span","p0-0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

4

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

\\mathrm{A}

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

\\mathrm{B}

"}}]," 조의 점수를 나타낸 것이다."]}],["$","div","t0-1",{"className":"mb-[1.2em] overflow-x-auto","children":["$","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":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"1px solid #333","borderRight":"1px solid #333","borderTop":"1px solid #333","borderBottom":"1px solid #333","backgroundColor":"$undefined"},"children":["",["$","span","t0-1-r0c0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{A}

"}}]," 조"]}],["$","td","t0-1-r0c1",{"rowSpan":"$undefined","colSpan":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"1px solid #333","borderRight":"1px solid #333","borderTop":"1px solid #333","borderBottom":"1px solid #333","backgroundColor":"$undefined"},"children":["",["$","span","t0-1-r0c1-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a

"}}]," ",["$","span","t0-1-r0c1-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

20

"}}]," ","$Lda"," ","$Ldb",""]}]]}],"$Ldc"]}]}]}],"$Ldd"]}] de:T515,

\displaystyle \mathrm{\overline{AB}} = 5

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

R

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

\\mathrm{O}

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

\\mathrm{ABC}

"}}]," 가 있다."]}],["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[["$","img","p0-1-i2",{"src":"https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/617/image27-Rls3EQ3O1NlYW3KLvOY0HTctXgkV57.jpg","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"14cqw"}}]]}],["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["",["$","span","p0-2-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$de"}}],", ","$Ldf",", ","$Le0","일 때, ","$Le1"," 의 값을 구하시오. [4점]"]}]]}] 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 직사각형 모양의 액자를 만드는데 가장자리의 위아래에는 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{8} cm

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

\\mathrm{4} cm

"}}]," 의 여백을 두고 가운데 부분에 사진을 넣으려 한다. 액자 둘레의 길이가 ",["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{224} cm

"}}]," 일 때, 사진의 넓이를 최대로 하는 액자의 짧은 변의 길이를 구하시오. (단, 단위는 ",["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{cm}

"}}]," 이다.) [4점]"]}],["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[["$","img","p0-1-i2",{"src":"https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/617/image28-MC0OLYtk1q2f6Yp1xslFTykwr8bYzI.jpg","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"30cqw"}}]]}]]}]

2007년-03월-고2-수학영역