Maxim Dolgolyov
805 lines
40 KiB
HTML
805 lines
40 KiB
HTML
<!DOCTYPE html>
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<html lang="ru">
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<head>
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<meta charset="UTF-8">
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<meta http-equiv="Cache-Control" content="no-cache, no-store, must-revalidate">
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<meta http-equiv="Pragma" content="no-cache">
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<meta http-equiv="Expires" content="0">
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<meta name="viewport" content="width=device-width,initial-scale=1.0">
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<title>Алгебра 11 класс — учебник</title>
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<link href="https://fonts.googleapis.com/css2?family=Outfit:wght@400;500;600;700;800;900&family=Inter:wght@400;500;600;700&family=Unbounded:wght@400;700;800;900&display=swap" rel="stylesheet">
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<link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.16.9/dist/katex.min.css">
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<script defer src="https://cdn.jsdelivr.net/npm/katex@0.16.9/dist/katex.min.js"></script>
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<script defer src="https://cdn.jsdelivr.net/npm/katex@0.16.9/dist/contrib/auto-render.min.js"></script>
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<script src="/js/api.js" defer></script>
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<script src="/js/xp.js" defer></script>
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<style>
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:root{
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--bg:#ecfdf5; --card:#fff;
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--text:#0f172a; --muted:#475569;
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--border:#a7f3d0;
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--pri:#0d9488; --pri-d:#0f766e;
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--pri-soft:#ccfbf1;
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--ch1:#d97706; --ch1-d:#b45309;
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--ch2:#7c3aed; --ch2-d:#6d28d9;
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--ch3:#0891b2; --ch3-d:#0e7490;
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--sh:0 4px 16px rgba(13,148,136,.10);
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--sh-h:0 12px 36px rgba(13,148,136,.18);
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}
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html.dark{
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--bg:#031916; --card:#0a2421;
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--text:#ecfdf5; --muted:#94d3c1;
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--border:#0f3934;
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--pri-soft:rgba(13,148,136,.16);
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}
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*{margin:0;padding:0;box-sizing:border-box}
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html,body{min-height:100vh}
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body{font-family:'Inter',system-ui,sans-serif;background:var(--bg);color:var(--text);line-height:1.55;transition:background .25s,color .25s}
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/* HEADER */
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.hdr{position:relative;background:linear-gradient(110deg,#115e59 0%,#0d9488 55%,#5eead4 100%);color:#fff;padding:32px 24px 28px;overflow:hidden;border-bottom:2px solid rgba(167,243,208,.18)}
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.hdr::before{content:'АЛГЕБРА';position:absolute;right:-14px;top:-18%;font-family:'Outfit',sans-serif;font-size:clamp(5rem,16vw,13rem);font-weight:900;letter-spacing:-.04em;color:transparent;-webkit-text-stroke:1.5px rgba(204,251,241,.12);line-height:1;pointer-events:none;user-select:none}
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.hdr-inner{position:relative;z-index:1;max-width:1100px;margin:0 auto;display:flex;align-items:center;gap:18px;flex-wrap:wrap}
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.hdr-back{display:inline-flex;align-items:center;gap:8px;padding:8px 14px;background:rgba(255,255,255,.14);border-radius:9px;color:#fff;text-decoration:none;font-size:.85rem;font-weight:600;transition:background .15s}
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.hdr-back:hover{background:rgba(255,255,255,.24)}
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.hdr h1{font-family:'Outfit',sans-serif;font-size:1.85rem;font-weight:900;letter-spacing:-.01em}
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.hdr-sub{font-size:.92rem;opacity:.88;margin-top:4px}
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.hdr-side{margin-left:auto;display:flex;gap:8px}
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.hdr-btn{padding:8px 12px;background:rgba(255,255,255,.14);border:none;color:#fff;border-radius:9px;cursor:pointer;font-weight:600;font-size:.82rem;display:inline-flex;align-items:center;gap:6px;transition:background .15s;font-family:inherit}
