x ^{3} - 1 = 0

27:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["방정식 ",["$","span","p0-0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$a2"}}],"의 한 허근을 ",["$","span","p0-0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\omega

"}}],"라 할때, 옳은 것만을 <보기>에서 있는대로 고른 것은? [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":"$undefined"},"children":[]}]]}],["$","tr","t0-1-r1",{"children":[["$","td","t0-1-r1c0",{"rowSpan":"$undefined","colSpan":2,"className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"1px solid #333","borderRight":"none","borderTop":"1px solid #333","borderBottom":"none","backgroundColor":"$undefined"},"children":[]}],["$","td","t0-1-r1c3",{"rowSpan":"$undefined","colSpan":2,"className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"none","borderRight":"1px solid #333","borderTop":"1px solid #333","borderBottom":"none","backgroundColor":"$undefined"},"children":[]}]]}],"$La3","$La4"]}]}]}],"$La5"]}] a6:T1e1d,

\displaystyle {\begin{cases} x ^{2} + y ^{2} - 9 \leq 0 & \\ \left( \sqrt{3} - y \right) \left( \sqrt{3} x + y \right) \leq 0 & \end{cases}}

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":["연립부등식 ",["$","span","p0-0-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$a6"}}],"을 만족시키는 점 ","$La7","가 좌표평면 위에 나타내는 영역의 넓이는? [4점]\n① ","$La8","\n② ","$La9","\n③ ","$Laa","\n④ ","$Lab","\n⑤ ","$Lac",""]}]]}] ad:T1506,

\displaystyle \frac{a}{b + c} + \frac{b}{c + a} + \frac{c}{a + b} \geq \frac{3}{2}

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

a

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

b

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

c

"}}],"에 대하여 부등식\n\t",["$","span","p0-0-0-t0-m7",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$ad"}}],"\n이 성립함을 증명한 것이다.\n<증명>\n","$Lae",", ","$Laf",", ","$Lb0","라 하면\n","$Lb1","이므로\n","$Lb2",", ","$Lb3",", ","$Lb4","이다.\n그러므로\n","$Lb5","\n","$Lb6","\n","$Lb7","\n","$Lb8","\n따라서 세 양수 ","$Lb9",", ","$Lba",", ","$Lbb","에 대하여 주어진 부등식이 성립한다."]}],"$Lbc","$Lbd"]}] 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":["그림과 같이 길이가 각각 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

120 m

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

200 m

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

A

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

B

"}}]," 두 산책로가 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/668/image3-EL3yKMu2FOBFaOO8PTbSUrutQK6Xl4.png","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"46cqw"}}]]}],["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["철수와 영희는 다음과 같은 방법으로 걷기로 하였다.\n◦ 철수는 ",["$","span","p0-2-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{A}}

"}}],"산책로를, 영희는 ",["$","span","p0-2-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{B}}

"}}],"산책로를 일정한 속력으로 걷는다.\n◦ ","$Lbe","지점에서 동시에 출발하여 각각 화살표 방향으로 걷는다.\n◦ 영희가 걷는 속력은 철수가 걷는 속력보다 ","$Lbf","배 빠르다."]}],"$Lc0"]}] c1:T464,

y = f \left( x \right)

c2:T424,

y = 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":["이차항이 계수가 음수인 이차함수 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$c1"}}],"의 그래프와 직선 ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$c2"}}],"이 두 점에서 만나고 그 교점의 ",["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

y

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

3

"}}],"과 ","$Lc3","이다. 이 때, 이차부등식 ","$Lc4","을 만족시키는 모든 정수 ","$Lc5","의 값의 합은? [4점]\n① ","$Lc6","\n② ","$Lc7","\n③ ","$Lc8","\n④ ","$Lc9","\n⑤ ","$Lca",""]}]]}] cb:T730,

f \left( 3 - x \right) = f \left( 3 + x \right)

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

f \\left( x \\right)

"}}],"는 다음 두 조건을 만족시킨다.\n(가) 모든 실수 ",["$","span","p0-0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x