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.hdr-btn:hover{background:rgba(255,255,255,.24)}
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.ic{width:16px;height:16px;stroke:currentColor;fill:none;stroke-width:2;stroke-linecap:round;stroke-linejoin:round}
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main{max-width:1100px;margin:0 auto;padding:32px 24px 60px}
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/* OVERALL PROGRESS */
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.prog-overall{background:linear-gradient(135deg,var(--pri-soft),rgba(94,234,212,.12));border:1px solid var(--border);border-radius:14px;padding:14px 18px;margin-bottom:28px;display:flex;gap:14px;align-items:center;flex-wrap:wrap}
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.po-icon{width:46px;height:46px;border-radius:12px;background:linear-gradient(135deg,#0d9488,#5eead4);color:#fff;display:flex;align-items:center;justify-content:center;flex-shrink:0;font-family:'Outfit',sans-serif;font-size:1.4rem;font-weight:900;font-style:italic}
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.po-text{flex:1;min-width:160px}
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.po-label{font-size:.78rem;font-weight:700;color:var(--muted);text-transform:uppercase;letter-spacing:.06em;margin-bottom:4px}
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.po-bar{height:8px;background:rgba(13,148,136,.14);border-radius:5px;overflow:hidden;margin-top:6px}
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.po-fill{height:100%;background:linear-gradient(90deg,var(--pri),#5eead4);border-radius:5px;transition:width .5s}
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.po-xp{display:inline-flex;align-items:center;gap:6px;padding:6px 14px;background:linear-gradient(135deg,#f59e0b,var(--pri));color:#fff;border-radius:99px;font-size:.8rem;font-weight:800;font-family:'Unbounded',sans-serif;letter-spacing:.02em;box-shadow:0 4px 12px rgba(13,148,136,.24)}
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/* CHAPTER GRID — 3 chapters */
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.ch-grid{display:grid;grid-template-columns:1fr;gap:18px;margin-bottom:30px}
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@media(min-width:680px){.ch-grid{grid-template-columns:1fr 1fr}}
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@media(min-width:1000px){.ch-grid{grid-template-columns:repeat(3,1fr)}}
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.ch-card{background:var(--card);border:1.5px solid var(--border);border-radius:18px;overflow:hidden;display:flex;flex-direction:column;transition:transform .2s,box-shadow .2s,border-color .2s;cursor:pointer;text-decoration:none;color:inherit}
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.ch-card:hover{transform:translateY(-4px);box-shadow:var(--sh-h)}
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.ch-cover{padding:22px 22px 18px;color:#fff;position:relative;overflow:hidden}
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.ch-cover-wm{position:absolute;right:-8px;top:-22px;font-size:5.2rem;font-weight:900;font-family:'Outfit',sans-serif;line-height:1;color:rgba(255,255,255,.20);pointer-events:none;letter-spacing:-.04em}
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.ch-num{display:inline-block;padding:4px 10px;background:rgba(255,255,255,.22);border-radius:99px;font-size:.7rem;font-weight:700;text-transform:uppercase;letter-spacing:.08em;margin-bottom:8px;position:relative;z-index:1}
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.ch-title{font-family:'Outfit',sans-serif;font-size:1.1rem;font-weight:800;letter-spacing:-.01em;position:relative;z-index:1;line-height:1.3}
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.ch-range{font-size:.84rem;opacity:.88;margin-top:4px;position:relative;z-index:1;font-weight:500}
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.ch-cover.ch1{background:linear-gradient(135deg,#92400e,#d97706 60%,#fbbf24)}
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.ch-cover.ch2{background:linear-gradient(135deg,#3b0764,#7c3aed 60%,#a78bfa)}
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.ch-cover.ch3{background:linear-gradient(135deg,#164e63,#0891b2 60%,#22d3ee)}
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.ch-body{padding:16px 20px 18px;display:flex;flex-direction:column;flex:1}
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.ch-desc{font-size:.88rem;color:var(--text);opacity:.84;flex:1;margin-bottom:12px;line-height:1.55}
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.ch-prog{margin-bottom:12px}
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.ch-prog-label{display:flex;justify-content:space-between;font-size:.74rem;color:var(--muted);font-weight:600;margin-bottom:4px}
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.ch-prog-bar{height:6px;background:rgba(0,0,0,.07);border-radius:4px;overflow:hidden}
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.ch-prog-fill{height:100%;border-radius:4px;transition:width .5s}
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.ch-card.ch1-card .ch-prog-fill{background:linear-gradient(90deg,var(--ch1),var(--ch1-d))}
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.ch-card.ch2-card .ch-prog-fill{background:linear-gradient(90deg,var(--ch2),var(--ch2-d))}
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.ch-card.ch3-card .ch-prog-fill{background:linear-gradient(90deg,var(--ch3),var(--ch3-d))}
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.ch-action{display:flex;align-items:center;justify-content:space-between;padding:10px 14px;border-radius:11px;font-weight:700;font-size:.9rem;color:#fff;transition:filter .15s}
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.ch-action:hover{filter:brightness(1.08)}
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.ch-card.ch1-card .ch-action{background:linear-gradient(135deg,var(--ch1),#fbbf24)}
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.ch-card.ch2-card .ch-action{background:linear-gradient(135deg,var(--ch2),#a78bfa)}
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.ch-card.ch3-card .ch-action{background:linear-gradient(135deg,var(--ch3),#22d3ee)}
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/* ACHIEVEMENT STRIP */
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.ach-strip{background:var(--card);border:1.5px solid var(--border);border-radius:16px;padding:18px 22px;margin-bottom:28px;display:flex;align-items:center;gap:16px;transition:border-color .4s,box-shadow .4s}
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.ach-strip.lit{border-color:#f59e0b;box-shadow:0 0 0 3px rgba(245,158,11,.18)}
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.ach-icon{width:52px;height:52px;border-radius:14px;background:rgba(0,0,0,.06);display:flex;align-items:center;justify-content:center;flex-shrink:0;transition:background .4s}
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.ach-strip.lit .ach-icon{background:linear-gradient(135deg,#fbbf24,#f59e0b)}
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.ach-icon svg{width:28px;height:28px;stroke:var(--muted);fill:none;stroke-width:2;stroke-linecap:round;stroke-linejoin:round}
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.ach-strip.lit .ach-icon svg{stroke:#fff}
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.ach-text{flex:1}
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.ach-title{font-weight:800;font-size:1.02rem;color:var(--text)}
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.ach-sub{font-size:.85rem;color:var(--muted);margin-top:2px}
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.ach-strip.lit .ach-title{color:#92400e}
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.foot{text-align:center;padding:24px 16px;color:var(--muted);font-size:.78rem;border-top:1px solid var(--border)}
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/* COURSE FINAL */
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.final-wrap{margin:0 0 28px;background:var(--card);border:1.5px solid var(--border);border-radius:18px;overflow:hidden;box-shadow:var(--sh)}
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.final-head{padding:18px 22px;background:linear-gradient(135deg,#115e59 0%,#0d9488 55%,#0891b2 100%);color:#fff;cursor:pointer;display:flex;align-items:center;gap:14px;user-select:none;transition:filter .15s}
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.final-head:hover{filter:brightness(1.06)}
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.final-head-icon{width:46px;height:46px;border-radius:12px;background:rgba(255,255,255,.18);display:flex;align-items:center;justify-content:center;flex-shrink:0}
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.final-head-icon svg{width:26px;height:26px;stroke:#fff;fill:none;stroke-width:2;stroke-linecap:round;stroke-linejoin:round}
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.final-head-text{flex:1;min-width:0}
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.final-head-tag{display:inline-block;padding:3px 9px;background:rgba(255,255,255,.22);border-radius:99px;font-size:.7rem;font-weight:700;text-transform:uppercase;letter-spacing:.08em;margin-bottom:4px}
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.final-head-title{font-family:'Outfit',sans-serif;font-size:1.18rem;font-weight:800;letter-spacing:-.01em;line-height:1.25}
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.final-head-sub{font-size:.84rem;opacity:.9;margin-top:2px}
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.final-chevron{flex-shrink:0;transition:transform .25s}
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.final-chevron svg{width:24px;height:24px;stroke:#fff;fill:none;stroke-width:2.4;stroke-linecap:round;stroke-linejoin:round}
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.final-wrap.open .final-chevron{transform:rotate(180deg)}
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.final-body{display:none;padding:22px}
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.final-wrap.open .final-body{display:block}
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.fin-placeholder{padding:24px 18px;background:linear-gradient(135deg,var(--pri-soft),rgba(94,234,212,.08));border:1.5px dashed var(--pri);border-radius:14px;text-align:center;color:var(--text)}