"}}],"에 대하여 ",["$","span","p0-0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$cb"}}],"이다.\n(나) ","$Lcc","의 그래프는 두 점 ","$Lcd",", ","$Lce","을 지난다."]}],"$Lcf","$Ld0","$Ld1"]}] d2:T835,

a \circledcirc b = ab - \left( a + b \right) + 2

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

a

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

b

"}}],"에 대하여 두 연산 ◎와 *를 각각\n\t\t",["$","span","p0-0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$d2"}}],"\n\t\t","$Ld3","\n로 정의할 때, 옳은 것만을 <보기>에서 있는대로 고른 것은?\n[4점]"]}],"$Ld4","$Ld5"]}] d6:Te48,

\displaystyle \frac{1 + i}{1 - i} + \left( 1 + 2 i \right) \left( 3 - i \right) = a + bi

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":["",["$","span","p0-0-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$d6"}}],"일 때, ","$Ld7","의 값을 구하시오.\n(단, ","$Ld8","이고, ","$Ld9",", ","$Lda","는 실수이다.) [2점]"]}]]}] db:T8f5,

x ^{2} + \left( m + n \right) x - mn = 0

dc:T822,

\displaystyle 4 + \sqrt{2} i

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

x

"}}],"에 대한 이차방정식 ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$db"}}],"의 한 근이\n",["$","span","p0-0-t0-m5",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$dc"}}],"일 때, ","$Ldd","의 값을 구하시오.\n(단, ","$Lde","이고 ","$Ldf",", ","$Le0","은 실수이다.) [3점]"]}]]}] e1:T993,

\displaystyle y = \sqrt{3} x + k

e2:Ta23,

x ^{2} + y ^{2} - 6 y - 7 = 0

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":["직선 ",["$","span","p0-0-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$e1"}}],"가 원 ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$e2"}}],"에 접할 때, 모든 실수 ","$Le3","의 값의 합을 구하시오. [3점]"]}]]}] e4:T4ef,

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

e5:T463,

f : X \rightarrow X

e6:T751,

f ^{1} \left( x \right) = f \left( x \right)

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":["집합 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$e4"}}],"에 대하여 함수 ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$e5"}}],"가 그림과 같이 주어져 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/668/image5-lVI2WCheJu8z7Wx7OgPJ2pLHWImFFq.png","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"27cqw"}}]]}],["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["",["$","span","p0-2-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$e6"}}],", ","$Le7","","$Le8","이라 할 때,\n","$Le9","의 값을 구하시오. [4점]"]}]]}] 32:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["다음과 같이 부피가 서로 다른 네 종류의 나무토막 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{A}}

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

{\\mathrm{B}}

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

{\\mathrm{C}}

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

{\\mathrm{D}}

"}}],"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/668/image6-SbsMNVC9Jy07GiLQ22F4uJjo426adb.png","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"43cqw"}}]]}],["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["",["$","span","p0-2-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{A}}

"}}]," : 한 모서리의 길이가 ",["$","span","p0-2-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x

"}}],"인 정육면체\n","$Lea"," : 세 모서리의 길이가 각각 ","$Leb",", ","$Lec",", ","$Led","인 직육면체\n","$Lee"," : 세 모서리의 길이가 각각 ","$Lef",", ","$Lf0",", ","$Lf1","인 직육면체\n","$Lf2"," : 한 모서리의 길이가 ","$Lf3","인 정육면체"]}],"$Lf4"]}] f5:T742,

f \left( x \right) = x ^{2} - 6 x

f6:T650,

y = f ^{- 1} \left( x \right)

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":["함수 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$f5"}}],"",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\left( x \\geq 3 \\right)

"}}],"의 그래프와 그 역함수 ",["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$f6"}}],"의 그래프의 교점이 ","$Lf7","일 때, ","$Lf8","의 값을 구하시오. [3점]"]}]]}] f9:Tfe5,

\displaystyle {\begin{cases} \left| x - 2 \right| < k & \\ x ^{2} - 2 x - 3 \leq 0 & \end{cases}}

2010년-11월-고1-수학영역