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.fin-placeholder h3{font-family:'Outfit',sans-serif;color:var(--pri-d);margin-bottom:8px;font-size:1.1rem}
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.fin-placeholder p{color:var(--muted);font-size:.92rem;line-height:1.55}
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.fin-section-title{font-family:'Outfit',sans-serif;font-size:1.18rem;font-weight:800;color:var(--text);margin:8px 0 14px;letter-spacing:-.005em;display:flex;align-items:center;gap:9px}
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.fin-section-title svg{width:20px;height:20px;stroke:var(--pri);fill:none;stroke-width:2;stroke-linecap:round;stroke-linejoin:round}
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/* CHEAT SHEET */
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.cheat-grid{display:grid;grid-template-columns:1fr;gap:14px;margin-bottom:28px}
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@media(min-width:680px){.cheat-grid{grid-template-columns:1fr 1fr}}
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@media(min-width:1000px){.cheat-grid{grid-template-columns:repeat(3,1fr)}}
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.cheat-card{border:1.5px solid var(--border);border-radius:13px;padding:14px 16px;background:var(--card);position:relative;overflow:hidden}
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.cheat-card::before{content:'';position:absolute;left:0;top:0;bottom:0;width:4px}
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.cheat-card.c1::before{background:linear-gradient(180deg,var(--ch1),var(--ch1-d))}
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.cheat-card.c2::before{background:linear-gradient(180deg,var(--ch2),var(--ch2-d))}
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.cheat-card.c3::before{background:linear-gradient(180deg,var(--ch3),var(--ch3-d))}
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.cheat-head{display:flex;align-items:center;gap:9px;margin-bottom:9px;padding-left:6px}
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.cheat-badge{font-size:.7rem;font-weight:800;padding:2px 8px;border-radius:99px;color:#fff;letter-spacing:.05em;text-transform:uppercase}
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.cheat-card.c1 .cheat-badge{background:var(--ch1)}
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.cheat-card.c2 .cheat-badge{background:var(--ch2)}
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.cheat-card.c3 .cheat-badge{background:var(--ch3)}
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.cheat-title{font-weight:800;color:var(--text);font-size:.98rem}
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.cheat-list{list-style:none;padding-left:6px;margin:0}
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.cheat-list li{padding:6px 0;border-bottom:1px dashed var(--border);font-size:.92rem;line-height:1.5;color:var(--text)}
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.cheat-list li:last-child{border-bottom:0}
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/* BOSS PROGRESS */
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.boss-overall-bar{background:linear-gradient(135deg,rgba(13,148,136,.08),rgba(94,234,212,.06));border:1px solid var(--border);border-radius:12px;padding:13px 16px;margin:6px 0 18px;display:flex;gap:14px;align-items:center;flex-wrap:wrap}
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.boss-overall-bar .lab{font-weight:700;font-size:.95rem;color:var(--text);min-width:200px}
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.boss-overall-bar .bar{flex:1;min-width:160px;height:9px;background:rgba(13,148,136,.14);border-radius:5px;overflow:hidden}
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.boss-overall-bar .fill{height:100%;background:linear-gradient(90deg,var(--pri),#5eead4,#f59e0b);transition:width .5s;border-radius:5px}
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/* BOSS CARDS */
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.boss-card{background:var(--card);border:2px solid var(--border);border-radius:14px;padding:16px;margin-bottom:14px;transition:border-color .35s,box-shadow .35s,transform .2s}
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.boss-card.solved{border-color:#10b981;box-shadow:0 0 0 3px rgba(16,185,129,.18)}
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.boss-head{display:flex;align-items:center;gap:10px;margin-bottom:10px;flex-wrap:wrap}
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.boss-tag{font-size:.7rem;font-weight:800;padding:3px 9px;border-radius:99px;background:rgba(13,148,136,.14);color:var(--pri-d);letter-spacing:.04em;text-transform:uppercase}
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html.dark .boss-tag{color:#5eead4}
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.boss-title{font-family:'Outfit',sans-serif;font-weight:800;color:var(--text);font-size:1.02rem;flex:1;min-width:0}
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.boss-q{padding:12px 14px;background:rgba(13,148,136,.06);border-radius:10px;font-size:.96rem;line-height:1.55;margin-bottom:10px;color:var(--text)}
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.boss-row{display:flex;gap:8px;align-items:center;flex-wrap:wrap;margin-bottom:6px}
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.boss-input{padding:8px 12px;border:1.5px solid var(--border);border-radius:8px;background:var(--card);color:var(--text);font-family:'JetBrains Mono',monospace;width:130px;text-align:center;font-size:.95rem;transition:border-color .15s}
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.boss-input:focus{outline:0;border-color:var(--pri);box-shadow:0 0 0 3px var(--pri-soft)}
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.boss-btn{padding:8px 16px;border-radius:9px;background:var(--card);color:var(--text);border:1.5px solid var(--border);font-weight:700;font-size:.88rem;cursor:pointer;font-family:inherit;transition:background .15s,border-color .15s,transform .1s}
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.boss-btn:hover{background:var(--pri-soft);border-color:var(--pri)}
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.boss-btn:active{transform:scale(.96)}
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.boss-btn.primary{background:linear-gradient(135deg,var(--pri),#0891b2);color:#fff;border-color:transparent}
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.boss-btn.primary:hover{filter:brightness(1.08)}
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.boss-fb{padding:10px 14px;border-radius:9px;font-weight:600;font-size:.88rem;margin-top:8px;display:none;line-height:1.45}
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.boss-fb.ok{display:block;background:#d1fae5;color:#065f46;border-left:4px solid #10b981}
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.boss-fb.fail{display:block;background:#fee2e2;color:#7f1d1d;border-left:4px solid #dc2626}
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html.dark .boss-fb.ok{background:rgba(16,185,129,.18);color:#a7f3d0}
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html.dark .boss-fb.fail{background:rgba(220,38,38,.18);color:#fecaca}
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.boss-hint-txt{margin-top:8px;padding:9px 13px;background:rgba(245,158,11,.12);border-left:3px solid #f59e0b;border-radius:6px;font-size:.86rem;color:var(--text);display:none;line-height:1.5}
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.boss-hint-txt.show{display:block}
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/* FINAL CTA */
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.final-cta{margin-top:24px;padding:18px 20px;border-radius:14px;background:linear-gradient(135deg,#fef3c7,#fde68a);border:1.5px solid #fbbf24;display:none;align-items:center;gap:14px;flex-wrap:wrap}
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.final-cta.show{display:flex}
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html.dark .final-cta{background:linear-gradient(135deg,rgba(245,158,11,.18),rgba(217,119,6,.15));border-color:#d97706}
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.final-cta-icon{width:48px;height:48px;border-radius:12px;background:linear-gradient(135deg,#fbbf24,#f59e0b);display:flex;align-items:center;justify-content:center;flex-shrink:0}
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.final-cta-icon svg{width:28px;height:28px;stroke:#fff;fill:none;stroke-width:2;stroke-linecap:round;stroke-linejoin:round}
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.final-cta-txt{flex:1;min-width:180px}
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.final-cta-title{font-weight:800;color:#92400e;font-size:1.05rem;font-family:'Outfit',sans-serif}
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html.dark .final-cta-title{color:#fde68a}
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.final-cta-sub{font-size:.86rem;color:#78350f;margin-top:2px}
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html.dark .final-cta-sub{color:#fcd34d}
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.final-cta-btn{padding:10px 18px;border-radius:10px;background:linear-gradient(135deg,var(--pri),#0891b2);color:#fff;text-decoration:none;font-weight:800;font-size:.9rem;display:inline-flex;align-items:center;gap:7px;transition:filter .15s}
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.final-cta-btn:hover{filter:brightness(1.1)}
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.final-cta-btn svg{width:16px;height:16px;stroke:currentColor;fill:none;stroke-width:2;stroke-linecap:round;stroke-linejoin:round}
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</style>
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</head>
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<body>
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<header class="hdr">
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<div class="hdr-inner">
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<div>
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<a href="/textbooks" class="hdr-back">
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<svg class="ic" viewBox="0 0 24 24"><polyline points="15 18 9 12 15 6"/></svg>
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К каталогу
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</a>
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</div>
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<div>
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<h1>Алгебра — 11 класс</h1>
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<div class="hdr-sub">Полный курс: степени и логарифмы, показательная и логарифмическая функции, уравнения и неравенства</div>
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</div>
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<div class="hdr-side">
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<button id="theme-btn" class="hdr-btn" title="Сменить тему">
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<div class="ch-cover-wm">aˣ</div>
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<div class="ch-num">Глава 1</div>
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<div class="ch-title">Обобщение понятия степени</div>
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<div class="ch-range">§1–§3 + Финал</div>
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</div>
|
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<div class="ch-body">
|
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<div class="ch-desc">Степень с рациональным и действительным показателем, степенная функция и её свойства, определение логарифма и основное логарифмическое тождество.</div>
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<div class="ch-title">Показательная функция</div>
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<div class="ch-range">§4–§6 + Финал</div>
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<div class="ch-desc">Показательная функция $y=a^x$ и её свойства, показательные уравнения четырьмя методами, показательные неравенства с учётом монотонности.</div>
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<div class="ch-title">Логарифмическая функция</div>
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<div class="ch-range">§7–§10 + Финал</div>
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<div class="ch-desc">Свойства логарифмов, логарифмическая функция $y=\log_a x$, логарифмические уравнения и неравенства с учётом ОДЗ.</div>
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Шпаргалка курса
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<div class="cheat-grid">
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<div class="cheat-card c1">
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<div class="cheat-head">
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<span class="cheat-badge">Гл. 1</span>
|
||
<span class="cheat-title">Обобщение степени</span>
|
||
</div>
|
||
<ul class="cheat-list">
|
||
<li>$a^{m/n} = \sqrt[n]{a^m}$</li>
|
||
<li>Свойства: $a^p \cdot a^q = a^{p+q}$, $(a^p)^q = a^{pq}$, $(ab)^p = a^p b^p$</li>
|
||
<li>$y = x^\alpha$ — 6 типов в зависимости от $\alpha$</li>
|
||
<li>$\log_a b = c \Leftrightarrow a^c = b$</li>
|
||
<li>Осн. тождество: $a^{\log_a b} = b$</li>
|
||
</ul>
|
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</div>
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<div class="cheat-card c2">
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<div class="cheat-head">
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<span class="cheat-badge">Гл. 2</span>
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<span class="cheat-title">Показательная функция</span>
|
||
</div>
|
||
<ul class="cheat-list">
|
||
<li>$y = a^x$, $a > 0, a \ne 1$. $D = \mathbb{R}$, $E = (0; +\infty)$</li>
|
||
<li>$a > 1$ — возрастает, $0 < a < 1$ — убывает</li>
|
||
<li>$a^{f(x)} = a^{g(x)} \Leftrightarrow f(x) = g(x)$</li>
|
||
<li>Методы: одно осн., замена ($t = a^x > 0$), однород., граф.</li>
|
||
<li>Нер-ва: знак сохр. при $a > 1$, меняется при $a < 1$</li>
|
||
</ul>
|
||
</div>
|
||
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|
||
<div class="cheat-head">
|
||
<span class="cheat-badge">Гл. 3</span>
|
||
<span class="cheat-title">Логарифмическая функция</span>
|
||
</div>
|
||
<ul class="cheat-list">
|
||
<li>$\log_a (bc) = \log_a b + \log_a c$, $\log_a \dfrac{b}{c} = \log_a b - \log_a c$</li>
|
||
<li>$\log_a b^n = n \log_a b$, $\log_a b = \dfrac{\log_c b}{\log_c a}$</li>
|
||
<li>$y = \log_a x$: $D = (0; +\infty)$, $E = \mathbb{R}$, обр. к $a^x$</li>
|
||
<li>Уравнения и нер-ва: <b>ВСЕГДА учитываем ОДЗ</b> ($f(x) > 0$)</li>
|
||
<li>$a > 1$ — знак сохр., $0 < a < 1$ — меняется</li>
|
||
</ul>
|
||
</div>
|
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<div class="ach-title">Магистр алгебры 11</div>
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<div class="ach-sub" id="ach-sub">Прочитайте все 10 параграфов трёх глав, чтобы получить достижение</div>
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Интерактивный учебник «Алгебра — 11 класс» · LearnSpace
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n: 1,
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||
title: 'Степень + Логарифм',
|
||
tag: 'Гл. 1',
|
||
q: 'Вычислите: $4^{\\log_2 5}$.',
|
||
hint: '$4 = 2^2$, поэтому $4^{\\log_2 5} = 2^{2 \\log_2 5} = 2^{\\log_2 25}$.',
|
||
ans: 25,
|
||
step: '1'
|
||
},
|
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{
|
||
n: 2,
|
||
title: 'Показательное уравнение через замену',
|
||
tag: 'Гл. 2',
|
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q: 'Решите $4^x - 3 \\cdot 2^x + 2 = 0$. Найдите <b>сумму корней</b>.',
|
||
hint: 'Замена $t = 2^x$: $t^2 - 3t + 2 = 0$. Найдите $t_1, t_2$, затем $x_1, x_2$.',
|
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ans: 1,
|
||
step: '1'
|
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},
|
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{
|
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n: 3,
|
||
title: 'Логарифмическое неравенство с ОДЗ',
|
||
tag: 'Гл. 3',
|
||
q: 'Решите $\\log_{1/2} (x - 1) > -2$. Какое <b>наибольшее целое</b> $x$ удовлетворяет?',
|
||
hint: 'ОДЗ: $x > 1$. $-2 = \\log_{1/2} 4$. При $a < 1$ знак меняется: $x - 1 < 4$.',
|
||
ans: 4,
|
||
step: '1'
|
||
},
|
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{
|
||
n: 4,
|
||
title: 'Свойства логарифмов',
|
||
tag: 'Гл. 3',
|
||
q: 'Упростите $\\log_2 48 - \\log_2 3$.',
|
||
hint: 'Разность логарифмов = логарифм частного: $\\log_2 \\dfrac{48}{3} = \\log_2 16$.',
|
||
ans: 4,
|
||
step: '1'
|
||
},
|
||
{
|
||
n: 5,
|
||
title: 'Графический синтез',
|
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tag: 'Гл. 2 + Гл. 3',
|
||
q: 'Сколько решений имеет уравнение $2^x = 6 - x$?',
|
||
hint: '$y = 2^x$ возрастает, $y = 6 - x$ убывает. При $x = 2$: $4 = 4$ ✓. Пересечение возр. и убыв. графиков.',
|
||
ans: 1,
|
||
step: '1'
|
||
},
|
||
{
|
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n: 6,
|
||
title: 'Логарифмирование показательного',
|
||
tag: 'Гл. 2 + Гл. 3',
|
||
q: 'Решите $5^{2x} = 7$. Введите $x$ в виде десятичной дроби (округлите до сотых, допуск 0.05).',
|
||
hint: '$2x = \\log_5 7 = \\dfrac{\\lg 7}{\\lg 5} \\approx \\dfrac{0{,}845}{0{,}699}$. Затем $x = \\dfrac{\\log_5 7}{2}$.',
|
||
ans: 0.60,
|
||
tol: 0.05,
|
||
step: '0.01'
|
||
},
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{
|
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n: 7,
|
||
title: 'Магистр функций',
|
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tag: 'синтез всех 3 глав',
|
||
q: 'При каком целом $a$ функция $y = (5 - a)^x$ возрастает на $\\mathbb{R}$? Введите <b>наибольшее</b> такое целое $a$ из множества $\\{1, 2, 3, 4\\}$.',
|
||
hint: 'Для возрастания $y = b^x$ нужно $b > 1$, т.е. $5 - a > 1 \\Rightarrow a < 4$.',
|
||
ans: 3,
|
||
step: '1'
|
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|
||
if (lab) lab.textContent = 'Боссов побеждено: ' + won + ' / ' + FIN_BOSSES.length;
|
||
if (fill) fill.style.width = Math.round(won * 100 / FIN_BOSSES.length) + '%';
|
||
return won;
|
||
}
|
||
|
||
function maybeUnlockMaster(state){
|
||
if (localStorage.getItem(FIN_ACH_KEY) === '1') return;
|
||
var won = 0;
|
||
for (var k in state) if (state[k]) won++;
|
||
if (won < FIN_BOSSES.length) return;
|
||
|
||
localStorage.setItem(FIN_ACH_KEY, '1');
|
||
|
||
/* +50 XP */
|
||
var xp = parseInt(localStorage.getItem('algebra11_xp') || '0', 10) || 0;
|
||
localStorage.setItem('algebra11_xp', String(xp + 50));
|
||
|
||
/* trigger global XP system if available */
|
||
try {
|
||
if (window.LS && typeof window.LS.addXp === 'function') {
|
||
window.LS.addXp(50, 'algebra11-master');
|
||
} else if (typeof window.addXp === 'function') {
|
||
window.addXp(50, 'algebra11-master');
|
||
}
|
||
} catch(e){}
|
||
|
||
/* confetti */
|
||
try { if (typeof window.confetti === 'function') window.confetti({particleCount: 160, spread: 90, origin: {y: .6}}); } catch(e){}
|
||
|
||
/* light up ach-strip */
|
||
var strip = document.getElementById('ach-strip');
|
||
var sub = document.getElementById('ach-sub');
|
||
if (strip) strip.classList.add('lit');
|
||
if (sub) sub.textContent = 'Выполнено! Вы — Магистр алгебры 11.';
|
||
|
||
/* show CTA */
|
||
var cta = document.getElementById('final-cta');
|
||
if (cta) cta.classList.add('show');
|
||
|
||
/* refresh XP badge */
|
||
var xpBadge = document.getElementById('hero-xp-badge');
|
||
if (xpBadge) {
|
||
var newXp = parseInt(localStorage.getItem('algebra11_xp') || '0', 10) || 0;
|
||
xpBadge.style.display = '';
|
||
xpBadge.textContent = newXp + ' XP';
|
||
}
|
||
}
|
||
|
||
function buildFinBoss(b, state){
|
||
var solvedClass = state[b.n] ? ' solved' : '';
|
||
var step = b.step || '1';
|
||
var displayAns = (typeof b.ans === 'number' && step !== '1') ? b.ans.toFixed(2) : b.ans;
|
||
return '<div class="boss-card' + solvedClass + '" id="fin-boss-' + b.n + '-card">'
|
||
+ '<div class="boss-head">'
|
||
+ '<span class="boss-tag">' + b.tag + '</span>'
|
||
+ '<span class="boss-title">Босс ' + b.n + '. ' + b.title + '</span>'
|
||
+ '</div>'
|
||
+ '<div class="boss-q" id="fin-boss-' + b.n + '-q">' + b.q + '</div>'
|
||
+ '<div class="boss-row">'
|
||
+ '<input type="number" step="' + step + '" class="boss-input" id="fin-boss-' + b.n + '-inp" placeholder="число"' + (state[b.n] ? ' value="' + displayAns + '" disabled' : '') + '>'
|
||
+ '<button class="boss-btn primary" id="fin-boss-' + b.n + '-go"' + (state[b.n] ? ' disabled' : '') + '>Атаковать</button>'
|
||
+ '<button class="boss-btn" id="fin-boss-' + b.n + '-hint">Подсказка</button>'
|
||
+ '</div>'
|
||
+ '<div class="boss-hint-txt" id="fin-boss-' + b.n + '-hinttxt">' + b.hint + '</div>'
|
||
+ '<div class="boss-fb' + (state[b.n] ? ' ok' : '') + '" id="fin-boss-' + b.n + '-fb">' + (state[b.n] ? 'Победа! +15 XP. Босс уже повержен.' : '') + '</div>'
|
||
+ '</div>';
|
||
}
|
||
|
||
function bindFinBoss(b){
|
||
var state = loadFinBossState();
|
||
var goBtn = document.getElementById('fin-boss-' + b.n + '-go');
|
||
var hintBtn = document.getElementById('fin-boss-' + b.n + '-hint');
|
||
var inp = document.getElementById('fin-boss-' + b.n + '-inp');
|
||
var fb = document.getElementById('fin-boss-' + b.n + '-fb');
|
||
var hintTx = document.getElementById('fin-boss-' + b.n + '-hinttxt');
|
||
var card = document.getElementById('fin-boss-' + b.n + '-card');
|
||
if (!goBtn) return;
|
||
|
||
if (hintBtn) hintBtn.addEventListener('click', function(){
|
||
if (hintTx) hintTx.classList.toggle('show');
|
||
});
|
||
|
||
if (state[b.n]) return; /* already solved */
|
||
|
||
goBtn.addEventListener('click', function(){
|
||
var v = parseFloat((inp.value || '').replace(',', '.'));
|
||
if (isNaN(v)) {
|
||
fb.className = 'boss-fb fail';
|
||
fb.textContent = 'Введите число.';
|
||
return;
|
||
}
|
||
var tol = (typeof b.tol === 'number') ? b.tol : 1e-9;
|
||
if (Math.abs(v - b.ans) < tol) {
|
||
fb.className = 'boss-fb ok';
|
||
fb.textContent = 'Победа! +15 XP. Босс повержен.';
|
||
card.classList.add('solved');
|
||
goBtn.disabled = true;
|
||
inp.disabled = true;
|
||
|
||
var s = loadFinBossState();
|
||
if (!s[b.n]) {
|
||
s[b.n] = true;
|
||
saveFinBossState(s);
|
||
|
||
/* +15 XP */
|
||
var xp = parseInt(localStorage.getItem('algebra11_xp') || '0', 10) || 0;
|
||
localStorage.setItem('algebra11_xp', String(xp + 15));
|
||
try {
|
||
if (window.LS && typeof window.LS.addXp === 'function') window.LS.addXp(15, 'fin-boss-' + b.n);
|
||
else if (typeof window.addXp === 'function') window.addXp(15, 'fin-boss-' + b.n);
|
||
} catch(e){}
|
||
|
||
var xpBadge = document.getElementById('hero-xp-badge');
|
||
if (xpBadge) {
|
||
var nXp = parseInt(localStorage.getItem('algebra11_xp') || '0', 10) || 0;
|
||
xpBadge.style.display = '';
|
||
xpBadge.textContent = nXp + ' XP';
|
||
}
|
||
|
||
updateFinBossBar(s);
|
||
maybeUnlockMaster(s);
|
||
}
|
||
} else {
|
||
fb.className = 'boss-fb fail';
|
||
fb.textContent = 'Не то. Перепроверь решение и попробуй снова.';
|
||
}
|
||
});
|
||
|
||
inp.addEventListener('keydown', function(e){
|
||
if (e.key === 'Enter') { e.preventDefault(); goBtn.click(); }
|
||
});
|
||
}
|
||
|
||
var FIN_BOSSES_RENDERED = false;
|
||
function renderFinBosses(){
|
||
if (FIN_BOSSES_RENDERED) return;
|
||
var cont = document.getElementById('fin-bosses-container');
|
||
if (!cont) return;
|
||
var state = loadFinBossState();
|
||
var html = '';
|
||
for (var i = 0; i < FIN_BOSSES.length; i++) html += buildFinBoss(FIN_BOSSES[i], state);
|
||
cont.innerHTML = html;
|
||
for (var j = 0; j < FIN_BOSSES.length; j++) bindFinBoss(FIN_BOSSES[j]);
|
||
|
||
var wrap = document.getElementById('course-final');
|
||
finRenderKatex(wrap);
|
||
|
||
updateFinBossBar(state);
|
||
|
||
/* if already mastered: show CTA */
|
||
if (localStorage.getItem(FIN_ACH_KEY) === '1') {
|
||
var cta = document.getElementById('final-cta');
|
||
if (cta) cta.classList.add('show');
|
||
var strip = document.getElementById('ach-strip');
|
||
var sub = document.getElementById('ach-sub');
|
||
if (strip) strip.classList.add('lit');
|
||
if (sub) sub.textContent = 'Выполнено! Вы — Магистр алгебры 11.';
|
||
}
|
||
|
||
FIN_BOSSES_RENDERED = true;
|
||
}
|
||
|
||
/* FINAL ACCORDION */
|
||
(function bindFinalAccordion(){
|
||
var head = document.getElementById('final-head');
|
||
var wrap = document.getElementById('course-final');
|
||
if (!head || !wrap) return;
|
||
|
||
function toggle(){
|
||
var willOpen = !wrap.classList.contains('open');
|
||
wrap.classList.toggle('open');
|
||
head.setAttribute('aria-expanded', willOpen ? 'true' : 'false');
|
||
if (willOpen) {
|
||
renderFinBosses();
|
||
finRenderKatex(wrap);
|
||
}
|
||
}
|
||
|
||
head.addEventListener('click', toggle);
|
||
head.addEventListener('keydown', function(e){
|
||
if (e.key === 'Enter' || e.key === ' ') { e.preventDefault(); toggle(); }
|
||
});
|
||
})();
|
||
|
||
/* sync ach-strip + CTA on load if already mastered */
|
||
(function syncMasterOnLoad(){
|
||
if (localStorage.getItem(FIN_ACH_KEY) === '1') {
|
||
var strip = document.getElementById('ach-strip');
|
||
var sub = document.getElementById('ach-sub');
|
||
if (strip) strip.classList.add('lit');
|
||
if (sub) sub.textContent = 'Выполнено! Вы — Магистр алгебры 11.';
|
||
}
|
||
})();
|
||
|
||
function loadProgress() {
|
||
if (typeof window.LS === 'undefined' || typeof window.LS.api !== 'function') {
|
||
renderProgress([]);
|
||
return;
|
||
}
|
||
window.LS.api('/api/textbooks/algebra-11/children')
|
||
.then(function(data) {
|
||
if (data && data.children) renderProgress(data.children);
|
||
else renderProgress([]);
|
||
})
|
||
.catch(function() { renderProgress([]); });
|
||
}
|
||
|
||
if (document.readyState === 'loading') {
|
||
document.addEventListener('DOMContentLoaded', loadProgress);
|
||
} else {
|
||
loadProgress();
|
||
}
|
||
window.addEventListener('focus', loadProgress);
|
||
</script>
|
||
|
||
</body>
|
||
</html>
|